This paper provides heat transfer and friction factor data for single -phase flow in a shell and tube heat exchanger fitted with a helical tape insert. In the double concentric tube heat exchanger, hot air was passed through the inner tube while the cold water was flowed through the annulus. The influences of the helical insert on heat transfer rate and friction factor were studied for counter flow, and Nusselt numbers and friction factor obtained were compared with previous data (Dittus 1930, Petukhov 1970, Moody 1944) for axial flows in the plain tube. The flow considered is in a low Reynolds number range between 2300 and 8800. A maximum percentage gain of 165% in heat transfer rate is obtained for using the helical insert in comparison with the plain tube.
A Review on Comparison between Shell And Tube Heat Exchanger And Helical Coil...ijiert bestjournal
The curved shape of the tube causes the flowing fluid to experience centrifugal force. The
extent of centrifugal force experienced depends on the local axial velocity of the fluid particle
and radius of curvature of the coil. The fluid particles flowing at the core of the pipe have
higher velocities than those flowing near to the pipe wall. Thus the fluid particles flowing
close to the tube wall experience a lower centrifugal force than the fluid particles flowing in
the tube core. This causes the fluid from the core region to be pushed towards the outer wall.
This stream bifurcates at the wall and drives the fluid towards the inner wall along the tube
periphery, causing generation of counter-rotating vortices called secondary flows which
produce additional transport of the fluid over the cross section of the pipe. This additional
convective transport increases heat transfer and the pressure drop when compared to that in a
straight tube.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
EXPERIMENTAL STUDY ON THE ANALYSIS OF HEAT ENHANCEMENT IN CORRUGATED TWISTED ...P singh
In heat exchanger, the enthalpy is transferred between two or more fluids, at different temperatures. The major challenge in designing a heat exchanger is to make the equipment more compact and achieve a high heat transfer rate using minimum pumping power. In recent years, the high cost of energy and material has resulted in an increased effort aimed at producing more efficient heat exchange equipment. Furthermore, as a heat exchanger becomes older, the resistance to heat transfer increases owing to fouling or scaling. The heat transfer rate can be improved by introducing a disturbance in the fluid flow thereby breaking the viscous and thermal boundary layer. However, in the process pumping power may increase significantly and ultimately the pumping cost becomes high. Therefore, to achieve a desired heat transfer rate in an existing heat exchanger at an economic pumping power, several techniques have been proposed in recent years and are discussed under the classification section.
In this work, a study of transient heat transfer in double tube heat exchanger has enhanced. The inner tube of the setup was made with corrugation on both inner and outer walls by twisting the pipe from one end, which gives the more swirling motion to the fluid particles flowing over it. The flow inside the pipe was considered as turbulent, and the analysis was done experimentally and theoretically by using the ANSYS workbench. The experimental results were compared with the experimental values taken in the setup done by considering the inner tube as normal pipe. In both heat exchangers the values were taken and compared with the theoretical analysis. Temperature distribution and heat transfer rate were calculated and the details of the study have been discussed in this paper.
Comparison of Shell and Tube Heat Exchanger using Theoretical Methods, HTRI, ...IJERA Editor
The aim of this article is to compare the design of Shell and Tube Heat Exchanger with baffles. Baffles used in
shell and tube heat exchanger improve heat transfer and also result in increased pressure drop. Shell and tube
heat exchanger with single segmental baffles was designed with same input parameters using 1) Kern’s
theoretical method; 2) ASPEN simulation software and 3) HTRI simulation software 4) SOLIDWORKS
simulation software. Shell side pressure drop and heat transfer coefficient are predicted. The results of all the
three methods indicated the results in a close range. The proven theoretical methods are in good agreement with
the simulation results
Experimental study on heat transfer and friction factor characteristics in la...eSAT Publishing House
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
CFD Analysis of Concentric Tube Heat Exchanger Using Twisted TapesIJARIIT
In this paper, the three dimensional CFD modeling studies on heat transfer, friction factor and thermal performance
of concentric tube heat exchanger using twisted tapes (Plain, V-cut, , Jagged V-cut) with different twist ratios (y=2.0, 4.0) are
used. Twisted tapes are used to augment the heat transfer by creating turbulence in the fluid flow. Various methods are applied
to increase thermal performance of heat transfer devices such as treated surfaces, rough surfaces, swirling flow devices, coiled
tubes, and surface tension devices. Out of these twisted tape method is used to increase the thermal performance. Twisted tape
inserts on effectiveness of heat exchanger has analyzed for different Reynolds Number. The maximum thermal performance
factor was obtained by the Jagged V-cut twisted tape (H=50) insert compare to other twisted tapes. Simultaneously the friction
factor has been analyzed
International Journal of Engineering Research and Applications (IJERA) aims to cover the latest outstanding developments in the field of all Engineering Technologies & science.
International Journal of Engineering Research and Applications (IJERA) is a team of researchers not publication services or private publications running the journals for monetary benefits, we are association of scientists and academia who focus only on supporting authors who want to publish their work. The articles published in our journal can be accessed online, all the articles will be archived for real time access.
Our journal system primarily aims to bring out the research talent and the works done by sciaentists, academia, engineers, practitioners, scholars, post graduate students of engineering and science. This journal aims to cover the scientific research in a broader sense and not publishing a niche area of research facilitating researchers from various verticals to publish their papers. It is also aimed to provide a platform for the researchers to publish in a shorter of time, enabling them to continue further All articles published are freely available to scientific researchers in the Government agencies,educators and the general public. We are taking serious efforts to promote our journal across the globe in various ways, we are sure that our journal will act as a scientific platform for all researchers to publish their works online.
A Review on Comparison between Shell And Tube Heat Exchanger And Helical Coil...ijiert bestjournal
The curved shape of the tube causes the flowing fluid to experience centrifugal force. The
extent of centrifugal force experienced depends on the local axial velocity of the fluid particle
and radius of curvature of the coil. The fluid particles flowing at the core of the pipe have
higher velocities than those flowing near to the pipe wall. Thus the fluid particles flowing
close to the tube wall experience a lower centrifugal force than the fluid particles flowing in
the tube core. This causes the fluid from the core region to be pushed towards the outer wall.
