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IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE)
e-ISSN: 2278-1684,p-ISSN: 2320-334X, Volume 12, Issue 4 Ver. I (Jul. - Aug. 2015), PP 53-58
www.iosrjournals.org
DOI: 10.9790/1684-12415358 www.iosrjournals.org 53 | Page
CFD Studies on Different Helical Rifled Boiler Tube
Prateek Negi, S Singh, Pankaj Kumar, Lokesh Chandra Joshi
Department Of Mechanical Engineering, BTKIT Dwarahat-263653
Almora, Uttarakhand, India
Abstract: The heat transfer enhancement on different helical rifled tubes have been investigated using a
commercial CFD tool. Performance of geometry of the tube was studied by varying its influencing geometrical
parameter like height of rifling, length of pitch of rifling for a particular length. The effects of the different
geometry such as plane, circular, rectangular, and triangular geometry and heat transfer were determined for
flow through tube heat exchanger. The change in the geometrical shape gave substantial change in the heat
transfer rate. The result reveals the effect of geometrical shape on heat transfer rate. The results showed that
the heat transfer increased when compared with existing inner plane walled water tubes.
Keywords:Boiler tube, Heat transfer enhancement, helical rifled tube, CFD Analysis.
I. Introduction
The interest of more productive energy storage system in the previous couple of years increments
quickly, this thusly urge the researchers to deal with more effective energy system and augment the heat transfer
in heat exchangers. For improving heat transfer study figured out that, rifling or corrugation is discovered to be
an intense heat exchange upgrading instrument. Inactively improvement methods by utilizing the unique surface
geometries are utilized to upgrade the convection heat transfer. This issue is especially pivotal in applications in
which the heat transforming of liquids are needed, for example, in process plant and different industries where
the energy is obliged to exchange heat. Truth be told frequently in these conditions momentum transfer
mechanism is fundamentally laminar and in this manner the adequacy of the warmth move mechanical
assemblies in which the liquids are passed on is inescapably punished. In curved geometries thedistortion of the
velocity boundary layer and the onset of vortices produced by thecentrifugal forceshas a beneficial outcome on
the convective heat transfer mechanism [1]. This arrangement, which frequently creates helical sort stream,
seems exceptionally intriguing likewise in the conditions in which the stream holds on in the laminar regime [2].
The most vital impact in the corrugated tubes is rather identified with the perceptible blending of the liquid,
which actuated by the destabilization of the stream prompts the early onset of the transfer mechanism associated
with the transitional/turbulent regime [3-4]. Zarnett and Charles [5] researched the two-stage stream examples
and their works demonstrated that whirl stream was not acquired until a discriminating fluid shallow speed was
come to. Web, R.L. et. al. [6] had tentatively created warmth exchange relationship for turbulent stream in
repeated-rib roughness tube, the rib inside the repeated rib roughness tube was situated in transverse course with
the estimation of relative roughness ranging from 0.01 to 0.04 while relative rib spacing between 10-14. From
this trial, the friction data of the test had been very much connected utilizing law of the withwall similarity a
logarithmic velocity distribution. Then again, the heat momentum transfer analogywhich was in view of law of
thewall similarity, was discovered to be unrivaled in representing the impact of Prandtl number.
Han, J. C. et. al. [7] led test examination on rib-roughened surface to focus the impact of rib shape,
approach and pitch to heightproportion on friction factor and heat transfer. It is noticed that the friction factor is
decreases with approach diminishing or angle of attack. Further diminishing in approach, will bring about the
heat transfer and the friction approaching the smooth wall case. The thermal hydraulic performance of the tried
ribs was at ideal when angle of attack almost 450
.
Cheng, L. X. & Chen, T. K. [8] directed experimental work on flow boiling heat transferand two-phase
flow frictional pressure drop in a vertical rifled tube and smooth tube. It was discovered that the superheat wall
temperatures in the rifled tube are smaller than in the smooth tube under equivalent heat fluxes and equivalent
mass fluxes.
Lee, S. K. & Chang, S. H. [9] had studied experimentally the post dry-out with R-134a upward flow in
smooth tube and rifled tube. It is found out that the wall temperature of the rifled tube in the post-dry out region
were much lower than in the smooth tube. As a result, the thermal non-equilibrium in rifled tube was lowered
which due to the swirling flow was caused by the ribs in the rifled tube. The authors had also proposed heat
transfer correlation for rifled tube as a function of rib height and rib width.
