thermal marangoni convection of two-phase dusty fluid flow along a vertical wavy surface

The paper considers the influence of thermal marangoni convection on boundary layer flow of two-phase dusty fluid along a vertical wavy surface. the dimensionless boundary layer equations for two-phase problem are reduced to a convenient form by primitive variable transformations (pvf) and then integrated numerically by employing the implicit finite difference method along with the thomas algorithm. the effect of thermal marangoni convection, dusty water and sinusoidal waveform are discussed in detail in terms of local heat transfer rate, skin friction coefficient, velocity and temperature distributions. this investigation reveals the fact that the water-particle mixture reduces the rate of heat transfer, significantly.