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首页> 外文期刊>Meccanica: Journal of the Italian Association of Theoretical and Applied Mechanics >Locally similar solutions for hydromagnetic and thermal slip flow boundary layers over a flat plate with variable fluid properties and convective surface boundary condition
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Locally similar solutions for hydromagnetic and thermal slip flow boundary layers over a flat plate with variable fluid properties and convective surface boundary condition

机译：具有可变流体特性和对流表面边界条件的平板上的磁流体和热滑流边界层的局部相似解

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摘要

This paper presents heat transfer process in a two-dimensional steady hydromagnetic convective flow of an electrically conducting fluid over a flat plate with partial slip at the surface of the boundary subjected to the convective surface heat flux at the boundary. The analysis accounts for both temperature-dependent viscosity and temperature dependent thermal conductivity. The local similarity equations are derived and solved numerically using the Nachtsheim-Swigert iteration procedure. Results for the dimensionless velocity, temperature and ambient Prandtl number within the boundary layer are displayed graphically delineating the effect of various parameters characterizing the flow. The results show that momentum boundary layer thickness significantly depends on the surface convection parameter, Hartmann number and on the sign of the variable viscosity parameter. The results also show that plate surface temperature is higher when there is no slip at the plate compared to its presence. For both slip and no-slip cases surface temperature of the plate can be controlled by controlling the strength of the applied magnetic field. In modelling the thermal boundary layer flow with variable viscosity and variable thermal conductivity, the Prandtl number must be treated as a variable ir-respective of flow conditions whether here is slip or no-slip at the boundary to obtain realistic results.
机译：本文提出了一种在平板上的导电流体的二维稳态水磁对流中的传热过程，该平面在边界表面受到部分对流表面热通量的作用下，在边界表面出现部分滑移。该分析考虑了与温度有关的粘度和与温度有关的热导率。使用Nachtsheim-Swigert迭代过程推导和求解局部相似性方程。边界层内无因次速度，温度和环境Prandtl数的结果以图形方式显示，描绘了表征流量的各种参数的影响。结果表明，动量边界层厚度显着取决于表面对流参数，哈特曼数和可变粘度参数的符号。结果还表明，与不存在板块相比，当板上无打滑时，板块表面温度更高。对于滑动和不滑动两种情况，都可以通过控制施加的磁场强度来控制板的表面温度。在对具有可变粘度和可变导热系数的热边界层流动进行建模时，必须将Prandtl数视为变量，而不管流动条件是在边界处是滑移还是不滑移，以获得真实的结果。

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