CFD Studies On Different Helical Rifled Boiler Tube
DOI: 10.9790/1684-12415358 www.iosrjournals.org 54 | Page
Lee, S. K. & Chang, S. H. [9] had considered tentatively the post dry-out with R-134a upward stream
in smooth tube and rifled tube. It is figured out that the wall temperature of the rifled tube in the post-dry out
district were much lower than in the smooth tube. Subsequently, the thermal non-equilibrium in rifled tube was
lowered which due to the swirling flow was created by the ribs in the rifled tube. The authors had additionally
proposed heat transfer relationship for rifled tube as a function of rib height and rib width.
From the above literature, it is found that proper designs of the tube inner wall will increase the heat
transfer to the flowing water; consequently it is one of the primary components for its fruitful utilization. In
order to increase the heat transfer and prevent damage to the inner wall of tube, ribbed tubes are applied instead
of the smooth walled tubes and the computational examination done here takes less time when contrasted with
trial study was done above in literature.
II. Problem Setup And Modeling
In this 3 dimensional computational fluid dynamics study, four tubes of same diameter 5.08 cm is
considered and the analysis was done for a length of 150 cm. In this modeling one plane walled tube and three
tubes of helical rifling is provided with varying parameters like height of rifling, length of pitch of rifling.
Figure 1 shows the helical rifled tube geometry. The material of the tube is considered as steel. CFD modeling is
a useful method to explore the real phenomena which happens in places where the experimental investigations
are difficult or expensive therefore the use of the commercial CFD software to model the fluid flow inside the
rifled tube is very useful in this research as it will save time and cost in setting up an experiment.
Figure 1: Geometry (helical rifling)
A 3D tube geometry with smooth tube and helical rifling is considered. The cross section was made by
utilizing Ansys Fluent 14.5.The tube geometry subtle elements and working conditions are given beneath. Mesh
Generation plays an imperative part in acquiring precise results. Mesh was created consistently all through the
zone and analyzed by utilizing Ansys Fluent 14.5.
Length of Pitch: 25 cm
Height of rifling: 0.11cm
III. Equations
The governing equations are as follows:
3.1 Continuity equation
∂(ρu)
∂x
+
1
r
∂(ρrv)
∂r
= 0 (1)
3.2 Momentum equations
3.2.1 Axial component (z-component):
ρv
∂u
∂r
+ u
∂u
∂x
=
∂p
∂x
+
∂
∂x
μeff
∂u
∂x
+
1
r
∂
∂r
μeff
∂u
∂r
+
∂
∂x
μeff
∂u
∂x
+
1
r
∂
∂r
μeff
∂u
∂r
(2)
3.2.2 Radial component (r-component):
ρ v
∂v
∂r
+ u
∂v
∂x
= −
∂p
∂z
+
∂
∂x
μeff
∂v
∂x
+
1
r
∂
∂r
rμeff
∂r
∂r
+
∂
∂x
μeff
∂u
∂r
+
1
r
∂
∂r
rμeff
∂v
∂r
− 2μeff
v
r2 + ρ
w2
r
(3)
3.2.3 Tangential component (θ- component)
ρ v
∂∅
∂r
+ u
∂∅
∂x
=
∂
∂z
μeff
∂∅
∂x
+
1
r
∂
∂r
rμeff
∂∅
∂r
−
2
r
∂
∂r
μeff ∅ (4)
CFD Studies On Different Helical Rifled Boiler Tube
DOI: 10.9790/1684-12415358 www.iosrjournals.org 55 | Page
Hereu, v and w are the mean velocity components along z, r and θ directions respectively and the variable∅ = r
w.
The total effective viscosity of the flow is given by;
μeff = μl + μt (5)
Here 𝜇𝑙 and 𝜇𝑡 stands for molecular or laminar viscosity and eddy or turbulent viscosity respectively.
