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Journal for Research | Volume 03| Issue 01 | March 2017
ISSN: 2395-7549
All rights reserved by www.journal4research.org 36
Experimentation on Copper Tube with Internal
Threading for a Heat Exchanger Performance
Enhancement
Kundan Gunwant More Amol Kailas Koli
UG Student UG Student
Department of Mechanical Engineering Department of Mechanical Engineering
G.H.R.I.EM.,Jalgaon, India G.H.R.I.EM.,Jalgaon, India
Asst. Prof. Amol Vikas Joshi
Assistant Professor
Department of Mechanical Engineering
G.H.R.I.EM.,Jalgaon, India
Abstract
Experimental model has been carried out to study the effect of heat transfer, thermal enhancement factor and friction factor in a
smooth copper tube and different test copper tube having internal threads of pitch ( p=3.5mm), with water as a working fluid media.
For such experimentation purpose Reynolds number were varied in the range of 4000 to 8000. The copper tube (OD=38mm,
ID=25mm, t=6.5mm) was subjected to constant and uniform heat flux. The experimental data obtained from test tube having
different surface geometry i.e. by internal threading of different pitch (p=3.5mm) were compared with smooth circular copper tube.
The effect of different surface geometry of inside copper tube i.e. by threading with varying pitch on thermal enhancement factor,
heat transfer and friction factor were presented. In that experimental we also calculate Nusselt number, Prandtl number, pitch like
heat transfer parameter. The heat transfer rate for copper tubes having internal threads was found to be much higher than smooth
circular copper tube for a given value Reynolds number. So simply by changing the internal surface geometry the performance of
circular section copper tube is improved.
Keywords: Augmentation Technique of Heat Transfer, Passive Heat Transfer, Copper Tube, Internal Threaded Copper
Tube, Reynolds Number, Nusselt Number
_______________________________________________________________________________________________________
I. INTRODUCTION
There are number of techniques are available to heat transfer, such as fins, dimples, additives, extended supports, etc. A great focus
of all research effort has been developing models and performing experiments to define the different conditions under which an
enhancement technique will improve heat transfer. Heat transfer enhancement technology has been widely applied to heat
exchanger applications in refrigeration, radiator of automobile, process industries, space research, etc. The main goal of enhanced
heat transfer is to encourage or accommodate high heat fluxes in the experimental model. This result in reduction of heat exchanger
size, which generally resulting to lower capital cost of apparatus. So there is need to increase the thermal performance of heat
exchangers, thereby effecting energy, material quality and cost savings have led to development & use of many techniques termed
as Heat transfer Augmentation. These techniques are also called as Intensification or Heat Transfer Enhancement Technique.
Augmentation techniques are main focus to increase convective heat transfer by reducing the thermal resistance in any of heat
exchanger like devices. Use of Heat transfer augmentation techniques increase in heat transfer coefficient but at the penalty of
problem of increase in pressure drop condition. So, while designing any of heat exchanger using any of these methods is
incorporated the resulting analysis of heat transfer rate and pressure drop has to be done. Apart from this, issues like long-life
performance and detailed economic of heat exchanger has to be studied. To achieve maximum high heat transfer rate in an existing
or new heat exchanger while taking care of the increased pumping power, several methods have been proposed in early few years.
Augmentation techniques are main focus to increase convective heat transfer by reducing the thermal resistance in any of heat
exchanger like devices. Use of Heat transfer augmentation techniques increase in heat transfer coefficient but at the penalty of
problem of increase in pressure drop condition. So, while designing any of heat exchanger using any of these methods is
incorporated the resulting analysis of heat transfer rate and pressure drop has to be done. Apart from this, issues like long-life
performance and detailed economic of heat exchanger has to be studied. To achieve maximum high heat transfer rate in an existing
or new heat exchanger while taking care of the increased pumping power, several methods have been proposed in early few years.
Generally, heat transfer augmentation techniques are classified in three main categories and they are as follows: 1) Active
method, 2) Passive method, 3) Compound method.
Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement
(J4R/ Volume 03 / Issue 01 / 008)
All rights reserved by www.journal4research.org 37
In active method of augmentation of heat transfer some external power input are required for the enhancement of heat transfer
rate for example surface vibration, fluid vibration, suction or injection etc. whereas in passive method generally uses surface or
geometrical modifications to the flow channel by incorporating inserts or some additional devices for example inserts extra
components, provide rough surfaces, additives for fluids, etc. The passive methods are based on this principle, by employing
number of techniques to generate the swirl in the bulk of the fluids and disturb the actual boundary layer so as to increase effective
surface area of heat transfer, residence time and heat transfer coefficient is exist in existing system. Lastly compound method is a
combination of both the active and passive methods; the compound method involves combine design and has limited applications.
II. LITERATURE REVIEW
Number of experiments has been carried out by using various inserts spring and tube geometries for heat transfer augmentation.
The experimentations of various researchers and their findings are described as follows.
Shrirao et al. [1] experimentally carried out heat transfer analysis in a circular copper tube with different types of internal threads
of constant pitch; experimental results showed that heat transfer along with the friction factor is increases more in case of tube
having buttress threads compared to knuckle and acme threads in a copper tube. Eiamsa-ard et al. [2] experimentally investigated
the heat transfer characteristics in a tube fitted with helical screw-tape with/without smooth core tube inserts. It was observed that
the heat transfer rate obtained by using the tape without core-tube is found to be better than that by one with core-tube around 20–
55% while the friction is around 50% lower. Naphon et al. [3] the swirl flow is generated as fluid flowing through the plain copper
tube with twisted wires brush insert. Due to the presence of swirl flow, the convective heat transfer obtained from the plain copper
tube with twisted wires brush insert is higher than that with the plain tube without twisted wires brush insert.
Pal et al. [4] the major findings of this experimental investigation are that the twisted-tape with oblique teeth inserts in
combination with combine spiral corrugation roughness perform significantly better than the individual enhancement technique
acting alone for laminar flow through a circular duct up to a certain value of fin parameter. Guo et al. [5] experimental results show
that the Nusselt number for the case with conical-strip insert is only 52–56% of that for the case with conical-ring insert, the friction
factor for the former is merely 4–6% of that for the latter, and thus the thermo-hydraulic performance can be enhanced by 36–61%
if replacing conical ring inserts with conical-strip inserts.
III. SYSTEM DEVELOPMENT
In order to reduce the size and cost of the Heat exchanger devices, there is need of augmenting heat transfer; this heat transfer is
directly proportional to heat transfer coefficient, surface area, and temperature difference. To reduce the size, heat transfer
coefficient should increase. So this heat transfer coefficient on depend on several factors like use of rough surfaces, mixing of
surfaces and central fluid by incorporating the obstacles along the flow path of fluid, use of additives for fluid etc. It also seen that
as per the available literature, the augmentation of heat transfer simply using different surface texture is limited. So the work was
carryout to study and analyze the various factors, such that this technique can be easily employed in an existing heat exchanger.
Parameter Selection
The selections of appropriate parameter were essential for design of heat exchanger device. The parameter in design point of view
of heat exchanging device were selected.
 Heat transfer coefficient. (i.e. Nusselt number)
 Friction factor.
 Mass flow rate.
 Heat input.
 Inlet temperature of fluid.
 Working fluid.
 Internal surface geometry of tube.
Set-Up Description
The schematic of experimental set-up is shown in Figure 3.2.1.1, Test section consist of copper tube (I.D.=25mm, O.D.=38mm,
t=6.5mm) of length 800mm. Six k type thermocouples were soldered at six equally spaced point which were separated by
134mmdistance and two thermocouples were placed at inlet and outlet stream to measure stream inlet and outlet temperature.
These copper tubes were wrapped by mica heaters of 1500Watts capacity in order to maintain constant heat flux. The mica heaters
wrapped on test section were surrounded by glass wool insulation and after that steel cover was placed. The required heat input
was given through Dimmer-stat.
