A mathematical analysis of unsteady flow and heat transfer in a porous medium. (English) Zbl 0577.76084
Summary: The unsteady two-dimensional free convective flow through a porous medium bounded by an infinite vertical plate is considered when the temperature of the plate is oscillating with time about a constant nonzero mean. The problem is solved by developing two asymptotic expansions in powers of the frequency parameter \(\omega\). For small values of \(\omega\), a regular expansion is obtained, and for a large frequency parameter the method of matched asymptotic expansion is used. The effects of the frequency parameter \(\omega\), the permeability parameter K and the amplitude parameter \(\epsilon\) on the velocity and the temperature fields are discussed.
MSC:
| 76R10 | Free convection |
| 76S05 | Flows in porous media; filtration; seepage |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
temperature oscillation with nonzero mean; unsteady two-dimensional free convective flow; porous medium bounded by an infinite vertical plate; regular expansion; matched asymptotic expansionReferences:
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