3.3 Kappa- Epsilon Model
3.3.1 K- Equation
𝜌 𝑢
𝜕𝑘
𝜕𝑥
+ 𝑣
𝜕𝑘
𝜕𝑟
=
𝜕
𝜕𝑥
𝜇𝑙 +
𝜇 𝑡
𝜎 𝑘
𝜕𝑘
𝜕𝑥
+
1
𝑟
𝜕
𝜕𝑟
𝑟(𝜇𝑙 +
𝜇 𝑡
𝜎 𝑘
)
𝜕𝑘
𝜕𝑟
+ 𝜌𝑔 − 𝜌𝜖 (6)
3.3.2𝜖- Equation
𝜌 𝑢
𝜕𝜖
𝜕𝑥
+ 𝑣
𝜕𝜀
𝜕𝑟
=
𝜕
𝜕𝑥
𝜇𝑙 +
𝜇 𝑡
𝜎 𝜀
𝜕𝜀
𝜕𝑥
+
1
𝑟
𝜕
𝜕𝑟
𝑟(𝜇𝑙 +
𝜇 𝑡
𝜎 𝜀
)
𝜕𝜀
𝜕𝑟
+ 𝐶𝑠1 𝐺
𝜀
𝑘
− 𝐶𝑠2
𝜖2
𝑘
(7)
Where G is the production term and is given by;
G = 𝜇𝑡[2
𝜕𝑣
𝜕𝑟
2
+
𝜕𝑢
𝜕𝑥
2
+
𝑣
𝑟
2
+
𝜕𝑢
𝜕𝑟
+
𝜕𝑣
𝜕𝑥
2
] (8)
The production term represents the transfer of kinetic energy from the mean flow to the turbulent motion
through the interaction between the turbulent fluctuations and the mean flow velocity gradients.
Here 𝐶𝑠1, 𝐶𝑠2, 𝜎𝑘 , 𝜎𝜀 are the empirical turbulent constant. The values are considered according to the Launder,
et. al. (1974).
IV. Simulation Of Thermal Flow
Computational Domain with Boundary Conditions
The flow and thermal variables are defined by the following boundary conditions:
Inlet watertemperature…………....300 K
Outlet wall temperature………..….1000 K
Mass flow rate………………..……0.034 Kg/sec
Operating pressure....................…...1 bar
The commercial CFD programming utilizes a control volume based method to change over the
representing mathematical statements which are comprehended numerically utilizing the implicit method. In the
segregated formulation the governing equations are solved successively, as it is isolated from each other.
The solution convergence is acquired by observing the continuity, momentum, energy, and turbulence
equations independently. A convergence criterion of 10-4 is utilized for mass conservation and 10-6 for energy
conservation. The temperature of the vent gas is 1000 K and warmth is exchanged to the water inside the tube.
The temperature of the water inside the tube comes to more or less 391 K in the smooth tube, 406 K, 410 K and
412 K in the rifled geometry having circular, rectangular and triangular geometry individually. The temperature
circulation in the boiler tube is influenced by numerous variables, for example, mass flow rate of steam, steam
temperature, feed water temperature and pressure. Consequently, impact of these variables is likewise
considered by running a predetermined number of simulations.
V. Results And Discussion
5.1 Effect of Rifled Geometry onHeat Transfer Enhancement inthe Tube
It has been observed that the total heat transfer rate, temperature and enthalpy at the outlet of the
channel is increased significantly by applying corrugated geometry inside the boiler tube. This is due to
increased roughness surface area for same mass flow inlet. Lower the low value of mass flow inlet higher will
be the surface area and tube get heated uniformly and in relatively shorter time as compare to high mass flow
inlet and smooth tube.
5.2 Temperature Distribution Due To Different Geometries ofthe Tube
At the point when liquid to be heated goes into the tube, because of convective heat transfer the liquid
inside the tube get warmed. Because of wall heat transfer coefficient and region item liquid get heated at first up
to a certain length and after quite a while liquid spans to a uniform temperature. When liquid gets changed over
into steam it is presently accessible to supply where required. Fig. 2 demonstrates the temperature circulation for
distinctive geometry of the tube. The mean temperature of the working liquid increments with the separation
from the passageway of course. Additionally expected, the increment is fast closer the wall due to high heat
transfer rates in this locale because of higher temperature contrasts between the wall surface and the liquid.
