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 n.