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Research Papers: Forced Convection

Direct Numerical Simulation and RANS Comparison of Turbulent Convective Heat Transfer in a Staggered Ribbed Channel With High Blockage

[+] Author and Article Information
Luca Marocco

Department of Energy,
Politecnico di Milano,
Milan 20156, Italy
e-mail: luca.marocco@polimi.it

Andrea Franco

Department of Energy,
Politecnico di Milano,
Milan 20156, Italy

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 1, 2016; final manuscript received August 26, 2016; published online October 11, 2016. Assoc. Editor: Jim A. Liburdy.

J. Heat Transfer 139(2), 021701 (Oct 11, 2016) (7 pages) Paper No: HT-16-1240; doi: 10.1115/1.4034774 History: Received May 01, 2016; Revised August 26, 2016

A turbulent convective flow of an incompressible fluid inside a staggered ribbed channel with high blockage at ReH ≈ 4200 is simulated with direct numerical simulation (DNS) and Reynolds-averaged Navier–Stokes (RANS) techniques. The DNS results provide the reference solution for comparison of the RANS turbulence models. The k–ε realizable, k–ω SST, and v2¯f model are accurately analyzed for their strengths and weaknesses in predicting the flow and temperature field for this geometry. These three models have been extensively used in literature to simulate this configuration and boundary conditions but with discordant conclusions upon their performance. The v2¯f model performs much better than the k–ε realizable while the k–ω SST model results to be inadequate.

