Thermophoretic Motion of a Cylindrical Particle with Chemical Reactions

Figures & data

FIG. 1. Geometric sketch for the thermophoretic motion of a circular cylindrical particle bearing a chemical reaction in a gas prescribed with a uniform temperature gradient perpendicular to its axis.

FIG. 2. Plots of the normalized thermophoretic velocity U_x/U₀ of a cylindrical particle bearing a chemical reaction given by Equations (20) and (21) versus the heat generation parameter g for various values of the thermal conductivity ratio k*: (a) l/a = 0; (b) l/a = 0.1 with the solid and dashed curves representing the cases C_h = 0 and C_h = 1, respectively.

FIG. 3. Plots of the normalized thermophoretic velocity U_x/U₀ of a cylindrical particle bearing a chemical reaction given by Equations (20) and (21) versus the thermal conductivity ratio k* for various values of the heat generation parameter g: (a) l/a = 0; (b) l/a = 0.1 with the solid and dashed curves representing the cases C_h = 0 and C_h = 1, respectively.

FIG. 4. Plots of the normalized thermophoretic velocity U_x/U₀ of a cylindrical particle bearing a chemical reaction given by Equations (20) and (21) versus the Knudsen number l/a for various values of the heat generation parameter g: (a) k* = 100; (b) k* = 1. The solid and dashed curves denote the cases C_h = 0 and C_h = 1, respectively.

FIG. 5. Plots of the normalized thermophoretic velocity U_x/U₀ of a cylindrical particle bearing a chemical reaction given by Equations (20) and (21) with l/a = 0.1 versus the thermal stress slip coefficient C_h for various values of the heat generation parameter g (solid curves): (a) k* = 100; (b) k* = 1. The dashed curves are the corresponding results of a spherical particle computed using Equations (24) and (1) for comparison.

FIG. 6. Plots of the chemical-reaction correction factor L to the thermophoretic velocity in Equation (22) for a cylindrical particle as computed from Equation (23) (solid curves) and for a spherical particle as computed from Equation (32) (dashed curves) with C_h = 1 versus the Knudsen number l/a for various values of the thermal conductivity ratio k*.