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Original Articles

Thermophoresis of a particle in a concentric cavity with thermal stress slip

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Pages 269-276 | Received 02 Aug 2017, Accepted 24 Oct 2017, Published online: 27 Nov 2017

Figures & data

Figure 1. Geometrical sketch for the thermophoresis of an aerosol sphere in a concentric spherical cavity.

Figure 1. Geometrical sketch for the thermophoresis of an aerosol sphere in a concentric spherical cavity.

Figure 2. The normalized thermophoretic mobility of an aerosol sphere in a concentric spherical cavity versus the radius ratio for the case of , , and : (a) with as a parameter; (b) with as a parameter. The solid and dashed curves denote the temperature conditions of cavity specified by Equations (Equation4) and (Equation5) with and by Equation (Equation13), respectively.

Figure 2. The normalized thermophoretic mobility of an aerosol sphere in a concentric spherical cavity versus the radius ratio for the case of , , and : (a) with as a parameter; (b) with as a parameter. The solid and dashed curves denote the temperature conditions of cavity specified by Equations (Equation4[4] ) and (Equation5[5] ) with and by Equation (Equation13[13] ), respectively.

Figure 3. The normalized migration velocity of an aerosol sphere caused by the thermoosmotic flow circulation in a cavity with the temperature condition specified by Equations (Equation4) and (Equation5) versus the radius ratio for the case of , , , and : (a) with as a parameter; (b) with as a parameter. The solid and dashed curves are computed with and , respectively.

Figure 3. The normalized migration velocity of an aerosol sphere caused by the thermoosmotic flow circulation in a cavity with the temperature condition specified by Equations (Equation4[4] ) and (Equation5[5] ) versus the radius ratio for the case of , , , and : (a) with as a parameter; (b) with as a parameter. The solid and dashed curves are computed with and , respectively.

Figure 4. The dimensionless velocity of a confined aerosol sphere versus the radius ratio with as a parameter for the case of , , , , and : (a) with the temperature condition of cavity specified by Equations (Equation4) and (Equation5) and the solid and dashed curves denoting and , respectively; (b) with the temperature condition of cavity specified by Equation (Equation13) and the solid and dashed curves denoting and , respectively.

Figure 4. The dimensionless velocity of a confined aerosol sphere versus the radius ratio with as a parameter for the case of , , , , and : (a) with the temperature condition of cavity specified by Equations (Equation4[4] ) and (Equation5[5] ) and the solid and dashed curves denoting and , respectively; (b) with the temperature condition of cavity specified by Equation (Equation13[13] ) and the solid and dashed curves denoting and , respectively.

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