An unsteady mixed convective flow and heat transfer in a vertical corrugated channel containing porous and fluid layers are considered. The equations of momentum and energy are solved under appropriate boundary and interface conditions with the assumption that the solution consists of a mean part and a perturbed one. The exact solutions are obtained in the long-wave approximation. Separate solutions are matched at the interface with the use of suitable matching conditions. The effects of pertinent parameters, such as the Grashof number, viscosity ratio, width ratio, conductivity ratio, frequency, and the wave parameter on the flow field and heat transfer characteristics are studied.
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References
K. Vafai, Hand Book of Porous Media, Marcel Dekker, New York (2000).
D. A. Nield and A. Bejan, Convection in Porous Media, 3rd ed., Springer, New York (2006).
G. Beavers and D. D. Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech., 30, 197–207 (1967).
G. Neale and W. Nader, Practical signifi cance of Brinkman’s extension of Darcy’s law: Coupled parallel flows within a channel and a bounding porous medium, Can. J. Chem. Eng., 52, 475–478 (1974).
V. Prasad, Convective flow interaction and heat transfer between fluid and porous layers: in Proc. NATO Advanced Study Institute on Convective Heat and Mass Transfer in Porous Medium, Turkey (1990).
D. A. Nield and A. V. Kuznetsov, Effect of heterogeneity in forced convection in a porous medium: Parallel plate channel or circular duct, Int. J. Heat Mass Transf., 43, 4119–4134 (2000).
K. Vafai and R. Thiyagaraja, Analysis of flow and heat transfer at the interface region of a porous medium, Int. J. Heat Mass Transf., 30, 1391–1405 (1987).
K. Vafai and S. J. Kim, Fluid mechanics of the interface region between a porous medium and a fluid layer – an exact solution, Int. J. Heat Fluid Flow, 11, 254–256 (1990).
S. J. Kim and C. Y. Choi, Convection heat transfer in porous and overlying layers heated from below, Int. J. Heat Mass Transfer, 39, 319–329 (1996).
B. Alzami and K. Vafai, Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer, Int. J. Heat Mass Transf., 44, 1735–1749 (2001).
M. S. Malashetty, J. C. Umavathi, and J. Prathap Kumar, Convective flow and heat transfer in a composite porous medium, J. Porous Media, 4, 15–22 (2001).
M. S. Malashetty, J. C. Umavathi, and J. Prathap Kumar, Two-fluid flow and heat transfer in an inclined channel containing porous and fluid layer, Heat Mass Transf., 40, 871–876 (2004).
M. S. Malashetty, J. C. Umavathi, and J. Prathap Kumar, Flow and heat transfer in an inclined channel containing a fluid layer sandwiched between two porous layers, J. Porous Media, 8, 443–453 (2005).
J. C. Umavathi, A. J. Chamkha, Abdul Mateen, and A. Al-Mudhaf, Oscillatory flow and heat transfer in a horizontal composite porous medium channel, Int. J. Heat Technol., 24, 75–86 (2006).
J. C. Umavathi, A. J. Chamkha, M. H. Manjula, and A. Al-Mudhaf, Radioactive heat transfer of two-fluid flow in a vertical porous stratum, Int. J. Fluid Mech. Res., 35, 510–543 (2008).
J. C. Umavathi, A. J. Chamkha, and K. S. R. Sridhar, Generalized plain Couette flow heat transfer in a composite channel, Transport Porous Media, 85, 157–169 (2010).
J. Prathap Kumar, J. C. Umavathi, I. Pop, and Basavaraj M. Biradar, Fully developed mixed convection flow in a vertical channel containing porous and fluid layer with isothermal or isoflux boundaries, Transport Porous Media, 80, 117–135 (2009).
J. C. Burns and T. Parks, Peristaltic motion, J. Fluid Mech., 29, 405–416 (1967).
K. Vajravelu, Fluid flow and heat transfer in horizontal wavy channels, Acta Mech., 35, 245–258 (1980).
G. Wang and P. Vanka, Convective heat transfer in periodic wavy passages, Int. J. Heat Mass Transfer, 38, 3219–3230 (1995).
V. M. Soundalgekar, R. K. Deka, and U. N. Das, Transient free convection flow of a viscous incompressible fluid past an infinite vertical plate with periodic heat flux, Indian J. Eng. Mater. Sci., 10, 390–396 (2003).
K. Vajravelu and K. S. Sastri, Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall, J. Fluid Mech., 86, 365–383 (1978).
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 3, pp. 706–716, July–August, 2013.
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Umavathi, J.C., Shekar, M. Unsteady mixed convective flow and heat transfer in a vertical corrugated channel with composite porous media. J Eng Phys Thermophy 86, 754–765 (2013). https://doi.org/10.1007/s10891-013-0892-1
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DOI: https://doi.org/10.1007/s10891-013-0892-1