CFD Studies On Different Helical Rifled Boiler Tube
DOI: 10.9790/1684-12415358 www.iosrjournals.org 56 | Page
(a) Plane Walled Tube Geometry
(b) Circular (helical rifled) Tube Geometry
(c) Rectangular (helical rifled) Tube Geometry
CFD Studies On Different Helical Rifled Boiler Tube
DOI: 10.9790/1684-12415358 www.iosrjournals.org 57 | Page
(d) Triangular (helical rifled) Tube Geometry
Figure 2: Contours of Temperature for Different Geometry ofthe Tube
Figure 3: Temperature profile along axial distance for various geometry of the tube
A little increment in the heat transfer of the tube will improve the execution in its application, for
example, in boiler and roll out immense improvement in general execution of the boiler. From the Fig. 3 as
demonstrated below, it is been watched that the figure demonstrating temperature profile of smooth tube having
straightforward geometry is not proficient when contrasted with the chart of different figures having corrugated
geometry. Temperature of smooth tube geometry goes up to 391 K from starting temperature of 300 K while the
temperature of corrugated tube having circular, rectangular and triangular geometry goes up to 406 K, 410 K,
and 412 K individually.
The heat transfer enhancement impact in corrugated channel is basically because of instigated
turbulence which gives higher heat transfer rate. As indicated from the study, diverse geometries give distinctive
results for the same stream conditions (mass-flow rate). The decision of fitting geometry does not generally rely
on upon mass-flow rate values, but rather consistency and very nearly steady conduct through a low mass-flow
rate reach, assumes an essential part.
VI. Conclusion
The heat transfer in the tube has been broke down, and its reliance on geometry is accounted for in this
study. A little increment in the heat exchange of the tube will upgrade the execution in its application, for
example, in boiler and roll out tremendous improvement in general execution of the boiler. As indicated by the
study, the decision of suitable tube geometry relies on upon the application. The folded configuration is
demonstrated to give better convective properties (more or less 19% more convective transfer). The model was
made utilizing Solid Works 2012 and meshed with Fluent, and the flow analysis is finished with Ansys 14.5.
The outcomes demonstrating that the heat transfer is increased. The enthalpy and temperature increment with
flow is progressing when compare with normal plane walled boiler tube. So the execution of Optimized Helical
CFD Studies On Different Helical Rifled Boiler Tube
DOI: 10.9790/1684-12415358 www.iosrjournals.org 58 | Page
Ridging evaporator tube in the boiler is advisable. The study demonstrate that the change in furnace heat
transfer can be accomplished by changing the interior plane surface to a rifled tube.
References
[1]. P. Naphon, and S. Wongwises, A review of flow and heat transfer characteristics in curved tubes, Renewable Sustainable Energy
Review, 2006, 10 463-90.
[2]. S. Rainieri, F. Bozzoli, L. Schiavi, and G. Pagliarini, Numerical analysis of convective heat transfer enhancement in swirl tubes,
International Journal of Numerical Method for Heat, 21 (5), 2011, 559-71.
[3]. S. Rainieri and G. Pagliarini, Convective heat transfer to temperature dependent property fluids in the entry region of corrugated
tubes, International Journal of Heat and Mass Transfer, 45, 2002, 4525–36
[4]. S. Rainieri, A. Farina, and G. Pagliarini, Experimental investigation of heat transfer and pressure drop augmentation for laminar
flow in spirally enhanced tubes,Proc. 2nd European Thermal-Sciences and 14th UIT National Heat Transfer Conference, Rome,
1996 1 203–9.
[5]. G.D. Zarnett,&M.E. Charles, Concurrent gas-liquid flow in horizontal tubes with internal spiral ribs. The Canadian Journal of
Chemical Engineering, Vol. 47, 1969, pp. 238- 241.
[6]. R.L. Webb,&N.H. Kim,Principles of Enhanced Heat Transfer (Boca Raton: Taylor & Francis, 2005).
[7]. J.C. Han, An Investigation of Heat Transfer and Friction for Rib-Roughened Surfaces. International Journal of Heat and Mass
Transfer, Vol. 21, 1978, pp. 1143-1156.
[8]. L.X. Cheng, and T.K. Chen, Study of single phase flow heat transfer and friction pressure drop in a spiral internally ribbed tube.
Chemical Engineering Technology, Vol. 29, No.5, 2006, pp. 588-595.
