The Stokes problem for a dusty fluid in the presence of magnetic field, heat generation and wall suction effects

This work focuses on the laminar flow of a two-phase particulate suspension induced by a suddenly accelerated infinite vertical permeable surface in t he Presence of fluid buoyancy, magnetic field, heat generation or absorptio n, and surface suction or blowing effects. The governing equations for this modified Stokes problem are developed based on the continuum representatio n of both the fluid and the particle cloud Appropriate dimensionless variab les are introduced The resulting dimensionless equations ave solved numeric ally by an accurate implicit finite-difference method for two situations. T he first case corresponds to an impulsive start of the surface from rest wh ile the second case corresponds to a uniformly accelerated surface. The num erical results for these cases are illustrated graphically. Comparisons wit h previously published work are performed and the results are found to be i n good agreement. Typical fluid and Particle-phase velocity and temperature distributions as well as wall shear stress and heat transfer results are r eported for various values of the particle loading, Hartmann number wall ma ss transfer coefficient and the heat generation or absorption coefficient.