A U-tube manometer was used to measure the pressure drop across the tube; water was used as a manometric fluid. The distance
between two pressure tapping was 900-1000mm.Same procedure was repeated for two test section having internal threading of
pitch (p=1.78mm, p=3.57mm).A British Standard Whitworth (B.S.W) thread was used for threading throughout the copper tube
having length L=800mm. The experimental set-up mainly consists of;
 Inlet section,
Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement
(J4R/ Volume 03 / Issue 01 / 008)
All rights reserved by www.journal4research.org 38
 Test section,
 Outlet section,
 Control panel,
 U-tube manometer.
Fig. 1: Experimental Set-up
Fig. 2: Internal Threaded Copper Tube
IV. STATISTICAL MODEL
Introduction to Least Square Method
 A line of fit is a straight line that is the best approximation of the given set of data. It is used to study the nature of the relation
between two variables.
 A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the
number of points above the line and below the line is about equal (and the line passes through as many points possible).
 A more accurate way of finding the line of best fit is the least square method.
 Use the following steps to find the equation of line of best fit for a set of ordered pairs.
1) Step 1: Calculate the mean of x-values and mean of y-values.
2) Step 2: Compute the sum of the square of the x-values.
3) Step 3: Compute the sum of each x-value multiplied by its corresponding y-value.
4) Step 4: Calculate the slope of the line using the formula
m =
∑ XY −
∑ X ∑ Y
n
∑ x2 −
(∑ X)2
n
Where, n is the total number of data points.
5) Step 5: Compute the y-intercept of the line by using the formula
𝑏 = 𝑦̅ − 𝑚𝑥̅
Where, x and y are the mean of the x-coordinate and y-coordinate of the data points respectively.
6) Step 6: Use the slope and the y-intercept to form the equation of the line.
Smooth Tube
Table - 1
Smooth Tube
Re Nuexp Re.Nuexp Re2
4000 28.35 113400 16×106
5000 30.96 154800 25×106
6000 37.23 223380 36×106
7000 48.19 337330 49×106
Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement
(J4R/ Volume 03 / Issue 01 / 008)
All rights reserved by www.journal4research.org 39
8000 53.29 426320 64×106
9000 60.99 548910 81×106
𝜀Re = 39×103
𝜀Nuexp = 259.01 𝜀Re.Nuexp = 1804.14×103
𝜀Re2
= 271×106
Threaded Tube having Pitch (p=3.57mm)
Table - 2
Threaded tube having pitch (p=3.57mm)
Re Nuexp Re.Nuexp Re2
4000 90.46 364640 16×106
5000 122.34 550250 25×106
6000 135.45 797460 36×106
7000 150.74 1062180 49×106
8000 175.48 1387840 64×106
9000 190.54 1754550 81×106
𝜀Re = 39×103
𝜀Nuexp = 865.01 𝜀Re.Nuexp= 5916.82×103
𝜀Re2
= 271×106
V. PERFORMANCE ANALYSIS
After development of system, procedure and parameter are selected, the experimental data was collected which is given in
appendix. To analyses the performance of given system, experimentation was carried out taking water as a working fluid.
Experimental Analysis
This chapter presents the results obtained from experimental data which are thoroughly discussed in subsequent section. The main
objective was to carry out experimentation on heat transfer augmentation technique in tube having different surface texture and
compare it with smooth tube using water as a working fluid.
1) To find out experimental value of heat transfer coefficient for different values of Reynold number.
2) To find out experimental value of friction factor, thermal enhancement factor for different values of Reynold number.
3) To compare experimental and theoretical values of heat transfer coefficient, friction factor, thermal enhancement factor for
smooth tube.
4) To perform Regression analysis on experimental data.