This stream bifurcates at the wall and drives the fluid towards the inner wall along the tube
periphery, causing generation of counter-rotating vortices called secondary flows which
produce additional transport of the fluid over the cross section of the pipe. This additional
convective transport increases heat transfer and the pressure drop when compared to that in a
straight tube.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
EXPERIMENTAL STUDY ON THE ANALYSIS OF HEAT ENHANCEMENT IN CORRUGATED TWISTED ...P singh
In heat exchanger, the enthalpy is transferred between two or more fluids, at different temperatures. The major challenge in designing a heat exchanger is to make the equipment more compact and achieve a high heat transfer rate using minimum pumping power. In recent years, the high cost of energy and material has resulted in an increased effort aimed at producing more efficient heat exchange equipment. Furthermore, as a heat exchanger becomes older, the resistance to heat transfer increases owing to fouling or scaling. The heat transfer rate can be improved by introducing a disturbance in the fluid flow thereby breaking the viscous and thermal boundary layer. However, in the process pumping power may increase significantly and ultimately the pumping cost becomes high. Therefore, to achieve a desired heat transfer rate in an existing heat exchanger at an economic pumping power, several techniques have been proposed in recent years and are discussed under the classification section.
In this work, a study of transient heat transfer in double tube heat exchanger has enhanced. The inner tube of the setup was made with corrugation on both inner and outer walls by twisting the pipe from one end, which gives the more swirling motion to the fluid particles flowing over it. The flow inside the pipe was considered as turbulent, and the analysis was done experimentally and theoretically by using the ANSYS workbench. The experimental results were compared with the experimental values taken in the setup done by considering the inner tube as normal pipe. In both heat exchangers the values were taken and compared with the theoretical analysis. Temperature distribution and heat transfer rate were calculated and the details of the study have been discussed in this paper.
Comparison of Shell and Tube Heat Exchanger using Theoretical Methods, HTRI, ...IJERA Editor
The aim of this article is to compare the design of Shell and Tube Heat Exchanger with baffles. Baffles used in
shell and tube heat exchanger improve heat transfer and also result in increased pressure drop. Shell and tube
heat exchanger with single segmental baffles was designed with same input parameters using 1) Kern’s
theoretical method; 2) ASPEN simulation software and 3) HTRI simulation software 4) SOLIDWORKS
simulation software. Shell side pressure drop and heat transfer coefficient are predicted. The results of all the
three methods indicated the results in a close range. The proven theoretical methods are in good agreement with
the simulation results
Experimental study on heat transfer and friction factor characteristics in la...eSAT Publishing House
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
CFD Analysis of Concentric Tube Heat Exchanger Using Twisted TapesIJARIIT
In this paper, the three dimensional CFD modeling studies on heat transfer, friction factor and thermal performance
of concentric tube heat exchanger using twisted tapes (Plain, V-cut, , Jagged V-cut) with different twist ratios (y=2.0, 4.0) are
used. Twisted tapes are used to augment the heat transfer by creating turbulence in the fluid flow. Various methods are applied
to increase thermal performance of heat transfer devices such as treated surfaces, rough surfaces, swirling flow devices, coiled
tubes, and surface tension devices. Out of these twisted tape method is used to increase the thermal performance. Twisted tape
inserts on effectiveness of heat exchanger has analyzed for different Reynolds Number. The maximum thermal performance
factor was obtained by the Jagged V-cut twisted tape (H=50) insert compare to other twisted tapes. Simultaneously the friction
factor has been analyzed
International Journal of Engineering Research and Applications (IJERA) aims to cover the latest outstanding developments in the field of all Engineering Technologies & science.
International Journal of Engineering Research and Applications (IJERA) is a team of researchers not publication services or private publications running the journals for monetary benefits, we are association of scientists and academia who focus only on supporting authors who want to publish their work. The articles published in our journal can be accessed online, all the articles will be archived for real time access.
Our journal system primarily aims to bring out the research talent and the works done by sciaentists, academia, engineers, practitioners, scholars, post graduate students of engineering and science. This journal aims to cover the scientific research in a broader sense and not publishing a niche area of research facilitating researchers from various verticals to publish their papers. It is also aimed to provide a platform for the researchers to publish in a shorter of time, enabling them to continue further All articles published are freely available to scientific researchers in the Government agencies,educators and the general public. We are taking serious efforts to promote our journal across the globe in various ways, we are sure that our journal will act as a scientific platform for all researchers to publish their works online.
Heat exchangers are used widely in industrial application such as chemical,
food processing, power production, refrigeration and air-conditioning
industries. Helical coiled heat exchangers are used in order to obtain a large
heat transfer per unit volume and to enhance the heat transfer rate on the inside
surface. In the present study, CFD simulations are carried out for a counter
flow tube in tube helical heat exchanger where hot water flows through the
inner tube and cold water flows through the outer tube. From the simulation
results heat transfer coefficient, pressure drop and nusselt number are
calculated. The heat transfer characteristics of the same are compared with that
of a counter flow tube in tube straight tube heat exchanger of same length
under same temperature and flow conditions. CFD simulation results showed
that the helical tube in tube heat exchanger is more effective than the straight
tube in tube heat exchanger.
Experimental Study of Heat Transfer Enhancement of Pipe-inPipe Helical Coil H...iosrjce
Heat transfer enhancement in pipe in pipe helical coils has been research by many researchers.
While the many literatures available on heat transfer characteristics of helical coil heat exchangers. There is
very few published on validate experimental results through Computational Fluid Dynamics. This paper focuses
on experimental investigation of fluid-to-fluid heat transfer enhancement of pipe-in-pipe helical coil tubes. The
methodology of experimental analysis of a helical tubes heat exchanger, the effect of the inside tubes at constant
value of mass flow rate in Dean Number and also established the surface heat transfer coefficient. Heat transfer
characteristics inside pipe-in-pipe helical coils for various boundary conditions, that the specification of a
constant temperature at hot water inlet, constant mass flow rate. Hence, the pipe-in-pipe heat exchanger is
considering different mass flow rate inside and annulus. The fabrication of experimental setup is estimate the
heat transfer enhancement in inside helical coil tubes
Numerical Analysis of Heat Transfer Enhancement in Pipe-inPipe Helical Coiled...iosrjce
These paper focuses on the effect of the inside tubes at constant value of mass flow rate and variation
of annulus mass flow rate on effect of Dean Number and overall heat transfer coefficient with constant wall
temperature, CFD analysis of a helically coiled heat exchanger. Also deals with the effect of Dean Number with
respect to Reynolds Number and Nusselt Number and Overall Heat Transfer coefficient on change of coil
configuration of helically coiled tube. The particular difference in this study in comparison with the other
similar studies was the boundary conditions for the helical coils. The results indicate that with the decrease the
inner coil diameter, the overall heat transfer coefficient is increased
Shell & tube heat exchanger single fluid flow heat transferVikram Sharma
This article was produced to highlight the fundamentals of single-phase heat exchanger rating using Kern's method. The content is strictly academic with no reference to industrial best practices.