[9]. S.K. Lee, Experimental Study of Post-Dry out with R-134a Upward Flow in Smooth Tube and Rifled Tubes,International Journal of
Heat and Mass Transfer, Vol. 51, 2008, pp. 3153-3163.

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I012415358

  • 1. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-ISSN: 2278-1684,p-ISSN: 2320-334X, Volume 12, Issue 4 Ver. I (Jul. - Aug. 2015), PP 53-58 www.iosrjournals.org DOI: 10.9790/1684-12415358 www.iosrjournals.org 53 | Page CFD Studies on Different Helical Rifled Boiler Tube Prateek Negi, S Singh, Pankaj Kumar, Lokesh Chandra Joshi Department Of Mechanical Engineering, BTKIT Dwarahat-263653 Almora, Uttarakhand, India Abstract: The heat transfer enhancement on different helical rifled tubes have been investigated using a commercial CFD tool. Performance of geometry of the tube was studied by varying its influencing geometrical parameter like height of rifling, length of pitch of rifling for a particular length. The effects of the different geometry such as plane, circular, rectangular, and triangular geometry and heat transfer were determined for flow through tube heat exchanger. The change in the geometrical shape gave substantial change in the heat transfer rate. The result reveals the effect of geometrical shape on heat transfer rate. The results showed that the heat transfer increased when compared with existing inner plane walled water tubes. Keywords:Boiler tube, Heat transfer enhancement, helical rifled tube, CFD Analysis. I. Introduction The interest of more productive energy storage system in the previous couple of years increments quickly, this thusly urge the researchers to deal with more effective energy system and augment the heat transfer in heat exchangers. For improving heat transfer study figured out that, rifling or corrugation is discovered to be an intense heat exchange upgrading instrument. Inactively improvement methods by utilizing the unique surface geometries are utilized to upgrade the convection heat transfer. This issue is especially pivotal in applications in which the heat transforming of liquids are needed, for example, in process plant and different industries where the energy is obliged to exchange heat. Truth be told frequently in these conditions momentum transfer mechanism is fundamentally laminar and in this manner the adequacy of the warmth move mechanical assemblies in which the liquids are passed on is inescapably punished. In curved geometries thedistortion of the velocity boundary layer and the onset of vortices produced by thecentrifugal forceshas a beneficial outcome on the convective heat transfer mechanism [1]. This arrangement, which frequently creates helical sort stream, seems exceptionally intriguing likewise in the conditions in which the stream holds on in the laminar regime [2]. The most vital impact in the corrugated tubes is rather identified with the perceptible blending of the liquid, which actuated by the destabilization of the stream prompts the early onset of the transfer mechanism associated with the transitional/turbulent regime [3-4]. Zarnett and Charles [5] researched the two-stage stream examples and their works demonstrated that whirl stream was not acquired until a discriminating fluid shallow speed was come to. Web, R.L. et. al. [6] had tentatively created warmth exchange relationship for turbulent stream in repeated-rib roughness tube, the rib inside the repeated rib roughness tube was situated in transverse course with the estimation of relative roughness ranging from 0.01 to 0.04 while relative rib spacing between 10-14. From this trial, the friction data of the test had been very much connected utilizing law of the withwall similarity a logarithmic velocity distribution. Then again, the heat momentum transfer analogywhich was in view of law of thewall similarity, was discovered to be unrivaled in representing the impact of Prandtl number. Han, J. C. et. al. [7] led test examination on rib-roughened surface to focus the impact of rib shape, approach and pitch to heightproportion on friction factor and heat transfer. It is noticed that the friction factor is decreases with approach diminishing or angle of attack. Further diminishing in approach, will bring about the heat transfer and the friction approaching the smooth wall case. The thermal hydraulic performance of the tried ribs was at ideal when angle of attack almost 450 . Cheng, L. X. & Chen, T. K. [8] directed experimental work on flow boiling heat transferand two-phase flow frictional pressure drop in a vertical rifled tube and smooth tube. It was discovered that the superheat wall temperatures in the rifled tube are smaller than in the smooth tube under equivalent heat fluxes and equivalent mass fluxes. Lee, S. K. & Chang, S. H. [9] had studied experimentally the post dry-out with R-134a upward flow in smooth tube and rifled tube. It is found out that the wall temperature of the rifled tube in the post-dry out region were much lower than in the smooth tube. As a result, the thermal non-equilibrium in rifled tube was lowered which due to the swirling flow was caused by the ribs in the rifled tube. The authors had also proposed heat transfer correlation for rifled tube as a function of rib height and rib width.
