Buoyancy-induced flow, heat, and mass transfer in a porous annulus

References

• K. Vafai, Handbook of Porous Media, 3rd ed., CRC Press, Taylor & Francis Group, Boca Raton, FL, 2015.
   Google Scholar
• A. Bejan, Convection Heat Transfer, 4th ed., Wiley, Hoboken, NJ, 2013.
   Google Scholar
• N. Hadidi and R. Bennacer, Three-Dimensional Double Diffusive Natural Convection across a Cubical Enclosure Partially Filled by Vertical Porous Layer, Int. J. Therm. Sci., vol. 101, pp. 143–157, 2016.
   Web of Science ®Google Scholar
• M. Bourich, M. Hasnaoui, and A. Amahmid, Double-Diffusive Natural Convection in a Porous Enclosure Partially Heated from Below and Differentially Salted, Int. J. Heat Fluid Flow, vol. 25, pp. 1034–1046, 2004.
   Web of Science ®Google Scholar
• B. Goyeau, J.-P. Songbe, and D. Gobin, Numerical Study of Double-Diffusive Natural Convection in a Porous Cavity Using the Darcy–Brinkman Formulation, Int. J. Heat Mass Transfer, vol. 39, pp. 1363–1378, 1996.
   Web of Science ®Google Scholar
• V. A. F. Costa, Double-Diffusive Natural Convection in Parallelogrammic Enclosures Filled with Fluid–Saturated Porous Media, Int. J. Heat Mass Transfer, vol. 47, pp. 2699–2714, 2004.
   Web of Science ®Google Scholar
• B. V. Rathish Kumar and Shalini, Double Diffusive Natural Convection in a Doubly Stratified Wavy Porous Enclosure, Appl. Math. Comput., vol. 171, pp. 180–202, 2005.
   Web of Science ®Google Scholar
• F. Moukalled and M. Darwish, Double Diffusive Natural Convection in a Porous Rhombic Annulus, Numer. Heat Transfer A, vol. 64, pp. 378–399, 2013.
   Web of Science ®Google Scholar
• F. Moukalled and M. Darwish, Effect of Buoyancy Ratio on Double-Diffusive Natural Convection in a Porous Rhombic Annulus, Heat Transfer Eng., vol. 36, pp. 1371–1386, 2015.
   Web of Science ®Google Scholar
• S. K. Jena, S. K. Mahapatra, and A. Sarkar, Double Diffusive Buoyancy Opposed Natural Convection in a Porous Cavity Having Partially Active Vertical Walls, Int. J. Heat Mass Transfer, vol. 62, pp. 805–817, 2013.
   Web of Science ®Google Scholar
• K. Al-Farhany and A. Turan, Non-Darcy Effects on Conjugate Double-Diffusive Natural Convection in a Variable Porous Layer Sandwiched by Finite Thickness Walls, Int. J. Heat Mass Transfer, vol. 54, pp. 2868–2879, 2011.
   Web of Science ®Google Scholar
• F. Moukalled, M. Darwish, J. Kasamani, A. Hammoud, and M. Khamis Mansour, Buoyancy-Induced Flow and Heat Transfer in a Porous Annulus between Horizontal Circular and Square Cylinders, Numer. Heat Transfer A Appl., vol. 69, pp. 1029–1050, 2016.
   Web of Science ®Google Scholar
• K. Vafai and C. L. Tien, Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media, Int. J. Heat Mass Transfer, vol. 24, pp. 195–203, 1981.
   Web of Science ®Google Scholar
• X. B. Chen, P. Yu, S. H. Winoto, and H. T. Low, Free Convection in a Porous Wavy Cavity Based on the Darcy–Brinkman–Forchheimer Extended Model, Numer. Heat Transfer A Appl., vol. 52, pp. 377–397, 2007.
   Web of Science ®Google Scholar
• H. C. Brinkman, On the Permeability of Media Consisting of Closely Packed Porous Particles, J. Appl. Sci. Res. vol. 1, p. 81, 1949 (Section A).
   Google Scholar
• A. Amiri, and K. Vafai, Analysis of Dispersion Effect, and Non-Thermal Equilibrium, Non-Darcian, Variable Porosity Incompressible Flow Through Porous Media, Int. J. Heat Mass Transfer, vol. 37, pp. 939–954, 1994.
