The purpose of the present study is to establish the detailed parametric solutions
for laminar natural convection flow of two-phase dusty fluid moving along a vertical wavy
plate. Typical sinusoidal surface is used to elucidate the heat transport phenomena for
the carrier gas having variable thermophysical properties. The governing equations are
cast into a system of parabolic partial differential equations by using set of continuous
transformations and then the resulting system is integrated through implicit finite difference
method. In order to ensure the accuracy, the present numerical results are also compared
with the available published results and good compatibility is found between the present
and previous results. It is showed that mass concentration parameter, D_p, and the variable
thermophysical properties extensively promotes the rate of heat transfer near the uneven
surface. It is also established that amplitude of the wavy surface enhances very drastically,
which is also due to the variable properties of the fluid