  • 2. CFD Studies On Different Helical Rifled Boiler Tube DOI: 10.9790/1684-12415358 www.iosrjournals.org 54 | Page Lee, S. K. & Chang, S. H. [9] had considered tentatively the post dry-out with R-134a upward stream in smooth tube and rifled tube. It is figured out that the wall temperature of the rifled tube in the post-dry out district were much lower than in the smooth tube. Subsequently, the thermal non-equilibrium in rifled tube was lowered which due to the swirling flow was created by the ribs in the rifled tube. The authors had additionally proposed heat transfer relationship for rifled tube as a function of rib height and rib width. From the above literature, it is found that proper designs of the tube inner wall will increase the heat transfer to the flowing water; consequently it is one of the primary components for its fruitful utilization. In order to increase the heat transfer and prevent damage to the inner wall of tube, ribbed tubes are applied instead of the smooth walled tubes and the computational examination done here takes less time when contrasted with trial study was done above in literature. II. Problem Setup And Modeling In this 3 dimensional computational fluid dynamics study, four tubes of same diameter 5.08 cm is considered and the analysis was done for a length of 150 cm. In this modeling one plane walled tube and three tubes of helical rifling is provided with varying parameters like height of rifling, length of pitch of rifling. Figure 1 shows the helical rifled tube geometry. The material of the tube is considered as steel. CFD modeling is a useful method to explore the real phenomena which happens in places where the experimental investigations are difficult or expensive therefore the use of the commercial CFD software to model the fluid flow inside the rifled tube is very useful in this research as it will save time and cost in setting up an experiment. Figure 1: Geometry (helical rifling) A 3D tube geometry with smooth tube and helical rifling is considered. The cross section was made by utilizing Ansys Fluent 14.5.The tube geometry subtle elements and working conditions are given beneath. Mesh Generation plays an imperative part in acquiring precise results. Mesh was created consistently all through the zone and analyzed by utilizing Ansys Fluent 14.5. Length of Pitch: 25 cm Height of rifling: 0.11cm III. Equations The governing equations are as follows: 3.1 Continuity equation ∂(ρu) ∂x + 1 r ∂(ρrv) ∂r = 0 (1) 3.2 Momentum equations 3.2.1 Axial component (z-component): ρv ∂u ∂r + u ∂u ∂x = ∂p ∂x + ∂ ∂x μeff ∂u ∂x + 1 r ∂ ∂r μeff ∂u ∂r + ∂ ∂x μeff ∂u ∂x + 1 r ∂ ∂r μeff ∂u ∂r (2) 3.2.2 Radial component (r-component): ρ v ∂v ∂r + u ∂v ∂x = − ∂p ∂z + ∂ ∂x μeff ∂v ∂x + 1 r ∂ ∂r rμeff ∂r ∂r + ∂ ∂x μeff ∂u ∂r + 1 r ∂ ∂r rμeff ∂v ∂r − 2μeff v r2 + ρ w2 r (3) 3.2.3 Tangential component (θ- component) ρ v ∂∅ ∂r + u ∂∅ ∂x = ∂ ∂z μeff ∂∅ ∂x + 1 r ∂ ∂r rμeff ∂∅ ∂r − 2 r ∂ ∂r μeff ∅ (4)
