Analysis of Mixed Convective Heat Transfer in a Ribbed Channel Using the Lattice Boltzmann Method

REFERENCES

• S. Chen and G. D. Doolen Lattice Boltzmann Method for Fluid Flows, Ann. Rev. Fluid Mech., vol. 30, pp. 329–364, 1998.
   Web of Science ®Google Scholar
• D. A. Wolf-Gladrow Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction. Springer-Verlag, Berlin-Heidelberg, 2000.
   Google Scholar
• S. Succi The Lattice Boltzmann Method for Fluid Dynamics and Beyond, Oxford University Press, New York, NY, 2001.
   Google Scholar
• J. Cai and X. Huai Study of Fluid-Solid Coupling Heat Transfer in Fractal Porous Medium by Lattice Boltzmann Method, Appl. Thermal Engg., vol. 30, pp. 715–723, 2010.
   Web of Science ®Google Scholar
• H. A. Ashorynejad, M. Farhadi, K. Sedighi, and A. Hasapour Free Convection in a MHD Porous Cavity with Using Lattice Boltzmann Method, World Academy Sci, Engg. Tech., vol. 73, pp. 735–740, 2011.
   Google Scholar
• S. Succi, R. Benzi, and F. Higuera The Lattice Boltzmann Equation: A New Tool for Computational Fluid Dynamics. Physica D, vol. 47, pp. 219–230, 1991.
   Web of Science ®Google Scholar
• S. Chen, Z. Wang, X. Shan, and G. D. Doolen Lattice Boltzmann Computational Fluid Dynamics in Three Dimensions, J. Stat. Phys., vol. 68, pp. 379–400, 1992.
   Web of Science ®Google Scholar
• G. Falcucci, S. Ubertini, D. Chiappini, and S. Succi Modern Lattice Boltzmann Methods for Multiphase Microflows, IMA J. Appl. Math., vol. 76, pp. 712–725, 2011.
   Web of Science ®Google Scholar
• H. N. Dixit and V. Babu Simulation of High Rayleigh Number Natural Convection in a Square Cavity using the Lattice Boltzmann Method, Int. J. Heat Mass Transfer., vol. 49, pp. 727–739, 2006.
   Web of Science ®Google Scholar
• S. C. Mishra and H. K. Roy Solving Transient Conduction-Radiation Problems using the Lattice Boltzmann Method and the Finite Volume Method, J. Comput. Phys., vol. 233, pp. 89–107, 2007.
   Web of Science ®Google Scholar
• S. Chakraborty and D. Chatterjee An Enthalpy-Based Hybrid Lattice-Boltzmann Method for Modeling Solid–Liquid Phase Transition in the Presence of Convective Transport, J. Fluid Mech., vol. 592, pp. 155–175, 2007.
   Web of Science ®Google Scholar
• W.-S. Jiaung, J. R. Ho, and C.-P. Kuo Lattice Boltzmann Method for Heat Conduction Problem with Phase Change, Numer. Heat Transfer B, vol. 39, pp. 167–187, 2001.
   Web of Science ®Google Scholar
• B. Mondal and X. Li Effect of Volumetric Radiation on Natural Convection in a Square Cavity Using Lattice Boltzmann Method with Non-uniform Lattices, Int. J. Heat Mass Transfer, vol. 53, pp. 4935–4948, 2010.
   Web of Science ®Google Scholar
• J. Zhang Lattice Boltzmann Method for Microfluidics: Models and Applications, Microfluid Nanofluid, vol. 10, pp. 1–28, 2011.
   Web of Science ®Google Scholar
• A. K. Dhiman, R. P. Chhabra, and V. Eswaran Flow and Heat Transfer Across a Confined Square Cylinder in the Steady Flow Regime: Effect of Peclet Number, Int. J. Heat Mass Transfer, vol. 48, pp. 4598–4614, 2005.
   Web of Science ®Google Scholar
• A. Sharma and V. Eswaran Effect of Aiding and Opposing Buoyancy on the Heat and Fluid Flow Across a Square Cylinder at Re = 100, Numer. Heat Transfer A, vol. 45, pp. 601–624, 2004.
   Web of Science ®Google Scholar
• G. Biswas, H. Laschefski, N. K. Mitra, and M. Fiebig Numerical Investigation of Mixed Convection Heat Transfer in a Horizontal Channel with a Built-in Square Cylinder, Numer. Heat Transfer A, vol. 18, pp. 173–188, 1990.
   Web of Science ®Google Scholar
• S. Turki, H. Abbassi, and S. B. Nasrallah Two-Dimensional Laminar Fluid Flow and Heat Transfer in a Channel with a Built-in Heated Square Cylinder, Int. J. Thermal Sci., vol. 42, pp. 1105–1113, 2003.
