Thermophoresis deposition studies for NaCl and diesel exhaust particulate matter under laminar flow

Bhusnoor, Siddappa S.; Bhandarkar, Upendra; Sethi, Virendra; Parikh, P.P.

doi:10.1016/j.jaerosci.2016.11.011

Cited by 15 publications

(1 citation statement)

References 26 publications

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“…This thermal creep phenomenon (Maxwell 1879) provides a mechanism in the slip-flow regime for the thermophoresis of aerosol particles and thermoosmosis of bounded gases with the Knudsen number l 6 a of the order 0.1, where a is the linear dimension of the particles or boundaries and l is the mean free path of the gas molecules. Thermophoresis (viz., the Soret effect), which is the particle motion caused by a bulk-gas temperature gradient against its direction (i.e., from hot to cold), plays an important role in many practical applications such as aerosol sampling, air cleaning, microelectronic manufacturing, scale formation on heat exchanger surfaces, nuclear reactor safety, modified chemical vapor deposition, and catalysis-driven plasmonic nanomotors (Balsara and Subramanian 1987;Williams and Loyalka 1991;Chang and Keh 2010a,b;Hsieh and Keh 2012;Sagot 2013;Guha and Samanta 2014;Wu et al 2015;Bhusnoor et al 2017;Qin et al 2017).…”

Section: Introductionmentioning

confidence: 99%

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

Keh

2017

Aerosol Science and Technology

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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.

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