Experimental Procedure
Inlet section of set up is connected to the gate valve of water tank which takes water and pumped through test section. The flow
rate of water is controlled by gate valve and was measured manually using stop watch and beaker. The flow rate varied using gate
valve for different values of Reynold number and kept constant during experimentation. After switching on the heater power the
sufficient time was given to attain the steady state condition. In each run data were taken for water flow rate, water inlet, outlet
and tube outer surface temperature and pressure drop readings
1) Open the supply valve and adjust the flow by means of gate valve and to some desired difference in the manometer level.
2) Start the heating of test section with the help of dimmer-stat and adjust desired heat input with the help of voltmeter and
ammeter.
3) Take readings of thermocouples at an interval of 10 minutes, until steady state is reached.
4) Wait for steady state and take reading of all thermocouples at steady state.
5) Note down heater input.
6) Above Same procedure was repeated for remaining two test section having internal threads of pitch (p=3.57mm).
Performance parameter with Reynold number
Nusselt number with Reynold number
A graph is plotted between Nusselt number and Reynold number to study the variation of Nusselt number with Reynold number.
Figure shows the comparison between Nusselt number obtained experimentally, and theoretically by using Genielinski 1976,
correlation for smooth tube. It was observed that the value of Nu (Experimental) is less than that of Nu (Theoretical). As the heat
is transferred through convection mode, so while performing experimental and numerical calculations, it can be expected that Nu
(Experimental) is less than that of Nu (Theoretical).
Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement
(J4R/ Volume 03 / Issue 01 / 008)
All rights reserved by www.journal4research.org 40
Fig. 3: Comparison between Smooth & Internal Threaded Copper Tube
VI. CONCLUSIONS
1) The heat transfer rate increases in a test tube having internal threads as compared to smooth tube. The result shows that the
heat transfer rate increases with increasing in Reynold number.
2) The test tube having internal threads of pitch (p=3.57mm) causes the maximum heat transfer rate. This is due to the fact that
depth provided by test tube having internal threads of pitch (p=3.57mm) is more as compared smooth tube.
3) The friction factor increases for a test tube having internal threads of pitch (p=3.57mm)than smooth tube, due to more swirl
flow exerted by a test tube having internal threads of pitch (p=3.57mm).
4) As the pitch of internal threads increases it is found that there is increase in heat transfer rate but increase in friction factor is
observed. So it can be concluded that maximum the pitch of internal threads, maximum will be the heat transfer rate but more
friction losses will also be occurs.
5) The enhancement of Nusselt number is much higher than that of enhancement in friction factor for test tubes having internal
threads of pitch (p=3.57mm), that justify the usage of internal threads in a circular tube.
6) The performance of circular tube can be improved by the use of internal threads. The cost involved for making internal threads
is minimal compared to energy efficiency improvement provided by this technique.
REFERENCES
[1] Pankaj N. Shrirao, Rajeshkumar U. Sambhe , Pradip R. Bodade, “Convective heat transfer analysis in a circular tube with different types of internal threads
of constant pitch,” International Journal of Engineering and Advanced Technology, volume-2 (3), pp. 335-340, 2013.
[2] Smith Eiamsa-ard, PongjetPromvonge, “Heat transfer characteristics in a tube fitted with helical screw-tape with/without core-rod inserts,” International
Communications in Heat and Mass Transfer 34, pp. 176–185, 2007.
[3] Paisarn Naphon, Tanapon Suchana, “Heat transfer enhancement and pressure drop of the horizontal concentric tube with twisted wires brush inserts”,
International Communications in Heat and Mass Transfer, 38, 2011, pp. 236–241.
[4] Pranab Kumar Pal, Sujoy Kumar Saha, “Experimental investigation of laminar flow of viscous oil through a circular tube having integral spiral corrugation
roughness and fitted with twisted tapes with oblique teeth”, Experimental Thermal and Fluid Science, 57, 2014, pp. 301–309.
[5] Jian Guo, Yuexiang Yan,Wei Liu, Fangming Jiang, Aiwu Fan, “Effects of upwind area of tube inserts on heat transfer and flow resistance characteristics of
turbulent flow”, Experimental Thermal and Fluid Science, 48, 2013, pp. 147–155.