Effect of Wavy (Corrugated) Twisted Tape Inserts on Heat Transfer in a double...ijiert bestjournal
In the present work heat transfer and friction factor properties we re experimentally investigated by using copper wavy (corrugated) twisted tape inserts. The turbulent flow w as created by inserting the wavy twisted tape inserts into the inner tube of heat exchanger creating high rate of t urbulence in pipe,which results in increasing heat transfer enhancement and pressure drop. The tape consists of the cor rugations and the twisting with various twist ratios (TR=10.7,8.5,7.1). The length and width of insert was 1 meter an d 14 mm respectively. The outer tube of heat exchanger is made up of mild steel with outside diameter .0198 m & .0142 m inside diameter and the inner tube is made up of copper with .038 m outside diameter and .032 m inside di ameter. The length of pipe in pipe heat exchanger is 1.4 m. The bulk mean temperatures at various posit ions are used for different flow rate of water. From the obtained results the new Correlations for Nusselt number and friction factor are developed for twisted tape inserts. The Reynolds number is varied from 5000 to 17000. The results of varying twists in wavy twisted tape inserts with different pitches have been compared with the val ues for the smooth tube. It showed that the highest heat transfer rate was achieved for the wavy twis ted tape with twist ration 7.1. The Nusselt number value increased by 172 % and friction factor value increased by 32.11% as compared to the sm ooth tube values.
Experimental Investigation on Heat Transfer Enhancement in Laminar Flow in Ci...IDES Editor
An experimental investigation of heat transfer and
friction factor of a smooth tube fitted with full length twisted
tape inserts for laminar flow have been studied under uniform
wall heat flux condition. The experiments has been carried
out to study the tape fin effect by using full length tape inserts
of different materials namely Aluminum, Stainless steel and
insulated tape. The tapes have twist ratios from 5.2 to 3.4. It is
found that, for the flow in smooth tubes, full length twisted
tapes yield improvement in average Nusselt number, for
Reynolds number range of 200 to 2000.For Aluminum tapes,
the maximum improvement in Nusselt number range from
50% to 100%; for Stainless steel tapes, maximum
improvement in Nusselt number range from 40% to 94% and
for insulated tapes, maximum improvement in Nusselt
number range from 40% to 67%. The isothermal friction factor
for the flow with the twisted tape inserts are 340% to 750 %
higher as compared with those of smooth tube flow, in the
given range of twist ratios.
This design project aims to propose a plate type heat exchanger that can meet given heat duty and find the number of plates required. Plate type heat exchanger uses metal plates to transfer heat between two fluids. Starting point of this design is to define given properties
Comparative Study and Analysis between Helical Coil and Straight Tube Heat Ex...IJERA Editor
The purpose of this study is to determine the relative advantage of using a helically coiled heat exchanger against a straight tube heat exchanger. It is found that the heat transfer in helical circular tubes is higher as compared to Straight tube due to their shape. Helical coils offer advantageous over straight tubes due to their compactness and increased heat transfer coefficient. The increased heat transfer coefficients are a consequence of the curvature of the coil, which induces centrifugal forces to act on the moving fluid, resulting in the development of secondary flow. The curvature of the coil governs the centrifugal force while the pitch (or helix angle) influences the torsion to which the fluid is subjected to the centrifugal force results in the development of secondary flow. Due to the curvature effect, the fluid streams in the outer side of the pipe moves faster than the fluid streams in the inner side of the pipe. In current work the fluid to fluid heat exchange is taken into consideration. Most of the investigations on heat transfer coefficients are for constant wall temperature or constant heat flux. The effectiveness, overall heat transfer coefficient, effect of cold water flow rate on effectiveness of heat exchanger when hot water mass flow rate is kept constant and effect of hot water flow rate on effectiveness when cold water flow rate kept constant studied and compared for parallel flow, counter flow arrangement of Helical coil and Straight tube heat exchangers. All readings were taken at steady state condition of heat exchanger. The result shows that the heat transfer coefficient is affected by the geometry of the heat exchanger. Helical coil heat exchanger are superior in all aspect studied here.
Effect of Hand Transmitted Vibration through Tractor during Ploughing FieldIJERA Editor
In this study, transmission of vibration from the steering wheel of the tractor without any trailer attached with it is discussed. The vibration measurements were carried out on the tractor randomly.An investigation was conducted to determine the transmission of vibration from the steering wheel of the hand tractor to the wrist and upper arm of the operator under actual field conditions during ploughing field. The vibration level on the steering wheel was measured and analyzed and the frequency spectra for the chosen working conditions were obtained. The results indicate that the maximum transmissibility was observed in the first two frequency interval (in Hz) i.e. 1-20 and 20-40, which may harm the operator. The frequency interval was 1-20 (target-wrist), 1-20 (target-upper arm), 20-40 (base-steering), 20-40 (base-steering) and frequency zone was 0.022, 0.3974, 0.2066 and 0.1531 respectively.
