Laminar forced convection flow past an in-line elliptical cylinder array with inclination is simulated using the finite element method. The inclination of the elliptical cylinders is increased with the number of the cylinder in the array, 0 deg for the first cylinder and 90 deg for the last cylinder. The global objective of this research is to enhance the heat transfer out of the cylinders. A parametric study of heat exchanges between the cylinders and flow (expressed by the Nusselt number) is reported for Reynolds numbers between 125 and 1000, while the Prandtl number is fixed at 0.71. The results are compared with an elliptical cylinder array without inclination to assess the heat transfer enhancement. The problem is solved as transient, and a vortex shedding phenomenon is reported. The results indicated that the Reynolds number has a significant effect on the heat transfer out of the cylinders, and the inclination of the elliptical cylinders enhances heat transfer rate up to 238.59%, but pressure drop is increased as high as 700%. Also, skin-friction coefficient along the five cylinders’ perimeter, plots of the velocity flow field, and temperature contours are presented.
1.
Zukauskas
, A.
, 1987, “Heat Transfer From Tubes in Cross Flow
,” Adv. Heat Transfer
0065-2717, 18
, pp. 87
–157
.2.
Chen
, C.
, Wong
, K.
, and Cleaver
, J.
, 1986, “Finite Element Solution of Laminar Flow and Heat Transfer of Air in a Staggered and an in-Line Tube Array
,” Int. J. Heat Fluid Flow
0142-727X, 7
, pp. 291
–300
.3.
Stanescu
, G.
, Fowler
, A.
, and Bejan
, A.
, 1996, “The Optimal Spacing of Cylinders in Free-Stream Cross-Flow Forced Convection
,” Int. J. Heat Mass Transfer
0017-9310, 39
, pp. 311
–317
.4.
Gowda
, Y.
, Patnaik
, B.
, Narayana
, P.
, and Seetharamu
, K.
, 1998, “Finite Element Simulation of Transient Laminar Flow and Heat Transfer Past an in-Line Tube Bank
,” Int. J. Heat Fluid Flow
0142-727X, 19
, pp. 49
–55
.5.
Wilson
, A.
, and Bassiouny
, M.
, 2000, “Modeling of Heat Transfer for Flow Across Tube Banks
,” Chem. Eng. Process.
0255-2701, 39
, pp. 1
–14
.6.
El-Shaboury
, A.
, and Ormiston
, S.
, 2005, “Analysis of Laminar Forced Convection of Air Crossflow in in-Line Tube Banks With Non-Square Arrangements
,” Numer. Heat Transfer, Part A
1040-7782, 48
, pp. 99
–126
.7.
Joadar
, A.
, and Jacobi
, A.
, 2007, “A Numerical Study of Flow and Heat Transfer Enhancement Using an Array of Delta-Winglet Vortex Generators in a Fin-and Tube Heat Exchanger
,” ASME J. Heat Transfer
0022-1481, 129
, pp. 1156
–1166
.8.
Mon
, M.
, and Gross
, U.
, 2004, “Numerical Study of Fin-Spacing Effect in Annular-Finned Tube Heat Exchangers
,” Int. J. Heat Mass Transfer
0017-9310, 47
, pp. 1953
–1964
.9.
He
, Y.
, Tao
, W.
, Song
, F.
, and Zhang
, W.
, 2005, “Three-Dimensional Numerical Study of Heat Transfer Characteristics of Pain Plate Fin-and-Tube Heat Exchangers From View Point of Field Synergy Principle
,” Int. J. Heat Fluid Flow
0142-727X, 26
, pp. 459
–473
.10.
Faruquee
, Z.
, Ting
, D.
, Fartaj
, A.
, Barron
, R.
, and Carriveau
, R.
, 2007, “The Effects of Axis Ratio on Laminar Fluid Flow Around an Elliptical Cylinder
,” Int. J. Heat Fluid Flow
0142-727X, 28
, pp. 1178
–1189
.11.
Kocabiyik
, S.
, and D’Alessio
, S.
, 2004, “Numerical Study of Flow Around an Inclined Elliptical Cylinder Oscillating in Line With Incident Uniform Flow
,” Eur. J. Mech. B/Fluids
0997-7546, 23
, pp. 279
–302
.12.