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EXPERIMENTATION ON COPPER TUBE WITH INTERNAL THREADING FOR A HEAT EXCHANGER PERFORMANCE ENHANCEMENT

  • 1. Journal for Research | Volume 03| Issue 01 | March 2017 ISSN: 2395-7549 All rights reserved by www.journal4research.org 36 Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement Kundan Gunwant More Amol Kailas Koli UG Student UG Student Department of Mechanical Engineering Department of Mechanical Engineering G.H.R.I.EM.,Jalgaon, India G.H.R.I.EM.,Jalgaon, India Asst. Prof. Amol Vikas Joshi Assistant Professor Department of Mechanical Engineering G.H.R.I.EM.,Jalgaon, India Abstract Experimental model has been carried out to study the effect of heat transfer, thermal enhancement factor and friction factor in a smooth copper tube and different test copper tube having internal threads of pitch ( p=3.5mm), with water as a working fluid media. For such experimentation purpose Reynolds number were varied in the range of 4000 to 8000. The copper tube (OD=38mm, ID=25mm, t=6.5mm) was subjected to constant and uniform heat flux. The experimental data obtained from test tube having different surface geometry i.e. by internal threading of different pitch (p=3.5mm) were compared with smooth circular copper tube. The effect of different surface geometry of inside copper tube i.e. by threading with varying pitch on thermal enhancement factor, heat transfer and friction factor were presented. In that experimental we also calculate Nusselt number, Prandtl number, pitch like heat transfer parameter. The heat transfer rate for copper tubes having internal threads was found to be much higher than smooth circular copper tube for a given value Reynolds number. So simply by changing the internal surface geometry the performance of circular section copper tube is improved. Keywords: Augmentation Technique of Heat Transfer, Passive Heat Transfer, Copper Tube, Internal Threaded Copper Tube, Reynolds Number, Nusselt Number _______________________________________________________________________________________________________ I. INTRODUCTION There are number of techniques are available to heat transfer, such as fins, dimples, additives, extended supports, etc. A great focus of all research effort has been developing models and performing experiments to define the different conditions under which an enhancement technique will improve heat transfer. Heat transfer enhancement technology has been widely applied to heat exchanger applications in refrigeration, radiator of automobile, process industries, space research, etc. The main goal of enhanced heat transfer is to encourage or accommodate high heat fluxes in the experimental model. This result in reduction of heat exchanger size, which generally resulting to lower capital cost of apparatus. So there is need to increase the thermal performance of heat exchangers, thereby effecting energy, material quality and cost savings have led to development & use of many techniques termed as Heat transfer Augmentation. These techniques are also called as Intensification or Heat Transfer Enhancement Technique. Augmentation techniques are main focus to increase convective heat transfer by reducing the thermal resistance in any of heat exchanger like devices. Use of Heat transfer augmentation techniques increase in heat transfer coefficient but at the penalty of problem of increase in pressure drop condition. So, while designing any of heat exchanger using any of these methods is incorporated the resulting analysis of heat transfer rate and pressure drop has to be done. Apart from this, issues like long-life performance and detailed economic of heat exchanger has to be studied. To achieve maximum high heat transfer rate in an existing or new heat exchanger while taking care of the increased pumping power, several methods have been proposed in early few years. Augmentation techniques are main focus to increase convective heat transfer by reducing the thermal resistance in any of heat exchanger like devices. Use of Heat transfer augmentation techniques increase in heat transfer coefficient but at the penalty of problem of increase in pressure drop condition. So, while designing any of heat exchanger using any of these methods is incorporated the resulting analysis of heat transfer rate and pressure drop has to be done. Apart from this, issues like long-life performance and detailed economic of heat exchanger has to be studied. To achieve maximum high heat transfer rate in an existing or new heat exchanger while taking care of the increased pumping power, several methods have been proposed in early few years. Generally, heat transfer augmentation techniques are classified in three main categories and they are as follows: 1) Active method, 2) Passive method, 3) Compound method.