Un workshop per imparare a guardare, a comporre una fotografia e gestire lo sguardo di chi osserva le nostre fotografie con l'obiettivo di produrre immagini "significative" perché vedere non è guardare e mostrare è qualcosa di diverso ancora, ovvero:
• guardare v. tr. e intr. [dal germ. wardōn] (come intr., aus. avere). –
1. Dirigere gli occhi, fissare lo sguardo su qualche oggetto (non include necessariamente l’idea del vedere, in quanto si può guardare senza vedere, così come si può vedere qualche cosa senza rivolgervi intenzionalmente o coscientemente lo sguardo…
• vedére v. tr. [lat. vĭdēre]
… indicando, oltre la sensazione visiva, anche l’intenzione, la volontà di avere tale sensazione (con sign. analogo a guardare)…
… Con riferimento a scritti, esaminare, leggere…
…avere discernimento, capire
• mostrare v. tr. [lat. monstrare, der. di monstrum: v. mostro2] (io móstro, ecc.). –
1. a. Far vedere, presentare ad altri perché veda, esamini, osservi…
A Wind driven PV- FC Hybrid System and its Power Management Strategies in a GridIJERA Editor
This paper shows the work done on the method to operate a Wind driven grid connected hybrid system which is composed of a Photovoltaic (PV) array and a Proton exchange membrane fuel cell . A wind system provides with an opportunity to harness the abundantly available renewable resource. With the proton exchange membrane the hybrid system output power becomes controllable. Here the system uses two operation modes, the unit-power control (UPC) mode and the feeder-flow control (FFC) mode. This papers discusses the coordination of two control modes, the coordination of the PV array and the proton exchange membrane fuel cell in hybrid system and the way in which the reference parameters are determined.
FPGA based Real-time Automatic Number Plate Recognition System for Modern Lic...IJERA Editor
This paper proposes a real-time number plate recognition technique which involves localizing the number plate from a rear view image of a vehicle, processing it using image processing and image enhancement techniques to segment and extract the characters in the number plate which are in turn matched against a set of stored templates for an accurate character recognition process. The entire system is developed on a FPGA to achieve real-time processing.
Heat exchangers are used widely in industrial application such as chemical,
food processing, power production, refrigeration and air-conditioning
industries. Helical coiled heat exchangers are used in order to obtain a large
heat transfer per unit volume and to enhance the heat transfer rate on the inside
surface. In the present study, CFD simulations are carried out for a counter
flow tube in tube helical heat exchanger where hot water flows through the
inner tube and cold water flows through the outer tube. From the simulation
results heat transfer coefficient, pressure drop and nusselt number are
calculated. The heat transfer characteristics of the same are compared with that
of a counter flow tube in tube straight tube heat exchanger of same length
under same temperature and flow conditions. CFD simulation results showed
that the helical tube in tube heat exchanger is more effective than the straight
tube in tube heat exchanger.
Experimental Study of Heat Transfer Enhancement of Pipe-inPipe Helical Coil H...iosrjce
Heat transfer enhancement in pipe in pipe helical coils has been research by many researchers.
While the many literatures available on heat transfer characteristics of helical coil heat exchangers. There is
very few published on validate experimental results through Computational Fluid Dynamics. This paper focuses
on experimental investigation of fluid-to-fluid heat transfer enhancement of pipe-in-pipe helical coil tubes. The
methodology of experimental analysis of a helical tubes heat exchanger, the effect of the inside tubes at constant
value of mass flow rate in Dean Number and also established the surface heat transfer coefficient. Heat transfer
characteristics inside pipe-in-pipe helical coils for various boundary conditions, that the specification of a
constant temperature at hot water inlet, constant mass flow rate. Hence, the pipe-in-pipe heat exchanger is
considering different mass flow rate inside and annulus. The fabrication of experimental setup is estimate the
heat transfer enhancement in inside helical coil tubes
Numerical Analysis of Heat Transfer Enhancement in Pipe-inPipe Helical Coiled...iosrjce
These paper focuses on the effect of the inside tubes at constant value of mass flow rate and variation
of annulus mass flow rate on effect of Dean Number and overall heat transfer coefficient with constant wall
temperature, CFD analysis of a helically coiled heat exchanger. Also deals with the effect of Dean Number with
respect to Reynolds Number and Nusselt Number and Overall Heat Transfer coefficient on change of coil
configuration of helically coiled tube. The particular difference in this study in comparison with the other
similar studies was the boundary conditions for the helical coils. The results indicate that with the decrease the
inner coil diameter, the overall heat transfer coefficient is increased
Shell & tube heat exchanger single fluid flow heat transferVikram Sharma
This article was produced to highlight the fundamentals of single-phase heat exchanger rating using Kern's method. The content is strictly academic with no reference to industrial best practices.
Effect of Wavy (Corrugated) Twisted Tape Inserts on Heat Transfer in a double...ijiert bestjournal
In the present work heat transfer and friction factor properties we re experimentally investigated by using copper wavy (corrugated) twisted tape inserts. The turbulent flow w as created by inserting the wavy twisted tape inserts into the inner tube of heat exchanger creating high rate of t urbulence in pipe,which results in increasing heat transfer enhancement and pressure drop. The tape consists of the cor rugations and the twisting with various twist ratios (TR=10.7,8.5,7.1). The length and width of insert was 1 meter an d 14 mm respectively. The outer tube of heat exchanger is made up of mild steel with outside diameter .0198 m & .0142 m inside diameter and the inner tube is made up of copper with .038 m outside diameter and .032 m inside di ameter. The length of pipe in pipe heat exchanger is 1.4 m. The bulk mean temperatures at various posit ions are used for different flow rate of water. From the obtained results the new Correlations for Nusselt number and friction factor are developed for twisted tape inserts. The Reynolds number is varied from 5000 to 17000. The results of varying twists in wavy twisted tape inserts with different pitches have been compared with the val ues for the smooth tube. It showed that the highest heat transfer rate was achieved for the wavy twis ted tape with twist ration 7.1. The Nusselt number value increased by 172 % and friction factor value increased by 32.11% as compared to the sm ooth tube values.
Experimental Investigation on Heat Transfer Enhancement in Laminar Flow in Ci...IDES Editor
An experimental investigation of heat transfer and
friction factor of a smooth tube fitted with full length twisted
tape inserts for laminar flow have been studied under uniform
wall heat flux condition. The experiments has been carried
out to study the tape fin effect by using full length tape inserts
of different materials namely Aluminum, Stainless steel and
insulated tape. The tapes have twist ratios from 5.2 to 3.4. It is
found that, for the flow in smooth tubes, full length twisted
tapes yield improvement in average Nusselt number, for
Reynolds number range of 200 to 2000.For Aluminum tapes,
the maximum improvement in Nusselt number range from
50% to 100%; for Stainless steel tapes, maximum
improvement in Nusselt number range from 40% to 94% and
for insulated tapes, maximum improvement in Nusselt
number range from 40% to 67%. The isothermal friction factor
for the flow with the twisted tape inserts are 340% to 750 %
higher as compared with those of smooth tube flow, in the
given range of twist ratios.
