Conduction-Radiation Effect on Transient Natural Convection Along a Vertical Flat Surface With Thermophoresis

S.Mustafa Mahfooz; Md.Anwar Hossain

doi:10.3879/j.issn.1000-0887.2012.03.001

Volume 33 Issue 3

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S.Mustafa Mahfooz, Md.Anwar Hossain. Conduction-Radiation Effect on Transient Natural Convection Along a Vertical Flat Surface With Thermophoresis[J]. Applied Mathematics and Mechanics, 2012, 33(3): 265-279. doi: 10.3879/j.issn.1000-0887.2012.03.001

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Conduction-Radiation Effect on Transient Natural Convection Along a Vertical Flat Surface With Thermophoresis

doi: 10.3879/j.issn.1000-0887.2012.03.001

Department of Mathematics, COMSATS Institute of Information Technology,Park Road, Chak Shahzad, Islamabad 44000, Pakistan

Received Date: 2011-06-28
Rev Recd Date: 2011-12-01
Publish Date: 2012-03-15

Abstract

Abstract

The present paper concerns with the effect of thermophoretic particle deposition on the transient natural convection laminar flow along a vertical flat surface which was immersed in an optically dense gray fluid in the presence of thermal radiation. In the analysis the radiative heat flux term was expressed by adopting the Rosseland diffusion approximation. The governing equations were reduced to a set of parabolic partial differential equations which were then solved numerically with a finite difference scheme in the entire time regime,0 ≤τ < ∞.Asymptotic solutions were also obtained for sufficiently small and large times. Excellent agreement was found between the asymptotic and the numerical solutions. Moreover, the effects of different physical parameters, namely the thermal radiation parameter R_d,the surface temperature parameter θ_w, and the thermophoretic parameter λ,on the transient surface shear stress τ_w,the rate of surface heat transfer q_w, and the rate of species concentration m_w as well as on the transient velocity, temperature and concentration profiles were shown graphically for a fluid as air for which the Prandtl number Pr is 0.7 at 20℃ and 1 atm pressure.
- radiation,
- optically dense fluid,
- thermophoresis,
- transient natural convection

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References(37)

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