  • 2. Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement (J4R/ Volume 03 / Issue 01 / 008) All rights reserved by www.journal4research.org 37 In active method of augmentation of heat transfer some external power input are required for the enhancement of heat transfer rate for example surface vibration, fluid vibration, suction or injection etc. whereas in passive method generally uses surface or geometrical modifications to the flow channel by incorporating inserts or some additional devices for example inserts extra components, provide rough surfaces, additives for fluids, etc. The passive methods are based on this principle, by employing number of techniques to generate the swirl in the bulk of the fluids and disturb the actual boundary layer so as to increase effective surface area of heat transfer, residence time and heat transfer coefficient is exist in existing system. Lastly compound method is a combination of both the active and passive methods; the compound method involves combine design and has limited applications. II. LITERATURE REVIEW Number of experiments has been carried out by using various inserts spring and tube geometries for heat transfer augmentation. The experimentations of various researchers and their findings are described as follows. Shrirao et al. [1] experimentally carried out heat transfer analysis in a circular copper tube with different types of internal threads of constant pitch; experimental results showed that heat transfer along with the friction factor is increases more in case of tube having buttress threads compared to knuckle and acme threads in a copper tube. Eiamsa-ard et al. [2] experimentally investigated the heat transfer characteristics in a tube fitted with helical screw-tape with/without smooth core tube inserts. It was observed that the heat transfer rate obtained by using the tape without core-tube is found to be better than that by one with core-tube around 20– 55% while the friction is around 50% lower. Naphon et al. [3] the swirl flow is generated as fluid flowing through the plain copper tube with twisted wires brush insert. Due to the presence of swirl flow, the convective heat transfer obtained from the plain copper tube with twisted wires brush insert is higher than that with the plain tube without twisted wires brush insert. Pal et al. [4] the major findings of this experimental investigation are that the twisted-tape with oblique teeth inserts in combination with combine spiral corrugation roughness perform significantly better than the individual enhancement technique acting alone for laminar flow through a circular duct up to a certain value of fin parameter. Guo et al. [5] experimental results show that the Nusselt number for the case with conical-strip insert is only 52–56% of that for the case with conical-ring insert, the friction factor for the former is merely 4–6% of that for the latter, and thus the thermo-hydraulic performance can be enhanced by 36–61% if replacing conical ring inserts with conical-strip inserts. III. SYSTEM DEVELOPMENT In order to reduce the size and cost of the Heat exchanger devices, there is need of augmenting heat transfer; this heat transfer is directly proportional to heat transfer coefficient, surface area, and temperature difference. To reduce the size, heat transfer coefficient should increase. So this heat transfer coefficient on depend on several factors like use of rough surfaces, mixing of surfaces and central fluid by incorporating the obstacles along the flow path of fluid, use of additives for fluid etc. It also seen that as per the available literature, the augmentation of heat transfer simply using different surface texture is limited. So the work was carryout to study and analyze the various factors, such that this technique can be easily employed in an existing heat exchanger. Parameter Selection The selections of appropriate parameter were essential for design of heat exchanger device. The parameter in design point of view of heat exchanging device were selected.  Heat transfer coefficient. (i.e. Nusselt number)  Friction factor.  Mass flow rate.  Heat input.  Inlet temperature of fluid.  Working fluid.  Internal surface geometry of tube. Set-Up Description The schematic of experimental set-up is shown in Figure 3.2.1.1, Test section consist of copper tube (I.D.=25mm, O.D.=38mm, t=6.5mm) of length 800mm. Six k type thermocouples were soldered at six equally spaced point which were separated by 134mmdistance and two thermocouples were placed at inlet and outlet stream to measure stream inlet and outlet temperature. These copper tubes were wrapped by mica heaters of 1500Watts capacity in order to maintain constant heat flux. The mica heaters wrapped on test section were surrounded by glass wool insulation and after that steel cover was placed. The required heat input was given through Dimmer-stat. A U-tube manometer was used to measure the pressure drop across the tube; water was used as a manometric fluid. The distance between two pressure tapping was 900-1000mm.Same procedure was repeated for two test section having internal threading of pitch (p=1.78mm, p=3.57mm).A British Standard Whitworth (B.S.W) thread was used for threading throughout the copper tube having length L=800mm. The experimental set-up mainly consists of;  Inlet section,
