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Flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slip

机译:在具有第二阶滑移的垂直可渗透拉伸/收缩片材上的流动和传热

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摘要

Steady flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slip is investigated using a second order slip flow model. Choosing appropriate similarity variables, the partial differential equations are transformed into ordinary (similarity) differential equations, which are then solved numerically using the function bvp4c from Matlab for different values of the governing parameters. The solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the suction and mixed convection parameters. A stability analysis has been performed to show that the upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and, therefore, not physically possible. The effects of the two mass suction and mixed convection parameters on the reduced skin friction coefficient, heat transfer from the surface of the sheet, dimensionless velocity and temperature distributions are presented graphically and discussed. These results clearly show that the second order slip flow model is necessary to predict the flow characteristics accurately.
机译:使用二阶滑流模型研究了具有二阶滑移的垂直可渗透拉伸/收缩片材上的稳态流动和传热。选择适当的相似变量,将偏微分方程转换为普通(相似)微分方程,然后使用Matlab中的函数bvp4c对控制参数的不同值进行数值求解。在一定的吸力和混合对流参数范围内,普通(相似)微分方程的解具有两个分支,即上分支解和下分支解。进行了稳定性分析,以显示上部分支解决方案是稳定的并在物理上可实现,而下部分支解决方案则不稳定,因此在物理上不可行。图形表示并讨论了两个质量吸力和混合对流参数对降低的皮肤摩擦系数,从片材表面传热,无量纲速度和温度分布的影响。这些结果清楚地表明,二阶滑流模型对于准确地预测流动特性是必要的。

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