This design project aims to propose a plate type heat exchanger that can meet given heat duty and find the number of plates required. Plate type heat exchanger uses metal plates to transfer heat between two fluids. Starting point of this design is to define given properties
Comparative Study and Analysis between Helical Coil and Straight Tube Heat Ex...IJERA Editor
The purpose of this study is to determine the relative advantage of using a helically coiled heat exchanger against a straight tube heat exchanger. It is found that the heat transfer in helical circular tubes is higher as compared to Straight tube due to their shape. Helical coils offer advantageous over straight tubes due to their compactness and increased heat transfer coefficient. The increased heat transfer coefficients are a consequence of the curvature of the coil, which induces centrifugal forces to act on the moving fluid, resulting in the development of secondary flow. The curvature of the coil governs the centrifugal force while the pitch (or helix angle) influences the torsion to which the fluid is subjected to the centrifugal force results in the development of secondary flow. Due to the curvature effect, the fluid streams in the outer side of the pipe moves faster than the fluid streams in the inner side of the pipe. In current work the fluid to fluid heat exchange is taken into consideration. Most of the investigations on heat transfer coefficients are for constant wall temperature or constant heat flux. The effectiveness, overall heat transfer coefficient, effect of cold water flow rate on effectiveness of heat exchanger when hot water mass flow rate is kept constant and effect of hot water flow rate on effectiveness when cold water flow rate kept constant studied and compared for parallel flow, counter flow arrangement of Helical coil and Straight tube heat exchangers. All readings were taken at steady state condition of heat exchanger. The result shows that the heat transfer coefficient is affected by the geometry of the heat exchanger. Helical coil heat exchanger are superior in all aspect studied here.
Effect of Hand Transmitted Vibration through Tractor during Ploughing FieldIJERA Editor
In this study, transmission of vibration from the steering wheel of the tractor without any trailer attached with it is discussed. The vibration measurements were carried out on the tractor randomly.An investigation was conducted to determine the transmission of vibration from the steering wheel of the hand tractor to the wrist and upper arm of the operator under actual field conditions during ploughing field. The vibration level on the steering wheel was measured and analyzed and the frequency spectra for the chosen working conditions were obtained. The results indicate that the maximum transmissibility was observed in the first two frequency interval (in Hz) i.e. 1-20 and 20-40, which may harm the operator. The frequency interval was 1-20 (target-wrist), 1-20 (target-upper arm), 20-40 (base-steering), 20-40 (base-steering) and frequency zone was 0.022, 0.3974, 0.2066 and 0.1531 respectively.
Un workshop per imparare a guardare, a comporre una fotografia e gestire lo sguardo di chi osserva le nostre fotografie con l'obiettivo di produrre immagini "significative" perché vedere non è guardare e mostrare è qualcosa di diverso ancora, ovvero:
• guardare v. tr. e intr. [dal germ. wardōn] (come intr., aus. avere). –
1. Dirigere gli occhi, fissare lo sguardo su qualche oggetto (non include necessariamente l’idea del vedere, in quanto si può guardare senza vedere, così come si può vedere qualche cosa senza rivolgervi intenzionalmente o coscientemente lo sguardo…
• vedére v. tr. [lat. vĭdēre]
… indicando, oltre la sensazione visiva, anche l’intenzione, la volontà di avere tale sensazione (con sign. analogo a guardare)…
… Con riferimento a scritti, esaminare, leggere…
…avere discernimento, capire
• mostrare v. tr. [lat. monstrare, der. di monstrum: v. mostro2] (io móstro, ecc.). –
1. a. Far vedere, presentare ad altri perché veda, esamini, osservi…
A Wind driven PV- FC Hybrid System and its Power Management Strategies in a GridIJERA Editor
This paper shows the work done on the method to operate a Wind driven grid connected hybrid system which is composed of a Photovoltaic (PV) array and a Proton exchange membrane fuel cell . A wind system provides with an opportunity to harness the abundantly available renewable resource. With the proton exchange membrane the hybrid system output power becomes controllable. Here the system uses two operation modes, the unit-power control (UPC) mode and the feeder-flow control (FFC) mode. This papers discusses the coordination of two control modes, the coordination of the PV array and the proton exchange membrane fuel cell in hybrid system and the way in which the reference parameters are determined.
FPGA based Real-time Automatic Number Plate Recognition System for Modern Lic...IJERA Editor
This paper proposes a real-time number plate recognition technique which involves localizing the number plate from a rear view image of a vehicle, processing it using image processing and image enhancement techniques to segment and extract the characters in the number plate which are in turn matched against a set of stored templates for an accurate character recognition process. The entire system is developed on a FPGA to achieve real-time processing.