  • 3. Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement (J4R/ Volume 03 / Issue 01 / 008) All rights reserved by www.journal4research.org 38  Test section,  Outlet section,  Control panel,  U-tube manometer. Fig. 1: Experimental Set-up Fig. 2: Internal Threaded Copper Tube IV. STATISTICAL MODEL Introduction to Least Square Method  A line of fit is a straight line that is the best approximation of the given set of data. It is used to study the nature of the relation between two variables.  A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points possible).  A more accurate way of finding the line of best fit is the least square method.  Use the following steps to find the equation of line of best fit for a set of ordered pairs. 1) Step 1: Calculate the mean of x-values and mean of y-values. 2) Step 2: Compute the sum of the square of the x-values. 3) Step 3: Compute the sum of each x-value multiplied by its corresponding y-value. 4) Step 4: Calculate the slope of the line using the formula m = ∑ XY − ∑ X ∑ Y n ∑ x2 − (∑ X)2 n Where, n is the total number of data points. 5) Step 5: Compute the y-intercept of the line by using the formula 𝑏 = 𝑦̅ − 𝑚𝑥̅ Where, x and y are the mean of the x-coordinate and y-coordinate of the data points respectively. 6) Step 6: Use the slope and the y-intercept to form the equation of the line. Smooth Tube Table - 1 Smooth Tube Re Nuexp Re.Nuexp Re2 4000 28.35 113400 16×106 5000 30.96 154800 25×106 6000 37.23 223380 36×106 7000 48.19 337330 49×106
  • 4. Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement (J4R/ Volume 03 / Issue 01 / 008) All rights reserved by www.journal4research.org 39 8000 53.29 426320 64×106 9000 60.99 548910 81×106 𝜀Re = 39×103 𝜀Nuexp = 259.01 𝜀Re.Nuexp = 1804.14×103 𝜀Re2 = 271×106 Threaded Tube having Pitch (p=3.57mm) Table - 2 Threaded tube having pitch (p=3.57mm) Re Nuexp Re.Nuexp Re2 4000 90.46 364640 16×106 5000 122.34 550250 25×106 6000 135.45 797460 36×106 7000 150.74 1062180 49×106 8000 175.48 1387840 64×106 9000 190.54 1754550 81×106 𝜀Re = 39×103 𝜀Nuexp = 865.01 𝜀Re.Nuexp= 5916.82×103 𝜀Re2 = 271×106 V. PERFORMANCE ANALYSIS After development of system, procedure and parameter are selected, the experimental data was collected which is given in appendix. To analyses the performance of given system, experimentation was carried out taking water as a working fluid. Experimental Analysis This chapter presents the results obtained from experimental data which are thoroughly discussed in subsequent section. The main objective was to carry out experimentation on heat transfer augmentation technique in tube having different surface texture and compare it with smooth tube using water as a working fluid. 1) To find out experimental value of heat transfer coefficient for different values of Reynold number. 2) To find out experimental value of friction factor, thermal enhancement factor for different values of Reynold number. 3) To compare experimental and theoretical values of heat transfer coefficient, friction factor, thermal enhancement factor for smooth tube. 4) To perform Regression analysis on experimental data. Experimental Procedure Inlet section of set up is connected to the gate valve of water tank which takes water and pumped through test section. The flow rate of water is controlled by gate valve and was measured manually using stop watch and beaker. The flow rate varied using gate valve for different values of Reynold number and kept constant during experimentation. After switching on the heater power the sufficient time was given to attain the steady state condition. In each run data were taken for water flow rate, water inlet, outlet and tube outer surface temperature and pressure drop readings 1) Open the supply valve and adjust the flow by means of gate valve and to some desired difference in the manometer level. 2) Start the heating of test section with the help of dimmer-stat and adjust desired heat input with the help of voltmeter and ammeter. 3) Take readings of thermocouples at an interval of 10 minutes, until steady state is reached. 4) Wait for steady state and take reading of all thermocouples at steady state. 5) Note down heater input. 6) Above Same procedure was repeated for remaining two test section having internal threads of pitch (p=3.57mm). Performance parameter with Reynold number Nusselt number with Reynold number A graph is plotted between Nusselt number and Reynold number to study the variation of Nusselt number with Reynold number. Figure shows the comparison between Nusselt number obtained experimentally, and theoretically by using Genielinski 1976, correlation for smooth tube. It was observed that the value of Nu (Experimental) is less than that of Nu (Theoretical). As the heat is transferred through convection mode, so while performing experimental and numerical calculations, it can be expected that Nu (Experimental) is less than that of Nu (Theoretical).
