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Unsteady mixed convection flow from a moving vertical plate in a parallel free stream: Influence of heat generation or absorption

机译:平行自由流中来自移动垂直板的不稳定混合对流:热量产生或吸收的影响

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摘要

An unsteady mixed convection flow over a moving vertical plate in a parallel free stream is considered to investigate the combined effects of buoyancy force and thermal diffusion in presence of heat generation or absorption. The unsteadiness is introduced by the time dependent free stream velocity as well as by the moving plate velocity. The governing boundary layer equations are transformed into a non-dimensional form by a special group of non-similar transformations. The resulting system of coupled non-linear partial differential equations is solved by an implicit finite difference scheme in combination with the quasi-linearization technique. Computations are performed and numerical results are displayed graphically to illustrate the influence of the buoyancy (mixed convection) parameter, Prandtl number, the ratio of free stream velocity to the composite reference velocity and heat generation or absorption parameter on the velocity and temperature profiles. The numerical results for the local skin-friction coefficient and local Nusselt number are also presented. Present results are compared with previously published work and are found to be in excellent agreement. It is found that in presence of buoyancy force (λ > 0), the velocity profile exhibits velocity overshoot 80% more for lower Prandtl number (Pr = 0.7) as compared to the magnitude of the velocity overshoot for higher Prandtl number (Pr = 7.0).
机译:考虑在平行的自由流中移动的垂直板上的非定常混合对流,以研究在产生热量或吸收热量的情况下浮力和热扩散的综合作用。不稳定是由随时间变化的自由流速度以及移动板速度引起的。通过特殊的一组非相似转换将控制边界层方程式转换为无量纲形式。通过隐式有限差分方案结合准线性化技术,解决了耦合的非线性偏微分方程组的最终系统。进行计算并以图形方式显示数值结果,以说明浮力(混合对流)参数,Prandtl数,自由流速度与复合参考速度之比以及热量生成或吸收参数对速度和温度曲线的影响。还给出了局部皮肤摩擦系数和局部Nusselt数值的数值结果。将目前的结果与以前发表的工作进行比较,发现结果非常一致。发现存在浮力(λ> 0)时,速度曲线在较低的Prandtl数(Pr = 0.7)时比在较高的Prandtl数(Pr = 7.0)时表现出更高的速度超调量80% )。

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