A NUMERICAL APPROACH FOR THE STUDY OF HEAT GENERATION IN THE PRESENCE OF THERMAL BOUNDARY LAYER FOR A FLAT PLATE

D. M. Auwal, M. M. Gafai, A. A. Garba, Mustapha Shehu
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Abstract

In this study, we investigate the laminar boundary layer flow in two dimensions, steadiness, and incompressibility around a moving vertical flat plate in a uniform free stream of fluid with a convective surface boundary condition. The similarity transformation technique has been applied to convert the governing nonlinear partial differential equation into two nonlinear ordinary differential equations. By combining the finite difference method with the shooting technique, the problem is solved numerically. We present a tabular and graphical representation of the variation in dimensionless temperature and fluid-solid interface characteristics for various values of the Prandtl number. As a special case of the problem, a comparison between the current result and the previously published result demonstrates a good agreement.
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研究平板存在热边界层时热量产生的数值方法
在本研究中,我们研究了在具有对流表面边界条件的均匀自由流体中,围绕移动的垂直平板的二维层流边界层流、稳定性和不可压缩性。应用相似变换技术将支配非线性偏微分方程转换为两个非线性常微分方程。通过将有限差分法与射击技术相结合,对问题进行了数值求解。我们以表格和图形的形式展示了不同普朗特数值下无量纲温度和流固界面特性的变化。作为该问题的一个特例,当前结果与之前公布的结果进行了比较,结果表明两者非常吻合。
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