  • 5. Experimentation on Copper Tube with Internal Threading for a Heat Exchanger Performance Enhancement (J4R/ Volume 03 / Issue 01 / 008) All rights reserved by www.journal4research.org 40 Fig. 3: Comparison between Smooth & Internal Threaded Copper Tube VI. CONCLUSIONS 1) The heat transfer rate increases in a test tube having internal threads as compared to smooth tube. The result shows that the heat transfer rate increases with increasing in Reynold number. 2) The test tube having internal threads of pitch (p=3.57mm) causes the maximum heat transfer rate. This is due to the fact that depth provided by test tube having internal threads of pitch (p=3.57mm) is more as compared smooth tube. 3) The friction factor increases for a test tube having internal threads of pitch (p=3.57mm)than smooth tube, due to more swirl flow exerted by a test tube having internal threads of pitch (p=3.57mm). 4) As the pitch of internal threads increases it is found that there is increase in heat transfer rate but increase in friction factor is observed. So it can be concluded that maximum the pitch of internal threads, maximum will be the heat transfer rate but more friction losses will also be occurs. 5) The enhancement of Nusselt number is much higher than that of enhancement in friction factor for test tubes having internal threads of pitch (p=3.57mm), that justify the usage of internal threads in a circular tube. 6) The performance of circular tube can be improved by the use of internal threads. The cost involved for making internal threads is minimal compared to energy efficiency improvement provided by this technique. REFERENCES [1] Pankaj N. Shrirao, Rajeshkumar U. Sambhe , Pradip R. Bodade, “Convective heat transfer analysis in a circular tube with different types of internal threads of constant pitch,” International Journal of Engineering and Advanced Technology, volume-2 (3), pp. 335-340, 2013. [2] Smith Eiamsa-ard, PongjetPromvonge, “Heat transfer characteristics in a tube fitted with helical screw-tape with/without core-rod inserts,” International Communications in Heat and Mass Transfer 34, pp. 176–185, 2007. [3] Paisarn Naphon, Tanapon Suchana, “Heat transfer enhancement and pressure drop of the horizontal concentric tube with twisted wires brush inserts”, International Communications in Heat and Mass Transfer, 38, 2011, pp. 236–241. [4] Pranab Kumar Pal, Sujoy Kumar Saha, “Experimental investigation of laminar flow of viscous oil through a circular tube having integral spiral corrugation roughness and fitted with twisted tapes with oblique teeth”, Experimental Thermal and Fluid Science, 57, 2014, pp. 301–309. [5] Jian Guo, Yuexiang Yan,Wei Liu, Fangming Jiang, Aiwu Fan, “Effects of upwind area of tube inserts on heat transfer and flow resistance characteristics of turbulent flow”, Experimental Thermal and Fluid Science, 48, 2013, pp. 147–155.