Fluid flow induced by a travelling thermal wave in a saturated porous medium

Abstract

Axisymmetric free convection due to a travelling thermal wave Imposed on the circumference of a long vertical column of a fluid- saturated porous medium With Circular cross-section is studied analytically. Solutions far both the velocity and temperature fields are obtained using the long-wave approximation. The medium is assumed to be highly porous and the fluid saturating the medium Boussmesq incompressible. The interaction of the first-order fluctuations gives false to second-order mean in the velocity and temperature fields for which analytical solutions are obtained.