Ahmad
, E.
, and Badr
, H.
, 2002, “Mixed Convection From an Elliptical Tube at Different Angle of Attack Placed in a Fluctuating Free Stream
,” Heat Transfer Eng.
0145-7632, 23
, pp. 45
–61
.13.
D’Alessio
, S.
, Saunders
, M.
, and Harmsworth
, D.
, 2003, “Forced and Mixed Convection Heat Transfer From Accelerated Flow Past an Elliptical Cylinder
,” Int. J. Heat Mass Transfer
0017-9310, 46
, pp. 2927
–2946
.14.
Khan
, M.
, Fartaj
, A.
, and Ting
, D.
, 2004, “An Experimental Characterization of Cross-Flow Cooling of Air Via an in-Line Elliptical Tube Array
,” Int. J. Heat Fluid Flow
0142-727X, 25
, pp. 636
–648
.15.
Hasan
, A.
, and Siren
, K.
, 2007, “Comparison of External Surface Heat Transfer Coefficients for Circular and Oval Tubes
,” Heat Transfer Eng.
0145-7632, 28
, pp. 640
–644
.16.
Matos
, R.
, Laursen
, T.
, Vargas
, J.
, and Bejan
, A.
, 2004, “Three-Dimensional Optimization of Staggered Finned Circular and Elliptic Tubes in Forced Convection
,” Int. J. Therm. Sci.
1290-0729, 43
, pp. 477
–487
.17.
Tiwari
, S.
, Maurya
, D.
, Biswas
, G.
, and Eswaran
, V.
, 2003, “Heat Transfer Enhancement in Cross-Flow Heat Exchangers Using Tubes and Multiple Delta Winglets
,” Int. J. Heat Mass Transfer
0017-9310, 46
, pp. 2841
–2856
.18.
AIAA
, 1998, “Guide for the Verification and Validation of Computational Fluid Dynamics Simulations
,” Paper No. G-077-1998.19.
Roshko
, A.
, 1954, “On the Drag and Shedding Frequency of Two Dimensional Bluff Bodies
,” National Advisory Committee for Aeronautics, Washington, DC, NACA Technical Note No. 3169.20.
Norberg
, C.
, 2003, “Fluctuating Lift on a Circular Cylinder: Review and New Measurements
,” J. Fluids Struct.
0889-9746, 17
, pp. 57
–96
.21.
Williamson
, C.
, 1991, “2-D and 3-D Aspects of the Wake of a Cylinder and Their Relation to Wake Computations
,” Vortex Dynamics and Vortex Method
(Lectures in Applied Mathematics
), Vol. 28
.22.
Meneghini
, J.
, Saltara
, F.
, and Ferrari
, J.
, 2001, “Numerical Simulation of Flow Interference Between Two Circular Cylinders in Tandem and Side-by-Side Arrangement
,” J. Fluids Struct.
0889-9746, 15
, pp. 327
–350
.23.
Braza
, M.
, Chassaing
, P.
, and Ha
, H.
, 1986, “Numerical Study and Physical Analysis of the Pressure and Velocity Field in the Near Wake of a Circular Cylinder
,” J. Fluid Mech.
0022-1120, 165
, pp. 79
–130
.24.
Ding
, H.
, Shu
, C.
, Yeo
, Y.
, and Xu
, D.
, 2007, “Numerical Simulation of Flows Around Two Circular Cylinders by Mesh-Free Least Square-Based Finite Difference Methods
,” Int. J. Numer. Methods Fluids
0271-2091, 53
, pp. 305
–332
.25.
Zhuauskas
, A.
, 1972, “Heat Transfer From Tubes in Cross-Flow
,” Advances in Heat Transfer
, Vol. 8
, Academic
, New York
.26.
Knudsen
, J.
, and Katz
, D.
, 1958, Fluid Dynamics and Heat Transfer
, McGraw-Hill
, New York
.27.
Churchill
, S.
, and Benstein
, M.
, 1977, “A Correlating Equation for Forced Convection From Gases and Liquids to a Circular Cylinder in Crossflow
,” ASME J. Heat Transfer
0022-1481, 99
, pp. 300
–306
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