International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 72, Pages 3975-3988

Numerical solution of Stokes problem for free convection effects in dissipative dusty medium

V. Venkataraman and K. Kannan

Shanmugha Arts, Science, Technology and Research Academy (SASTRA), Deemed University, Tirumalaisamudram, Thanjavur 613402, Tamil Nadu, India

Received 10 August 2004

Copyright © 2004 V. Venkataraman and K. Kannan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The flow past an infinite vertical isothermal plate started impulsively in its own plane in a viscous incompressible two-phase fluid has been considered by taking into account the viscous dissipative heat. The coupled nonlinear equations governing the flow are solved for fluid and particle phases by finite difference method. The velocity and temperature fields have been shown graphically for G being positive for dusty air and it was observed that the same results hold for water. (G denotes the Grashof number and G>0 corresponds to cooling of the plate by free convection currents.) The results for G<0 (heating of the plate) have been verified and discussed. The numerical values of skin friction and the rate of heat transfer of dusty fluid are shown in tables. The effects of G and E (the Eckert number) on the flow field are discussed. It is observed that dusty fluid causes an increase in skin friction. The increase in mass concentration of dust particles decreases the heat transfer rate. The presence of inert particles does not admit the reverse type of flow even for large values of t.