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首页> 外文期刊>Journal of Heat Transfer >Exact Solutions Corresponding to the Viscous Incompressible and Conducting Fluid Flow Due to a Porous Rotating Disk
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Exact Solutions Corresponding to the Viscous Incompressible and Conducting Fluid Flow Due to a Porous Rotating Disk

机译：精确的解决方案与多孔旋转盘引起的粘性不可压缩和传导流体流相对应

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摘要

A study is pursued in this paper for the evaluation of the exact solution of the steady Navier-Stokes equation, governing the incompressible viscous Newtonian, electrically conducting fluid flow motion over a porous disk, rotating at a constant angular speed. The three-dimensional equations of motion are treated analytically yielding to the derivation of exact solutions. The effects of the magnetic pressure number on the permeable flow field are better conceived from the exact velocity and induced magnetic field obtained. Making use of this solution, analytical formulas for the angular velocity and current density components, as well as for the magnetic wall shear stresses, are extracted. Interaction of the resolved flow field with the surrounding temperature is then analyzed via energy equation. The temperature field is shown to accord with the convection, viscous dissipation, and Joule heating. As a result, exact formulas are obtained for the temperature field, which takes different forms, depending on whether isothermal and adiabatic wall conditions or suction and blowing are considered.
机译：本文进行了一项研究，以评估稳态Navier-Stokes方程的精确解，该方程控制不可压缩的粘性牛顿流体，该流体在多孔盘上以恒定角速度旋转地传导流体流动。对三维运动方程进行分析处理，得出精确解。从精确的速度和所获得的感应磁场可以更好地构思出磁压数对可渗透流场的影响。利用该解决方案，提取了角速度和电流密度分量以及磁性壁切应力的解析公式。然后通过能量方程分析解析的流场与周围温度的相互作用。显示的温度场与对流，粘性耗散和焦耳热一致。结果，获得了温度场的精确公式，该公式采用不同形式，具体取决于是否考虑了等温和绝热壁条件或吸力和鼓风。

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