   Web of Science ®Google Scholar
• F. Moukalled, L. Mangani, and M. Darwish, The Finite Volume Method in Computational Fluid Dynamics: An Advanced Introduction with OpenFOAM® and Matlab®, Springer International Publishing, Switzerland, 2015.
   Google Scholar
• P. H. Gaskell and A. K. C. Lau, Curvature Compensated Convective Transport: SMART, A New Boundedness Preserving Transport Algorithm, Int. J. Numer. Meth. Fluids, vol. 8, pp. 617–641, 1988.
   Web of Science ®Google Scholar
• M. Darwish and F. Moukalled, Normalized Variable and Space Formulation Methodology for High-Resolution Schemes, Numer. Heat Transfer B Fund., vol. 26, pp. 79–96, 1994.
   Web of Science ®Google Scholar
• I. Demirdzic, A Finite Volume Method for Computation of Fluid Flow in Complex Geometries, Ph.D. thesis, University of London, 1982.
   Google Scholar
• S. Muzaferija, Adaptive Finite Volume Method for Flow Predictions Using Unstructured Meshes and Multigrid Approach, Ph.D. thesis, University of London, 1994.
   Google Scholar
• I. Demirdzic and S. Musaferija, Numerical Method for Coupled Fluid Flow. Heat Transfer and Stress Analysis Using Unstructured Moving Meshes with Cells of Arbitrary Topology, Comput. Meth. Appl. Mech. Eng., vol. 125, pp. 235–255, 1995.
   Web of Science ®Google Scholar
• S. R. Mathur and J. Y. Murthy, A Pressure-Based Method for Unstructured Meshes, Numer. Heat Transfer B Fund., vol. 31, pp. 195–215, 1997.
   Web of Science ®Google Scholar
• H. Jasak, Error Analysis and Estimation for the Finite Volume Method with Applications to Fluid Flow, Ph.D. thesis, Imperial College, London, 1996.
   Google Scholar
• I. Demirdzic, On the Discretization of the Diffusion Term in Finite-Volume Continuum Mechanics, Numer. Heat Transfer B Fund., vol. 68, pp. 1–10, 2015.
   Web of Science ®Google Scholar
• M. Darwish, L. Mangani, and F. Moukalled, General Fully Implicit Discretization of the Diffusion Term for the Finite Volume Method, Numer. Heat Transfer B, vol. 71, no. 6, pp. 506–532, 2017.
   Web of Science ®Google Scholar
• S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, New York, 1980.
   Google Scholar
• F. Moukalled and M. Darwish, Pressure Based Algorithms for Single and Multi-Fluid Flow, in W. J. Minkowycz, E. M. Sparrow and J. Y. Murthy (eds.), Handbook of Numerical Heat Transfer, 2nd ed., pp. 325–367, Wiley, New York, 2006.
   Google Scholar
• F. Moukalled and M. Darwish, A Unified Formulation of the Segregated Class of Algorithms for Fluid Flow at All Speeds, Numer. Heat Transfer B Fund., vol. 37, pp. 103–139, 2000.
   Web of Science ®Google Scholar
• C. M. Rhie and W. L. Chow, Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation, AIAA J., vol. 21, p. 1525, 1983.
   Google Scholar
• M. J. Cho and M. K. Chung, New Treatment of Non-Orthogonal Terms in the Pressure-Correction Equation, Numer. Heat Transfer B Fund., vol. 26, pp. 133–145, 1994.
   Web of Science ®Google Scholar
• M. Darwish and F. Moukalled, A Compact Procedure for Discretization of the Anisotropic Diffusion Operator, Numer. Heat Transfer B Fund., vol. 55, pp. 339–360, 2009.
   Web of Science ®Google Scholar
• Y. Varol, H. F. Oztop, M. Mobedi, and I. Pop, Visualization of Natural Convection Heat Transport Using Heatline Method in Porous Non-Isothermally Heated Triangular Cavity, Int. J. Heat Mass Transfer, vol. 51, pp. 5040–5051, 2008.
   Web of Science ®Google Scholar