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References

Casarsa, L. , and Arts, T. , 2005, “ Experimental Investigation of the Aerothermal Performance of a High Blockage Rib-Roughened Cooling Channel,” ASME J. Turbomach., 127(3), pp. 580–588. [CrossRef]
Rau, G. , Cakan, M. , Moeller, D. , and Arts, T. , 1998, “ The Effect of Periodic Ribs on the Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel,” ASME J. Turbomach., 120(2), pp. 368–375. [CrossRef]
Çakan, M. , 2000, “ Aero-Thermal Investigation of Fixed Rib-Roughened Cooling Passages,” Ph.D. thesis, von Karman Institute for Fluid Dynamics, Université Catholique de Louvain, Leuven, Belgium.
Keshmiri, A. , 2012, “ Numerical Sensitivity Analysis of 3- and 2-Dimensional Rib-Roughened Channels,” Heat Mass Transfer, 48(7), pp. 1257–1271. [CrossRef]
Iacovides, H. , and Raisee, M. , 1999, “ Recent Progress in the Computation of Flow and Heat Transfer in Internal Cooling Passages of Turbine Blades,” Int. J. Heat Fluid Flow, 20(3), pp. 320–328. [CrossRef]
Raisee, M. , Noursadeghi, A. , and Iacovides, H. , 2004, “ Application of a Non-Linear k-ε Model in Prediction of Convective Heat Transfer Through Ribbed Passages,” Int. J. Numer. Methods Heat Fluid Flow, 14(3), pp. 285–304. [CrossRef]
Yap, C. , 1987, “ Turbulent Heat and Momentum Transfer in Recirculating and Impinging Flows,” Ph.D. thesis, Department of Mechanical Engineering, Faculty of Technology, University of Manchester, Manchester, UK.
Ooi, A. , Iaccarino, G. , Durbin, P. , and Behnia, M. , 2002, “ Reynolds Averaged Simulation of Flow and Heat Transfer in Ribbed Ducts,” Int. J. Heat Fluid Flow, 23(6), pp. 750–757. [CrossRef]
Chaube, A. , Sahoo, P. , and Solanki, S. , 2006, “ Analysis of Heat Transfer Augmentation and Flow Characteristics Due to Rib Roughness Over Absorber Plate of a Solar Air Heater,” Renewable Energy, 31(3), pp. 317–331. [CrossRef]
Tanda, G. , 2004, “ Heat Transfer in Rectangular Channels With Transverse and V-Shaped Broken Ribs,” Int. J. Heat Mass Transfer, 47(2), pp. 229–243. [CrossRef]
Wongcharee, K. , Changcharoen, W. , and Eiamsa-ard, S. , 2011, “ Numerical Investigation of Flow Friction and Heat Transfer in a Channel With Various Shaped Ribs Mounted on Two Opposite Ribbed Wall,” Int. J. Chem. React. Eng., 9(1), p. A26.
Kilicaslan, I. , and Sarac, I. , 1998, “ Enhancement of Heat Transfer in Compact Heat Exchanger by Different Type of Rib With Holographic Interferometry,” Exp. Therm Fluid Sci., 17(4), pp. 339–346. [CrossRef]
Eiamsa-ard, S. , and Promvonge, P. , 2008, “ Numerical Study on Heat Transfer of Turbulent Channel Flow Over Periodic Grooves,” Int. Commun. Heat Mass Transfer, 35(7), pp. 844–852. [CrossRef]
Lorenz, S. , Mukomilow, D. , and Leiner, W. , 1995, “ Distribution of the Heat Transfer Coefficient in a Channel With Periodic Transverse Grooves,” Exp. Therm Fluid Sci., 11(3), pp. 234–242. [CrossRef]
Luo, D. , Leung, C. , Chan, T. , and Wong, W. , 2005, “ Flow and Forced-Convection Characteristics of Turbulent Flow Through Parallel Plates With Periodic Transverse Ribs,” Numer. Heat Transfer, Part A, 48(1), pp. 43–58. [CrossRef]
Marocco, L. , Fustinoni, D. , Gramazio, P. , and Niro, A. , 2011, “ First Numerical Results on Forced-Convection Heat Transfer Inside a Rectangular Channel With Straight Ribs on Lower and Upper Walls,” XXIX UIT Heat Transfer Conference, pp. 217–222.
Fustinoni, D. , Gramazio, P. , and Niro, A. , 2011, “ Heat Transfer Characteristics in Forced Convection Through a Rectangular Channel With Ribbed Surfaces,” XXIX UIT Heat Transfer Conference, pp. 63–68.
Marocco, L. , Gramazio, P. , Fustinoni, D. , and Niro, A. , 2012, “ Numerical Simulation of Forced-Convection Heat Transfer in a Ribbed Channel With High Blockage,” XXX UIT Heat Transfer Conference, pp. 259–263.
Miyake, Y. , Tsujimoto, K. , and Nakaji, M. , 2001, “ Direct Numerical Simulation of Rough-Wall Heat Transfer in a Turbulent Channel Flow,” Int. J. Heat Fluid Flow, 22(3), pp. 237–244. [CrossRef]
Hattori, H. , and Nagano, Y. , 2012, “ Structures and Mechanism of Heat Transfer Phenomena in Turbulent Boundary Layer With Separation and Reattachment Via DNS,” Int. J. Heat Fluid Flow, 37, pp. 81–92. [CrossRef]
Rossi, R. , 2009, “ Direct Numerical Simulation of Scalar Transport Using Unstructured Finite-Volume Schemes,” J. Comput. Phys., 228(5), pp. 1639–1657. [CrossRef]