  • 3. CFD Studies On Different Helical Rifled Boiler Tube DOI: 10.9790/1684-12415358 www.iosrjournals.org 55 | Page Hereu, v and w are the mean velocity components along z, r and θ directions respectively and the variable∅ = r w. The total effective viscosity of the flow is given by; μeff = μl + μt (5) Here 𝜇𝑙 and 𝜇𝑡 stands for molecular or laminar viscosity and eddy or turbulent viscosity respectively. 3.3 Kappa- Epsilon Model 3.3.1 K- Equation 𝜌 𝑢 𝜕𝑘 𝜕𝑥 + 𝑣 𝜕𝑘 𝜕𝑟 = 𝜕 𝜕𝑥 𝜇𝑙 + 𝜇 𝑡 𝜎 𝑘 𝜕𝑘 𝜕𝑥 + 1 𝑟 𝜕 𝜕𝑟 𝑟(𝜇𝑙 + 𝜇 𝑡 𝜎 𝑘 ) 𝜕𝑘 𝜕𝑟 + 𝜌𝑔 − 𝜌𝜖 (6) 3.3.2𝜖- Equation 𝜌 𝑢 𝜕𝜖 𝜕𝑥 + 𝑣 𝜕𝜀 𝜕𝑟 = 𝜕 𝜕𝑥 𝜇𝑙 + 𝜇 𝑡 𝜎 𝜀 𝜕𝜀 𝜕𝑥 + 1 𝑟 𝜕 𝜕𝑟 𝑟(𝜇𝑙 + 𝜇 𝑡 𝜎 𝜀 ) 𝜕𝜀 𝜕𝑟 + 𝐶𝑠1 𝐺 𝜀 𝑘 − 𝐶𝑠2 𝜖2 𝑘 (7) Where G is the production term and is given by; G = 𝜇𝑡[2 𝜕𝑣 𝜕𝑟 2 + 𝜕𝑢 𝜕𝑥 2 + 𝑣 𝑟 2 + 𝜕𝑢 𝜕𝑟 + 𝜕𝑣 𝜕𝑥 2 ] (8) The production term represents the transfer of kinetic energy from the mean flow to the turbulent motion through the interaction between the turbulent fluctuations and the mean flow velocity gradients. Here 𝐶𝑠1, 𝐶𝑠2, 𝜎𝑘 , 𝜎𝜀 are the empirical turbulent constant. The values are considered according to the Launder, et. al. (1974). IV. Simulation Of Thermal Flow Computational Domain with Boundary Conditions The flow and thermal variables are defined by the following boundary conditions: Inlet watertemperature…………....300 K Outlet wall temperature………..….1000 K Mass flow rate………………..……0.034 Kg/sec Operating pressure....................…...1 bar The commercial CFD programming utilizes a control volume based method to change over the representing mathematical statements which are comprehended numerically utilizing the implicit method. In the segregated formulation the governing equations are solved successively, as it is isolated from each other. The solution convergence is acquired by observing the continuity, momentum, energy, and turbulence equations independently. A convergence criterion of 10-4 is utilized for mass conservation and 10-6 for energy conservation. The temperature of the vent gas is 1000 K and warmth is exchanged to the water inside the tube. The temperature of the water inside the tube comes to more or less 391 K in the smooth tube, 406 K, 410 K and 412 K in the rifled geometry having circular, rectangular and triangular geometry individually. The temperature circulation in the boiler tube is influenced by numerous variables, for example, mass flow rate of steam, steam temperature, feed water temperature and pressure. Consequently, impact of these variables is likewise considered by running a predetermined number of simulations. V. Results And Discussion 5.1 Effect of Rifled Geometry onHeat Transfer Enhancement inthe Tube It has been observed that the total heat transfer rate, temperature and enthalpy at the outlet of the channel is increased significantly by applying corrugated geometry inside the boiler tube. This is due to increased roughness surface area for same mass flow inlet. Lower the low value of mass flow inlet higher will be the surface area and tube get heated uniformly and in relatively shorter time as compare to high mass flow inlet and smooth tube. 5.2 Temperature Distribution Due To Different Geometries ofthe Tube At the point when liquid to be heated goes into the tube, because of convective heat transfer the liquid inside the tube get warmed. Because of wall heat transfer coefficient and region item liquid get heated at first up to a certain length and after quite a while liquid spans to a uniform temperature. When liquid gets changed over into steam it is presently accessible to supply where required. Fig. 2 demonstrates the temperature circulation for distinctive geometry of the tube. The mean temperature of the working liquid increments with the separation from the passageway of course. Additionally expected, the increment is fast closer the wall due to high heat transfer rates in this locale because of higher temperature contrasts between the wall surface and the liquid.
