×
Selamat, M. S.; Roslan, R.; Hashim, I.

Natural convection in an inclined porous cavity with spatial sidewall temperature variations. (English) Zbl 1244.76111

J. Appl. Math. 2012, Article ID 939620, 10 p. (2012).
Summary: The natural convection in an inclined porous square cavity is investigated numerically. The left wall is assumed to have spatial sinusoidal temperature variations about a constant mean value, while the right wall is cooled. The horizontal walls are considered adiabatic. A finite difference method is used to solve numerically the nondimensional governing equations. The effects of the inclination angle of the cavity, the amplitude and wave numbers of the heated sidewall temperature variation on the natural convection in the cavity are studied. The maximum average Nusselt number occurs at different wave number. It also found that the inclination could influence the Nusselt number.

MSC:

76S05 Flows in porous media; filtration; seepage
76R10 Free convection
76M20 Finite difference methods applied to problems in fluid mechanics
PDF BibTeX XML Cite
\textit{M. S. Selamat} et al., J. Appl. Math. 2012, Article ID 939620, 10 p. (2012; Zbl 1244.76111)
Full Text: DOI

References:

[1] D. A. Nield and A. Bejan, Convection in Porous Media, Springer, New York, NY, USA, 2nd edition, 1999. · Zbl 0947.76078
[2] J. E. Weber, “The boundary-layer regime for convection in a vertical porous layer,” International Journal of Heat and Mass Transfer, vol. 18, no. 4, pp. 569-573, 1975. · Zbl 0297.76074
[3] A. Bejan, “On the boundary layer regime in a vertical enclosure filled with a porous medium,” Letters in Heat and Mass Transfer, vol. 6, no. 2, pp. 93-102, 1979.
[4] R. Bradean, D. B. Ingham, P. J. Heggs, and I. Pop, “Free convection fluid flow due to a periodically heated and cooled vertical flat plate embedded in a porous media,” International Journal of Heat and Mass Transfer, vol. 39, no. 12, pp. 2545-2557, 1996. · Zbl 0964.76539
[5] B. Goyeau, J.-P. Songbe, and D. Gobin, “Numerical study of double-diffusive natural convection in a porous cavity using the Darcy-Brinkman formulation,” International Journal of Heat and Mass Transfer, vol. 39, no. 7, pp. 1363-1378, 1996. · Zbl 0963.76585
[6] Y. Guo and K. Bathe, “A numerical study of a natural convection flow in a cavity,” International Journal for Numerical Methods in Fluids, vol. 40, no. 8, pp. 1045-1057, 2002. · Zbl 1047.76533
[7] N. H. Saeid and I. Pop, “Transient free convection in a square cavity filled with a porous medium,” International Journal of Heat and Mass Transfer, vol. 47, no. 8-9, pp. 1917-1924, 2004. · Zbl 1106.76457
[8] N. H. Saeid and A. A. Mohamad, “Natural convection in a porous cavity with spatial sidewall temperature variation,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 15, no. 6, pp. 555-566, 2005. · Zbl 1231.76294
[9] N. H. Saeid and Y. Yaacob, “Natural convection in a square cavity with spatial side-wall temperature variation,” Numerical Heat Transfer A, vol. 49, no. 7, pp. 683-697, 2006.
[10] J. E. Hart, “Stability of the flow in a differentially heated inclined box,” The Journal of Fluid Mechanics, vol. 47, no. 3, pp. 547-576, 1971.
[11] P. H. Holst and K. Aziz, “Transient three-dimensional natural convection in confined porous media,” International Journal of Heat and Mass Transfer, vol. 15, no. 1, pp. 73-90, 1972. · Zbl 0229.76061
[12] H. Ozoe, K. Yamamoto, H. Sayama, and S. W. Churchill, “Natural convection in an inclined rectangular channel heated on one side and cooled on the opposing side,” International Journal of Heat and Mass Transfer, vol. 17, no. 12, pp. 1209-1217, 1974. · Zbl 0284.76071
[13] K. T. Yang, “Transitions and bifurcations in laminar bouyant flows in confined enclosures,” Journal of Heat Transfer, vol. 110, no. 4, pp. 1191-1204, 1998.
[14] J. Rasoul and P. Prinos, “Natural convection in an inclined enclosure,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 7, no. 5, pp. 438-478, 1997. · Zbl 1064.76613
[15] A. C. Bayta\csc, “Entropy generation for natural convection in an inclined porous cavity,” International Journal of Heat and Mass Transfer, vol. 43, no. 12, pp. 2089-2099, 2000. · Zbl 0973.76082
[16] E. V. Kalabin, M. V. Kanashina, and P. T. Zubkov, “Natural-convective heat transfer in a square cavity with time-varying side-wall temperature,” Numerical Heat Transfer A, vol. 47, no. 6, pp. 621-631, 2005.
[17] A. J. Chamkha and A. Al-Mudhaf, “Double-diffusive natural convection in inclined porous cavities with various aspect ratios and temperature-dependent heat source or sink,” Heat and Mass Transfer/Waerme- und Stoffuebertragung, vol. 44, no. 6, pp. 679-693, 2008.
[18] G. Wang, Q. Wang, M. Zeng, and H. Ozoe, “Numerical study of natural convection heat transfer in an inclined porous cavity with time-periodic boundary conditions,” Transport in Porous Media, vol. 74, no. 3, pp. 293-309, 2008.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.