Arts, T. , Benocci, C. , and Rambaud, P. , 2007, “ Experimental and Numerical Investigation of Flow and Heat Transfer in a Ribbed Square Duct,” 3rd International Symposium on Integrating CFD and Experiments in Aerodynamics, U.S. Air Force Academy, CO, June 20–21, Paper No. ADA515392.
Franco, A. , 2013, “ Modellazione DNS e RANS della convezione forzata turbolenta in un canale corrugato,” Master's thesis, Politecnico di Milano, Milano, Italy (in Italian). [English Translation: “DNS and RANS Modelling of Turbulent Convective Heat Transfer in a Ribbed Channel.”]
Patankar, S. , Liu, C. , and Sparrow, E. , 1978, “ The Periodic Thermally Developed Regime in Ducts With Streamwise Periodic Wall Temperature or Heat Flux,” Int. J. Heat Mass Transfer, 21(5), pp. 557–566. [CrossRef]
Barth, T. , and Jespersen, D. , 1989, “ The Design and Application of Upwind Schemes on Unstructured Meshes,” AIAA Paper No. 89-0366.
ANSYS, 2013, “ Fluent Manual v.13,” ANSYS, Inc., Canonsburg, PA.
Kim, S. , and Makarov, B. , 2005, “ An Implicit Fractional-Step Method for Efficient Transient Simulation of Incompressible Flows,” AIAA Paper No. 2005-5253.
Patankar, S. V. , 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
Kim, J. , Moin, P. , and Moser, R. , 1987, “ Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number,” J. Fluid Mech., 177, pp. 133–166. [CrossRef]
Shih, T.-H. , Liou, W. W. , Shabbir, A. , Yang, Z. , and Zhu, J. , 1995, “ A New k-ε Eddy Viscosity Model for High Reynolds Number Turbulent Flows,” Comput. Fluids, 24(3), pp. 227–238. [CrossRef]
Menter, F. R. , 1994, “ Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications,” AIAA J., 32(8), pp. 1598–1605. [CrossRef]
Durbin, P. , 1995, “ Separated Flow Computations With the k-ε-v2¯ Model,” AIAA J., 33(4), pp. 659–664. [CrossRef]
Wolfshtein, M. , 1969, “ The Velocity and Temperature Distribution in One-Dimensional Flow With Turbulence Augmentation and Pressure Gradient,” Int. J. Heat Mass Transfer, 12(3), pp. 301–318. [CrossRef]
Van Haren, S. , 2011, “ Testing DNS Capability of OpenFOAM and STAR-CCM+,” Master's thesis, Delft University of Technology, Delft, The Netherlands.
Kawamura, H. , Ohsaka, K. , Abe, H. , and Yamamoto, K. , 1998, “ DNS of Turbulent Heat Transfer in Channel Flow With Low to Medium-High Prandtl Number Fluid,” Int. J. Heat Fluid Flow, 19(5), pp. 482–491. [CrossRef]
Wang, L. , Salewski, M. , and Sundén, B. , 2010, “ Turbulent Flow in a Ribbed Channel: Flow Structures in the Vicinity of a Rib,” Exp. Therm Fluid Sci., 34(2), pp. 165–176. [CrossRef]
Lohász, M. , Rambaud, P. , and Benocci, C. , 2005, “ Flow Features in a Fully Developed Ribbed Duct Flow as a Result of LES,” Engineering Turbulence Modelling and Experiments 6, Elsevier Science B.V., Amsterdam, The Netherlands, pp. 267–276.
Cui, J. , Patel, V. , and Lin, C. , 2003, “ Large-Eddy Simulation of Turbulent Flow in a Channel With Rib Roughness,” Int. J. Heat Fluid Flow, 24(3), pp. 372–388. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Computational domain in the x–y plane

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Fig. 2

Streamlines comparison between RANS and DNS

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Fig. 3

Comparison of streamwise velocity profiles: DNS (——), k–ε realizable (- - - -), k–ω SST (– - - – - -), and v2¯-f (·········)

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Fig. 4

(a) Comparison of turbulent kinetic energy and (b) comparison of Reynolds shear stress: DNS (——), k–ε realizable (- - - -), and v2¯-f (·········)

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Fig. 5

Comparison of the turbulent momentum diffusivity: DNS (◯), k–ε realizable (- - - -), and v2¯-f (·········)

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Fig. 6

Comparison of the temperature field: DNS (——), k–ε realizable (- - - -), k–ω SST (– - - – - -), and v2¯-f (·········)

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Fig. 7

Comparison of the normal turbulent heat transfer: DNS (——), k–ε realizable (- - - -), and v2¯-f (·········)

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Fig. 8

Wall temperature and Nu number ratio along the bottom wall: (a) Tw/Tb,in and (b) NuH/NuH,0; ◯ DNS, △ k-ε realizable,▽ k-ω SST, and×v2¯-f

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