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首页> 外文期刊>European Physical Journal Plus >Heat transfer in the boundary layer flow of a Casson fluid over a permeable shrinking sheet with viscous dissipation
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Heat transfer in the boundary layer flow of a Casson fluid over a permeable shrinking sheet with viscous dissipation

机译：卡森流体在具有粘性耗散的可渗透收缩片上的边界层流中的传热

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摘要

In this paper the dual solutions in the flow of a Casson fluid over a porous shrinking surface are numerically discussed. Viscous dissipation in the heat transfer analysis is presented. Appropriate similarity transformations are used to convert governing nonlinear partial differential equations of flow and heat transfer into the system of nonlinear ordinary differential equations. The shooting technique with the Runge-Kutta method is employed to solve the resulting equations. Graphical results for dimensionless velocity and temperature are reported and examined very carefully. The study reveals that the existence of dual solutions is possible for some range of the suction parameter. For both solutions, the momentum boundary layer thickness decreases with the Casson fluid parameter. The thermal boundary layer thickness decreases with the Prandtl number and increases with the Eckert number (in both solutions). Further, the thermal boundary layer thickness decreases with increasing values of wall mass suction for the first solution, whereas it increases with increasing values of the mass suction parameter for the second solution.
机译：在本文中，对卡森流体在多孔收缩表面上流动的双重解进行了数值讨论。介绍了传热分析中的粘性耗散。适当的相似变换可用于将流动和传热的控制非线性偏微分方程转换为非线性常微分方程组。采用Runge-Kutta方法的射击技术来求解所得方程。报告并仔细检查了无因次速度和温度的图形结果。研究表明，对于一定范围的吸力参数，可能存在双重解。对于这两种解决方案，动量边界层厚度随卡森流体参数而减小。在两种溶液中，热边界层的厚度随Prandtl数而减小，随Eckert数而增大。此外，对于第一溶液，热边界层厚度随着壁质量吸力值的增加而减小，而对于第二溶液，热边界层厚度随壁质量吸力参数的值的增加而增加。

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