  • 4. CFD Studies On Different Helical Rifled Boiler Tube DOI: 10.9790/1684-12415358 www.iosrjournals.org 56 | Page (a) Plane Walled Tube Geometry (b) Circular (helical rifled) Tube Geometry (c) Rectangular (helical rifled) Tube Geometry
  • 5. CFD Studies On Different Helical Rifled Boiler Tube DOI: 10.9790/1684-12415358 www.iosrjournals.org 57 | Page (d) Triangular (helical rifled) Tube Geometry Figure 2: Contours of Temperature for Different Geometry ofthe Tube Figure 3: Temperature profile along axial distance for various geometry of the tube A little increment in the heat transfer of the tube will improve the execution in its application, for example, in boiler and roll out immense improvement in general execution of the boiler. From the Fig. 3 as demonstrated below, it is been watched that the figure demonstrating temperature profile of smooth tube having straightforward geometry is not proficient when contrasted with the chart of different figures having corrugated geometry. Temperature of smooth tube geometry goes up to 391 K from starting temperature of 300 K while the temperature of corrugated tube having circular, rectangular and triangular geometry goes up to 406 K, 410 K, and 412 K individually. The heat transfer enhancement impact in corrugated channel is basically because of instigated turbulence which gives higher heat transfer rate. As indicated from the study, diverse geometries give distinctive results for the same stream conditions (mass-flow rate). The decision of fitting geometry does not generally rely on upon mass-flow rate values, but rather consistency and very nearly steady conduct through a low mass-flow rate reach, assumes an essential part. VI. Conclusion The heat transfer in the tube has been broke down, and its reliance on geometry is accounted for in this study. A little increment in the heat exchange of the tube will upgrade the execution in its application, for example, in boiler and roll out tremendous improvement in general execution of the boiler. As indicated by the study, the decision of suitable tube geometry relies on upon the application. The folded configuration is demonstrated to give better convective properties (more or less 19% more convective transfer). The model was made utilizing Solid Works 2012 and meshed with Fluent, and the flow analysis is finished with Ansys 14.5. The outcomes demonstrating that the heat transfer is increased. The enthalpy and temperature increment with flow is progressing when compare with normal plane walled boiler tube. So the execution of Optimized Helical
  • 6. CFD Studies On Different Helical Rifled Boiler Tube DOI: 10.9790/1684-12415358 www.iosrjournals.org 58 | Page Ridging evaporator tube in the boiler is advisable. The study demonstrate that the change in furnace heat transfer can be accomplished by changing the interior plane surface to a rifled tube. References [1]. P. Naphon, and S. Wongwises, A review of flow and heat transfer characteristics in curved tubes, Renewable Sustainable Energy Review, 2006, 10 463-90. [2]. S. Rainieri, F. Bozzoli, L. Schiavi, and G. Pagliarini, Numerical analysis of convective heat transfer enhancement in swirl tubes, International Journal of Numerical Method for Heat, 21 (5), 2011, 559-71. [3]. S. Rainieri and G. Pagliarini, Convective heat transfer to temperature dependent property fluids in the entry region of corrugated tubes, International Journal of Heat and Mass Transfer, 45, 2002, 4525–36 [4]. S. Rainieri, A. Farina, and G. Pagliarini, Experimental investigation of heat transfer and pressure drop augmentation for laminar flow in spirally enhanced tubes,Proc. 2nd European Thermal-Sciences and 14th UIT National Heat Transfer Conference, Rome, 1996 1 203–9. [5]. G.D. Zarnett,&M.E. Charles, Concurrent gas-liquid flow in horizontal tubes with internal spiral ribs. The Canadian Journal of Chemical Engineering, Vol. 47, 1969, pp. 238- 241. [6]. R.L. Webb,&N.H. Kim,Principles of Enhanced Heat Transfer (Boca Raton: Taylor & Francis, 2005). [7]. J.C. Han, An Investigation of Heat Transfer and Friction for Rib-Roughened Surfaces. International Journal of Heat and Mass Transfer, Vol. 21, 1978, pp. 1143-1156. [8]. L.X. Cheng, and T.K. Chen, Study of single phase flow heat transfer and friction pressure drop in a spiral internally ribbed tube. Chemical Engineering Technology, Vol. 29, No.5, 2006, pp. 588-595. [9]. S.K. Lee, Experimental Study of Post-Dry out with R-134a Upward Flow in Smooth Tube and Rifled Tubes,International Journal of Heat and Mass Transfer, Vol. 51, 2008, pp. 3153-3163.