Survival function Of Realization process for Hemodynamic and hormonal effects...IJERA Editor
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The heat exchanger is a device used to transfer heat from hot fluid to cold fluid. The current research reviews existing work conducted in improving performance of heat exchanger by varying geometric profile, baffling space, baffling inclination and use of helical inserts. The existing researches were conducted using both experimental and numerical techniques. The effect of operational parameters on performance of heat exchanger is also presented. Deepak Bhoi | Sudhir Singh Rajput "Study on Effect of Twisted Tape Insert Geometry in Heat Exchanger" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-2 , February 2022, URL: https://www.ijtsrd.com/papers/ijtsrd49163.pdf Paper URL: https://www.ijtsrd.com/engineering/mechanical-engineering/49163/study-on-effect-of-twisted-tape-insert-geometry-in-heat-exchanger/deepak-bhoi
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Shell and Tube heat exchangers are having special importance in boilers, oil coolers, condensers, pre-heaters. Shell and Tube heat exchanger is one such heat exchanger, provides more area for heat transfer between two fluids in comparison with other type of heat exchanger. To intensify heat transfer with minimum pumping power innovative heat transfer fluids called Nano fluids have become the major area of research now a days. The primary aim is to evaluate the effect of different weight concentration and temperatures on convective heat transfer. Increasing the weight concentration and temperatures leads to enhancement of convective heat transfer coefficient. In the present, work attempts are made to enhance the heat transfer rate in shell and tube heat exchangers. A multi pass shell and tube heat exchanger with 3 tubes with fins modelling is done using ANSYS. Nanofluid such as Al2O3-H2O is used. The CFD simulated results achieved from the use of the creating fin in tube side in shell and tube type heat exchanger are compared with without fin. Based on the results, providing fins on tube causes the increment of overall heat transfer coefficient which results in the enhancement of heat transfer rate of heat exchanger. Sudhanshu Pathak | H. S. Sahu"CFD Analysis of Heat Transfer Enhancement in Shell and Tube Type Heat Exchanger creating Triangular Fin on the Tubes" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-4 , June 2018, URL: http://www.ijtsrd.com/papers/ijtsrd14259.pdf http://www.ijtsrd.com/engineering/mechanical-engineering/14259/cfd-analysis-of-heat-transfer-enhancement-in-shell-and-tube-type-heat-exchanger-creating-triangular-fin-on-the-tubes/sudhanshu-pathak
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Heat Transfer Enhancement of Shell and Tube Heat Exchanger Using Conical Tapes.
1. Dhanraj S.Pimple et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 2014, pp.06-11
www.ijera.com 6 | P a g e
Heat Transfer Enhancement of Shell and Tube Heat Exchanger
Using Conical Tapes.
Dhanraj S.Pimple1
,Shreeshail.B.H2
, Amar Kulkarni3,
1,2&3
Asst.Prof in Saint John college of engg, Palghar
Abstract:
This paper provides heat transfer and friction factor data for single -phase flow in a shell and tube heat
exchanger fitted with a helical tape insert. In the double concentric tube heat exchanger, hot air was passed
through the inner tube while the cold water was flowed through the annulus. The influences of the helical insert
on heat transfer rate and friction factor were studied for counter flow, and Nusselt numbers and friction factor
obtained were compared with previous data (Dittus 1930, Petukhov 1970, Moody 1944) for axial flows in the
plain tube. The flow considered is in a low Reynolds number range between 2300 and 8800. A maximum
percentage gain of 165% in heat transfer rate is obtained for using the helical insert in comparison with the plain
tube.
Keywords: enhancement heat transfer, swirlflow devices, a helical tape insert
I. Introduction
In the past decade, heat transfer enhancement
technology has been developed and widely applied to
heat exchanger applications; for example,
refrigeration, automotive, process industry, solar
water heater, etc. The aim of augmentative heat
transfer is to accommodate high heat fluxes (or heat
transfer coefficient). Up to the present there has been
a great attempt to reduce the sizes and cost of the heat
exchanger, and energy consumption. The most
significant variable in reducing the size and the cost
of the heat exchanger, which generally leads to less
capital cost and another advantage, is reduction of the
temperature driving force, which increases the second
law efficiency and decreases the entropy generation.
Thus, this captivates the interests of the number of
researchers. The great attempt on utilizing different
methods is to increase the heat transfer rate through
the compulsory force convection. Meanwhile, it is
found that this way can reduce the sizes of the heat
exchanger device and save up the energy. In general,
enhancing the heat transfer can be divided into two
groups: One is the passive method; it is the way
without being stimulated by the external power such
as surface coatings, rough surfaces, extended
surfaces, the swirl flow devices, the convoluted
(twisted) tube, additives for liquid and gases. The
other is the active method. This way requires the
extra external power sources, for example mechanical
aids, surface-fluid vibration, the injection and the
suction of the fluid, the jet impingement, and the
electrostatic fields.
The swirl flow devices can be classified into two
kinds: the first is the continuous swirl flow and the
other is the decaying swirl flow. For the continuous
swirl flow, the swirling motion persists over the
whole length of the tube for example twisted tape
inserts [1,2], coiled wires inserted along the whole
tube [3] and helical grooves in the inner surface of
tube generate, while in the decaying swirl flow, the
swirl is generated at the entrance of the tube and
decays along the flow path for example the radial
guide vane swirl generator and the tangential flow
injection device [4,5,6,7,8]. For the decaying swirl
flow, the heat transfer coefficient and pressure drop
decrease with the axial distance, while for the
continuous swirl flow, the heat transfer coefficient
and pressure drop keep constant. In this reports, the
experiments were set to study the effect of swirling
flow or rotation flow on the improvement in
performance
II. Conical-Tape
It is well known that energy transport is
considerably improved if the flow is stirred and
mixed well. This has been the underlying principle in
the development of enhancement techniques that
generate swirl flows. Among the techniques that
promote secondary flows, twisted-tape inserts are
perhaps the most convenient and effective .They are
relatively easy to fabricate and fit in the tubes of
shell-and-tube or tube-fin type heat exchangers. A
typical usage in the multi-tube bundle of a shell-and-
tube heat exchanger. The geometrical features of a
conical tape, as depicted in Fig, are described by its
180º cone pitch H, the diameterd. In most usage, the
helical twisting nature of the tape, besides providing
the fluid a longer flow path or a greater residence
time, imposes a helical force on the bulk flow that
promotes the generation of secondary circulation.
RESEARCH ARTICLE OPEN ACCESS
2. Dhanraj S.Pimple et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 2014, pp.06-11
www.ijera.com 7 | P a g e
The consequent well-mixed helical swirl flow
significantly enhances the convective heat transfer.
Research Methodology
The research methodology involves the
prediction of flow and heat transfer behaviors, the
available flow procedures for swirling flows and
boundary layer are employed to solve the heat
transfer calculations.
FIGURE 1: The inner tube fitted with the full-length
helical tape.
The major assumptions are:
The flow through the twisted tape is
Turbulent and incompressible;
The flow is in steady state;
The convection is forced;
The properties of the fluid are temperature
independent;
Newton’s convective law is applicable.
Features of conical tapes
Conical tape tube inserts causes swirl flow or
secondary flow in the fluid. Among the swirl flow
devices, conical- tape inserts had been very popular
owing to their better thermal hydraulic performance
in single phase, boiling and condensation forced
convection, as well as design and application issues.
