Thermophoresis-Brinkman flow of an aerosol particle within a spherical cavity

A semi-analytical study is presented for the thermophoretic migration of a spherical particle located at an arbitrary position in porous medium inside cavity. uniformly applied temperature gradient parallel to line connecting and cavity centers. The modeled as Brinkman fluid with characteristic Darcy permeability K that can be obtained directly from experimental data. assumed homogenous isotropic, solid matrix thermal equilibrium through voids medium. Knudsen number supposed small so flow described by continuum model jump, creep, frictional slip, stress slip surface aerosol particle. Reynolds enough justify use equation, which always satisfied because small. Péclet heat transfer thermophoresis also dimensionless velocity mobility coefficients are tabulated represented graphically various values parameter relative properties Results good agreement analytical solution particular case center