Authors: S M Mahfooz M A Hossain
Publish Date: 2012/03/07
Volume: 33, Issue: 3, Pages: 271-288
Abstract
This paper discusses the effect of thermophoretic particle deposition on the transient natural convection laminar flow along a vertical flat surface which is immersed in an optically dense gray fluid in the presence of thermal radiation In the analysis the radiative heat flux term is expressed by adopting the Rosseland diffusion approximation The governing equations are reduced to a set of parabolic partial differential equations Then these equations are solved numerically with a finitedifference scheme in the entire time regime The asymptotic solutions are also obtained for sufficiently small and large time The obtained asymptotic solutions are then compared with the numerical solutions and they are found in excellent agreement Moreover the effects of different physical parameters ie the thermal radiation parameter the surface temperature parameter and the thermophoretic parameter on the transient surface shear stress the rate of surface heat transfer and the rate of species concentration as well as the transient velocity temperature and concentration profiles are shown graphically for a fluid ie air with the Prandtl number of 07 at 20°C and 1013 × 105 Pa
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