A Computational Analysis of the Effect of Mass and Radiative Heat Transfer on Free Convective Boundary Layer Flow over a Vertical Plate

Aiyesimi Y.M, S. Abah, G. T. Okedayo
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Abstract

The effects of mass and radiative heat transfer on free convective flow of a viscous incompressible optically thick fluid towards a vertical surface have been investigated. The nonlinear non-dimensional, similarity-transformed boundary-layer equations governing the problem are solved using an efficient numerical method based on the Runge-Kutta integration scheme and shooting iteration technique. Numerical calculations were carried out for different values of the various non-dimensional quantities governing the flow regime. The analysis shows that the temperature decreases with increasing radiation parameter, N while an increase in the Prandtl number leads to a corresponding decrease in the temperature profile; a rise in the thermal Grasshof and the mass transfer number leads to increase in the velocity profile and a rise in the Schmidt number Sc leads to a decrease in the concentration profile.
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质量和辐射传热对垂直板上自由对流边界层流动影响的计算分析
研究了质量和辐射传热对粘性不可压缩光学厚流体向垂直表面自由对流流动的影响。采用基于龙格-库塔积分格式和射击迭代技术的有效数值方法,求解了控制该问题的非线性无量纲、相似变换的边界层方程。对控制流态的各种非量纲量的不同值进行了数值计算。分析表明,温度随辐射参数N的增加而降低,普朗特数的增加导致温度曲线相应降低;热格拉斯霍夫和传质数的增大导致速度剖面增大,施密特数Sc的增大导致浓度剖面减小。
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