   Web of Science ®Google Scholar
• A. Sharma and V. Eswaran Effect of Channel-Connement and Aiding/Opposing Buoyancy on the Two-Dimensional Laminar Flow and Heat Transfer Across a Square Cylinder, Int. J. Heat Mass Transfer, vol. 48, pp. 5310–5322, 2005.
   Web of Science ®Google Scholar
• A. K. Dhiman, R. P. Chhabra, A. Sharma, and V. Eswaran Effects of Reynolds and Prandtl Numbers on Heat Transfer Across a Square Cylinder in the Steady Flow Regime, Numer. Heat Transfer A, vol. 49, pp. 717–731, 2006.
   Web of Science ®Google Scholar
• D. Chatterjee and B. Mondal Effect of Thermal Buoyancy on Vortex Shedding Behind a Square Cylinder in Cross Flow at Low Reynolds Numbers, Int. J. Heat Mass Transfer, vol. 54, pp. 5262–5274, 2011.
   Web of Science ®Google Scholar
• N. Cur and E. M. Sparrow Measurements of Developing and Fully Developed Heat Transfer Coefficient Along a Periodically Interrupted Surface, J. Heat Transfer, vol. 101, pp. 211–216, 1979.
   Web of Science ®Google Scholar
• K. M. Kelkar and S. V. Patankar Numerical Prediction of Flow and Heat Transfer in a Parallel Plate Channel with Staggered Fins, J. Heat Transfer, vol. 109, pp. 25–30, 1987.
   Web of Science ®Google Scholar
• C. H. Amon and B. Mikic Spectral Element Simulation of Unsteady Forced Convective Heat Transfer: Application to Compact Heat Exchanger Geometries, Numer. Heat Transfer A, vol. 19, pp. 1–19, 1983.
   Web of Science ®Google Scholar
• S. Acharya, A. Myrum, and S. Inamdar Subharmonic Excitation of the Shear Layer Between Two Ribs, Vortex Interaction and Pressure Field, AIAA J., vol. 29, pp. 1390–1399, 1991.
   Google Scholar
• A. Ooi, G. Iaccarino, P. A. Durbin, and M. Behnia Reynolds Averaged Simulation of Flow and Heat Transfer in Ribbed Ducts, Int. J. Heat Mass Transfer, vol. 23, pp. 750–757, 2002.
   Web of Science ®Google Scholar
• M. A. Moussaoui, M. Jami, A. Mezrhab, and H. Naji Lattice Boltzmann Simulation of Convective Heat Transfer from Heated Blocks in a Horizontal Channel, Numer. Heat Transfer A, vol. 56, pp. 422–443, 2009.
   Web of Science ®Google Scholar
• A. A. Alamyane and A. A. Mohamad Simulation of Forced Convection in a Channel with Extended Surfaces by the Lattice Boltzmann Method. Comput, Math. Appl., vol. 59, pp. 2421–2430, 2010.
   Web of Science ®Google Scholar
• T. Chompookham, C. Thianpong, S. Kwankaomeng, and P. Promvonge Heat Transfer Augmentation in a Wedge-Ribbed Channel using Winglet Vortex Generators, Int. Commu. Heat Mass Transfer, vol. 37, pp. 163–169, 2010.
   Web of Science ®Google Scholar
• M. M. Pirouz, M. Farhadi, K. Sedighi, H. Nemati, and E. Fattahi Lattice Boltzmann Simulation of Conjugate Heat Transfer in a Rectangular Channel with Wall-Mounted Obstacles, Scientia Iranica Mech. Engg. B, vol. 18, pp. 213–221, 2011.
   Web of Science ®Google Scholar
• P. L. Bhatnagar, E. P. Gross, and M. Krook A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems, Phys. Rev., vol. 94, pp. 511–525, 1954.
   Web of Science ®Google Scholar
• A. A. Mohamad Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes, Springer-Verlag, London, 2011.
   Google Scholar
• Q. Zou and X. He On Pressure and Velocity Flow Boundary Conditions for the Lattice Boltzmann BGK Model, Phys. Fluids, vol. 9, pp. 1591–1598, 1997.
   Web of Science ®Google Scholar
• M. Breuer, J. Bernsdorf, T. Zeiser, and F. Durst Accurate Computations of the Laminar Flow Past a Square Cylinder Based on Two Different Methods: Lattice-Boltzmann and Finite-Volume, Int. J. Heat Fluid Flow, vol. 21, pp. 186–196, 2000.
   Web of Science ®Google Scholar
• A. Agrawal, L. Djenidi, and R. A. Antonia Investigation of Flow Around of a Pair of Side-by-Side Square Cylinders using the Lattice Boltzmann Method, Comput. Fluids, vol. 35, pp. 1093–1107, 2006.
   Web of Science ®Google Scholar
• G. H. Tang, W. Q. Tao, and Y. L. He Simulation of Fluid Flow and Heat Transfer in a Plane Channel using the Lattice Boltzmann Method, Int. J. Modern Phys. B, vol. 17, pp. 183–187, 2003.
   Web of Science ®Google Scholar