A simple approach for evaluating the effect of wall suction and thermophoresis on aerosol particle deposition from a laminar flow over a flat plate

doi:10.1016/S0735-1933(99)00011-1

International Communications in Heat and Mass Transfer

Volume 26, Issue 2, February 1999, Pages 249-257

https://doi.org/10.1016/S0735-1933(99)00011-1 Get rights and content

Abstract

A simple approach for evaluating the effect of wall suction and thermophoresis on aerosol particle deposition from a laminar flow over a flat plate is proposed. The plate considered is a cold surface. The procedure is based on the concept of high-mass transfer with a blowing parameter. The thermophoresis is treated with two parts that include a suction-like convection term and a first-order reaction-like term. The results are easily calculated and have a very good agreement with the numerical solutions for self-similar boundary flow.

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Citation Excerpt :
Thermophoresis, the motion of suspended particles in a fluid induced by a temperature gradient, is of practical importance in a variety of industrial and engineering applications such as design of thermal precipitators, study on the behavior of soot or seeding particles in combustion systems, nuclear reactor safety, gas cleaning, chemical or physical vapor deposition and microcontamination control, etc. Due to the practical importance of thermophoresis phenomenon many researchers (Goren [12], Talbot et al. [13], Mills et al. [14], Jia et al. [15], Chiou and Cleaver [16], Tsai [17], Postelnicu [18] and the references therein) have studied and reported results on this topic considering various flow conditions in different geometries. Alam et al. [19–21] studied thermophoretic particle deposition on two dimensional hydromagnetic heat and mass transfer flow over an inclined flat plate with various flow conditions.
This paper investigates thermophoretic deposition of micron sized particles on unsteady forced convective heat and mass transfer flow due to a rotating disk. Using similarity transformations the governing nonlinear partial differential equations are transformed into a system of ordinary differential equations that are then solved numerically by applying Nachtsheim–Swigert shooting iteration technique along with sixth-order Runge–Kutta integration scheme. The effects of the pertinent parameters on the radial, tangential and axial velocities, temperature and concentration distributions, and axial thermophoretic velocity together with the local skin-friction coefficient, and local Nusselt number are displayed graphically. The inward axial thermophoretic deposition velocity (local Stanton number) is also tabulated. The obtained results show that axial thermophoretic velocity is increased with the increasing values of the thermophoretic coefficient, thermophoresis parameter, rotational parameter as well as unsteadiness parameter. The results also show that inward axial thermophoretic particle deposition velocity decreases with the increase of the Lewis number.

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A simple approach for evaluating the effect of wall suction and thermophoresis on aerosol particle deposition from a laminar flow over a flat plate

Abstract

J. Colloid Interface Sci.

J. Colloid Interface Sci.

J. Colloid Interface Sci.

Int. J. Heat Mass Transfer

Int. J. Heat Mass Transfer

J. Aerosol Sci.