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

Abstract

This work focuses on the laminar flow of a two‐phase particulate suspension induced by a suddenly accelerated infinite vertical permeable surface in the presence of fluid buoyancy, magnetic field, heat generation or absorption, and surface suction or blowing effects. The governing equations for this modified Stokes problem are developed based on the continuum representation of both the fluid and the particle cloud. Appropriate dimensionless variables are introduced. The resulting dimensionless equations are solved numerically by an accurate implicit finite‐difference method for two situations. The first case corresponds to an impulsive start of the surface from rest while the second case corresponds to a uniformly accelerated surface. The numerical results for these cases are illustrated graphically. Comparisons with previously published work are performed and the results are found to be in good agreement. Typical fluid‐ and particle‐phase velocity and temperature distributions as well as wall shear stress and heat transfer results are reported for various values of the particle loading, Hartmann number, wall mass transfer coefficient and the heat generation or absorption coefficient.

Citation

Chamkha, A.J. (2000), "The Stokes problem for a dusty fluid in the presence of magnetic field, heat generation and wall suction effects", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 10 No. 1, pp. 116-133. https://doi.org/10.1108/09615530010297958