<p>This study examines the boundary effects on the thermophoretic motion of a spherical particle in a spherical cavity filled with micropolar fluid. The solutions of the current problem are obtained analytically by utilizing boundary conditions such as temperature jump, heat flux continuation, viscous slip, thermal creep, and thermal stress slip under the assumptions of low Péclet and Reynolds numbers. The effect of micropolarity parameter, microrotation thermal conductivity parameter, viscous slip parameter, radii ratio of particle to cavity, and thermal conductivity ratio of particle to medium on thermoosmotic velocity, thermophoretic mobility, and normalized velocity is shown graphically. It is reported that the thermoosmotic velocity, mobility, and normalized thermophoretic velocity decline with the rise of the micropolarity parameter, microrotation thermal conductivity parameter, and radii ratio. The novelty of the work is to investigate the wall effect of movement of an aerosol sphere in a micropolar fluid. The deduction cases for Newtonian fluid with zero and nonzero thermal stress slip conditions are also obtained. This study provides important results for capturing soot particles on cold surfaces, which may be useful in cleaning air, and manufacturing precipitators are concerns with micropolar fluid.</p>

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Axisymmetric migration of an aerosol sphere in bounded micropolar fluid: thermophoresis effect

  • Shekhar Nishad,
  • Krishna Prasad Madasu

摘要

This study examines the boundary effects on the thermophoretic motion of a spherical particle in a spherical cavity filled with micropolar fluid. The solutions of the current problem are obtained analytically by utilizing boundary conditions such as temperature jump, heat flux continuation, viscous slip, thermal creep, and thermal stress slip under the assumptions of low Péclet and Reynolds numbers. The effect of micropolarity parameter, microrotation thermal conductivity parameter, viscous slip parameter, radii ratio of particle to cavity, and thermal conductivity ratio of particle to medium on thermoosmotic velocity, thermophoretic mobility, and normalized velocity is shown graphically. It is reported that the thermoosmotic velocity, mobility, and normalized thermophoretic velocity decline with the rise of the micropolarity parameter, microrotation thermal conductivity parameter, and radii ratio. The novelty of the work is to investigate the wall effect of movement of an aerosol sphere in a micropolar fluid. The deduction cases for Newtonian fluid with zero and nonzero thermal stress slip conditions are also obtained. This study provides important results for capturing soot particles on cold surfaces, which may be useful in cleaning air, and manufacturing precipitators are concerns with micropolar fluid.