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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v7.i4.70
8 pages

Non-Darcy Free Convection from a Vertical Plate with Time-Periodic Surface Temperature Oscillations

Mohamed F. El-Amin
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258; King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia

ABSTRACT

In this article, the linearized theory is used to study the effect of small amplitude time-dependent surface temperature oscillations on free convection to a vertical plate embedded in a non-Darcy porous medium. Forchheimer extension is considered in the flow equations. The time-dependent perturbations are used to transform the governing equations to two groups — similar and nonsimilar, respectively. For the nonsimilar equations, the second-level local nonsimilarity method is used to convert it to a set of ordinary differential equations. The numerical solutions are obtained in the complex domain for a range of the non-Darcy parameter D and the frequency variable ξ.