الفهرس 
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Abstract
The quasisteady thermophoretic motion of a spherical aerosol particle situated at an arbitrary position in a microchannel with naturally permeable plane walls bounding a porous medium is studied semianalytically. The applied temperature gradient is constant and perpendicular to the walls of the channel. The appropriate field equations of energy and momentum for the system are solved using a boundary collocation technique in the limit of small Péclet and Reynolds numbers. The effect of thermal stress slip at the surface of the particle is included in this paper in addition to temperature jump, thermal creep, and frictional slip. This paper is motivated by a wide variety of flows such as the deposit of particles in reverse osmosis processes, dialysis, or various biological organs where fluid passes through membranes or cell walls. The collocation results of the normalized thermophoretic velocity are obtained with adequate accuracy for a wide range of values of the relative thermal conductivity, permeability of the walls, and surface properties of the particle.