Fig shows a typical configuration of conical tape
which is used.
Conical tape inserts increases the heat transfer
coefficients with relatively s increase in the pressure
drop.
cost of the equipment. It can increase the heat duties
of the existing shell and tube heat exchangers. This
also leads to increase in the pressure drop and in
some cases causes’ significant secondary flow.
Secondary flow creates swirl and the mixing of the
fluid elements and hence enhances the temperature
gradient, which ultimately leads to a high heat
transfer coefficient.
EXPERIMENTAL SETUP OF SHELL AND
TUBE HEAT EXCHANGER
figure : schematic diagram of shell and tube heat
exchanger
Construction of shell and tube heat exchanger
The principal components of an STHE are:
Shell: Shell diameter should be selected in such a
way to give a close fit of the tube bundle. In this
setup the shell diameter is usually taken as 0.2m
and is made of Stainless steel.
Tubes : Tube OD of ¾ and 1‟‟ are very common
to design a compact heat exchanger. With
increase in number of tubes, the heat transfer
coefficient is increased. Stainless steel is
commonly used tube materials.
Tube pitch: Tube pitch is the shortest Centre to
Centre distance between the adjacent tubes. The
tubes is generally triangular patterns (pitch).
Tube passes: The number of passes is chosen to
get the required tube side fluid velocity to obtain
greater heat transfer co-efficient and in this setup
2 passes is chosen.
Rotameter: In this setup two rotameter are used.
One is for measuring mass flow rate on shell side
and another for tube side. The readings will
appear in digital form.
Pumps: Two pumps are used of half HP pump.
Heater: heater is provided on one side of tank, to
heat water. The hot water is supplied to shell or
tube depending upon requirement.
Heat Exchanger data at the shell side
3. Dhanraj S.Pimple et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 2014, pp.06-11
www.ijera.com 8 | P a g e
Sl.
No
Quantity Symbol Value
1 Shell side fluid Water
2 Shell side Mass flow
rate(kg/sec)
Mt 0.060
3 Shell ID(m) Ds 0.2
4 Shell length(m) Ls 0.800
5 Tube pitch(m) Pt 0.03
6 No. of passes N 1
7 Baffle spacing(m) Lb 0.2
8 Mean Bulk
Temperature(o
C)
∆T
9 No. of baffles N 4
Heat Exchanger data at the tube side
Sl.
No
Quantity Symbol Value
1 Tube side fluid Water or
nana fluid
2 Tube side Mass
flow rate
(Kg/sec)
Mt 0.060
3 Tube OD (m) Do 0.019
4 Tube ID(m) Di 0.016
5 Tube
thickness(m)
Tp 0.0162
6 Number of
Tubes
N 18
7 Tube length(m) Lt 0.825
Fluid Properties of water
Sl.
no
Property Unit Cold
water
shell
side
Hot
water
tube
side
1 Specific Heat
(Cp)
KJ/kg.
K
4.187 4.187
2 Thermal
conductivity
(k)
W/m.
K
0.00098 0.00098
3 Density (ƍ) kg/m.
s
1000 1000
4 Viscosity
(Ω)
kg/m3
0.00088 0.00086
CALCULATIONS PROCEDURE
AND CALCULATION
Shell and tube heat exchanger is designed by
trial and error calculations. The procedure for
calculating the shell-side heat-transfer coefficient and
pressure drop for a single shell pass exchanger is
given below The main steps of design following the
Kern method are summarized as follow
CALCULATION OF SHELL SIDE HEAT
TRANSFER COEFFICIENT
As ={(Pt – Do)*D*Lb} /Pt
= {(0.03-0.01924)*0.2*.2}/(0.03)
= 0.01435 m2
Gs= ms/ As
= 0.0267/0.01435
= 1.38 Kg/m2
sec
De = [4*{(Pt
2
*√3)/4} – {(π* Do
2
)/8}] / [(π*
Do)/2]
=[4{(0.032
*√3/4}{(π*0.019242
)/8]/[(π*0.09
24)/2]
= 0.03236
Res = (Gs* De) / μs
= (1.86/0.0325)/0.00088
= 50.946
Prs = (Cps*μs) / Ks
= (4.187*0.00088)/0.00098
= 3.76
hs = 0.36*( Ks / De)* (Re^0.55)*( Pr^0.33)*{ (μs/
μw)^0.14}
= 0.35*(0.000616/0.0325)*(68.690.55
)*(5.96 0.33
)*1
= 0.140 W/m2o
K
CALCULATION OF SHELL SIDE PRESSURE
DROP
Nb = {Ls/ (Lb + tb)} – 1
= {0.800/(0.2+0.00162)}-1
Nb+1= 3.96
f = exp {0.576 – (0.19*Ln Res)}
= exp {0.567-0(0.19*Ln*68.69)}
= 0.842
ΔPs = [f* Gs
2
* Ds*( Nb+1)] / [2* ρs* De*{(μs
/ μw)^0.14}]
4. Dhanraj S.Pimple et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 2014, pp.06-11
www.ijera.com 9 | P a g e
= [0.796*(1.862
)*0.2*3.96] /
[2*1000*0.0325*1]
= 0.01963 Pa
CALCULATION OF TUBE SIDE HEAT
TRANSFER COEFFICIENT
At = {(π* Di
2
) / 4}*(Nt / 2)
= {(π*0.0162
)/4}*(18/2)
= 0.00180 m2
Gt= mt/ At
= 0.0221/0.00180
= 8.44 Kg/m sec
Ut = Gt/ ρt
= 12.27/1000
= 0.008444 m/sec
Res = (Gt* Di) / μt
= (12.27*0.016)/0.00086
=155.53
Prt = (Cpt*μt) / Kt
= (4.187*0.00088)/0.00098
= 3.674
f = {(1.58*Ln Ret) – 3.28} ^ (-2)
= {(1.58*Ln 223.090-3.28}^(-2)
= 0.04538
Nut = {(f /2)*(Ret-1000)* Prt} / {1+
(12.7*√ (f /2)*(Prt^ (2/3))-1)}
={(0.0360/2)*(223.09
1000)*5.98]/{1+(12.7*√(0.0360/2)*(5.982/3
- 1)}
=-24.26
CALCULATION OF TUBE SIDE PRESSURE
DROP
ΔPt = [{(4* f* Lt* np) / Di} + (4* np)]
=[{(4*0.036*0.825*2)/0.016}+(4*2)]*[(100
0*0.01222
)/2]
= 0.951 Pa
RESULTS
GRAPHS
1) Reynolds number(tube side) vs overall heat
transfer co efficient
2)Reynolds number(shell side) vs overall
0
50
100
150
0.15 0.167 0.184 0.204 0.236
Sl.
