Thermophoresis and Photophoresis of an Aerosol Cylinder with Thermal Stress Slip

Chang, Yi‐Chung; Keh, Huan J.

doi:10.7726/ajhmt.2017.1006

Cited by 2 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The kinetic theory of gases suggests a relation between the velocity slip v slip at a solid surface across the Knudsen layer and the heat flux q, viscous stress t, as well as second-order temperature gradient rrT in the slip-flow regime as (Maxwell 1879;Sone 1972;Lockerby 2004;Chang and Keh 2017) v slip D ¡ C s h rTk .I ¡ nn/Áq C C m l h .I ¡ nn/n :…”

Section: Introductionmentioning

confidence: 99%

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

Keh

2017

Aerosol Science and Technology

Self Cite

View full text Add to dashboard Cite

The thermophoretic motion of a spherical particle situated at the center of a spherical cavity filled with a gaseous medium under a prescribed temperature gradient is studied analytically. The Knudsen number is small for the gas motion in the slip-flow regime, and the temperature jump, thermal creep, frictional slip, and particularly, thermal stress slip are allowed on the solid surfaces. After solving the equations of heat conduction and fluid motion, an explicit formula for the migration velocity of the confined particle is obtained for different temperature conditions of the cavity with arbitrary values of the particle-to-cavity radius ratio and other parameters. Contributions from the thermoosmotic flow along the cavity wall and from the wall-corrected thermophoretic force to the particle velocity are equivalently important and can be linearly superimposed. With either or both of these contributions, the particle velocity in general is a decreasing function of the particle-to-cavity radius ratio and vanishes in the limit. The effects of the thermal stress slip at the solid surfaces to the migration velocity of the confined particle can be significant and interesting, dependent on the thermal and interfacial properties of the particle and surrounding gas. The wall effect on the thermophoretic migration of the particle in a cavity is qualitatively different from that on the motion of the particle in a circular tube.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Keh

2017

Aerosol Science and Technology

Self Cite

View full text Add to dashboard Cite

show abstract

Thermophoresis migration of an aerosol spherical particle embedded in a Brinkman medium at small non-zero Péclet numbers

Faltas,

Sherief,

Ismail

2023

Physics of Fluids

View full text Add to dashboard Cite

The method of matched asymptotic expansions is used to investigate the problem of thermophoresis migration of an aerosol spherical particle immersed in a porous medium saturated by a viscous fluid at a small non-zero Péclet number Pe. A uniform temperature gradient is imposed on the system parallel to the diameter of the particle in the opposite direction of z axis. It is assumed that the Knudsen number is in the range of the slip fluid flow through the pores of the porous medium and is compatible with the assumption of the continuum model. The porous medium is modeled by the Brinkman equation and is assumed to be homogenous and isotropic, and the solid matrix is in thermal equilibrium with the fluid through the voids of the medium. In the analysis of motion, the thermal stress slip is considered in addition to the temperature jump, the thermal creep, and the frictional slip. The thermophoretic velocity of the particle is obtained in the closed form up to order Pe3 as a function of the thermal properties of the system and the permeability of the porous medium. The present asymptotic analytical solutions can be viewed as an effective method for checking the numerical schemes for future work on arbitrary values of the Péclet number. The limiting case of the thermophoretic velocity for the Stokes clear fluid is recovered.

show abstract

Thermophoresis and Photophoresis of an Aerosol Cylinder with Thermal Stress Slip

Cited by 2 publications

References 28 publications

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

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

Thermophoresis migration of an aerosol spherical particle embedded in a Brinkman medium at small non-zero Péclet numbers

Contact Info

Product

Resources

About