No
Temperature o
C
T1 (Tho) T2 (Thi) T3 (Tco) T4 (Tci)
1 40.3 43.8 30.5 29.4
2 40 44.4 30.6 29.5
3 40.1 45.3 30.7 29.6
4 41.9 46.1 30.7 29.9
5 42.5 46.4 30.8 30
Shell side Tube side
S
l.
n
o
Res Prs ho dPs Ret Prt Hi dP
t
1 50.97 3.76 0.146 0.02 157.1
6
3.67 -
1.3
2
0.
94
8
2 64.09
9
3.76 0.166 0.03 198.4
5
3.67 -
1.1
3
1.
36
5
3 73.88
1
3.76 0.179 0.03
8
253.2
3
3.67 -
0.9
6
2.
02
1
4 89.06
0
3.76 0.199 0.05
4
319.3
8
3.67 -
0.8
0
2.
96
6
5 102.4
55
3.76 0.214 0.06
9
388.6
3
3.67 -
0.6
7
4.
13
2
5. Dhanraj S.Pimple et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 2014, pp.06-11
www.ijera.com 10 | P a g e
heat transfer co efficient
3) Reynolds number(tube side) vs mass flow rate of
tube side
4)Reynolds number(shell side) vs mass flow rate of
shell side
5)pressure drop on shell side vs Reynolds
number(shell side)
6) pressure drop on tube side vs Reynolds
number(tube side)
CONCLUSION
The heat transfer enhancement increases due to
increased turbulence of water. It is due to the swirl
flow motion provided by conical tapes tapes. The
friction factor increases with the decrease of conical
ratio again due to swirl flow exerted by the conical
tape.
The enhancement of Nusselt number is much higher
than that of enhancement in friction factor for the
same ratio that justifies the usage of conical tape. The
performance of conventional shell and tube heat
exchanger can be improved by the use of conical
tape.
NOMENCLATURE
As = Area of the shell side cross flow section At =
Area of the tube side cross flow section Pt= Tube
pitch (m).
Do = Tube outside diameter (m).
Di = Tube inside diameter (m).
Gs =Shell side mass velocity (kg/ m2
-s).
Gt = Tube side mass velocity (kg/ m2
-s).
Us = Shell side linear velocity (m/s).
Ut= Tube side linear velocity (m/s).
ms= Mass flow rate of the fluid on shell side
mt= Mass flow rate of the fluid on tube side
ρs = Shell side fluid density (kg/m3
).
ρt = Tube side fluid density (kg/m3
).
De= Shell side equivalent diameter (m)
Res= Shell side Reynolds number.
Ret = Tube side Reynolds number.
Prs = Shell side Prandtl number.
Prt = Tube side Prandtl number
0
0.05
0.1
0.15
0.2
0.25
0 50 100 150
0
100
200
300
400
500
19.1 24.9 26.7 33.7 39.6
Ret
Ft
0
0.05
0.1
0.15
0.2
0.25
0
0.05
0.1
0.15
0.2
0.25
dPs
Res
0
0.05
0.1
0.15
0.2
0.25
dPt
Ret
6. Dhanraj S.Pimple et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 12( Part 3), December 2014, pp.06-11
www.ijera.com 11 | P a g e
μs = Shell side fluid Viscosity (N-s/ m2
).
μt= Tube side fluid viscosity (N-s/ m2
).
μw= Viscosity a wall temperature (N-s/ m2
).
Cps= Shell side fluid heat capacity (kJ/kg’K).
Cpt= Tube side fluid heat capacity (kJ/kg’K).
Ks = Shell side fluid thermal conductivity
Kt= Tube side fluid thermal conductivity
hs = Shell side heat transfer coefficient
hi = Tube side heat transfer coefficient .
f = Friction factor.
ΔPs= Shell side pressure drop (Pa).
ΔPt =Tube side pressure drop (Pa).
np = Number of tube passes.
REFERENCES:
[1.] R.M. Manglik and A.E. Bergles, Heat
Transfer and Pressure Drop Correlations for
Twisted-Tape Inserts in isothermal Tubes:
Part II-Transition and Turbulent Flows, in:
Enhanced Heat Transfer, M.B.Pate and
M.K.Jensen, eds., ASMEHTD, 202, 99-106
(1992)
[2.] R.L. Webb, Principles of Enhanced
HeatTransfer, Wiley, New York, (1994)
[3.] R. Sethumadhavan and M.R. Rao, Turbulent
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Helical-Wire-Coil-Inserted Tubes, Int.J.Heat
Mass Transfer, 26, 12, 1833-1845 (1983)
[4] M. Yilmaz, O. Comakli and S. Yapici,
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40, 1365-1376 (1999)
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Using Staged Tangential Flow Injection,
Annual Report, June 1987-Sept. 1988, GRI
report No.GRI-89/020 (1989)
[6] V.K. Dhir, F. Chang and J. Yu, Enhancement
of Single Phase Forced Convection Heat
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Flow Injection, Final Report, June 1987-
Dec.1989, GRI reportNo. GRI-90/0134
(1990)
[7] V.K. Dhir and F. Chang, Heat Transfer
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ASHRAE Transactions, 98, BA-92-4-1(1992)
[8] D. Son, and V.K. Dhir, Enhancement of Heat
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Flow Injection, in: Heat Transfer in Turbulent
Flows, ASME HTD-Vol. 246, (1993)
[9] F.W. Dittus and L.M.K. Boelter, University
of California at Berkley, Publications on
Engineering, 2: 443 (1930).
[10] B. S. Petukhov, Irvine in T. F. and Hartnett J.
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Moody, Trans. 1944. ASME, 66. 671.