Heat transport into a shear flow at high Peclet number

J. Keller
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Abstract

Heat transport from a heated convex region on an otherwise insulating plane, into a fluid in shear flow along the plane, is considered. The asymptotic form of the temperature distribution is determined for large values of the Peclet number sL2/k where s is the shear rate of the flow, L is a typical dimension of the heated region and k is the thermal diffusivity of the fluid. From it the asymptotic form of the total heat transport is obtained. Although the shape of the region is arbitrary, the solution is constructed by using previous results for the special case of a heated strip with its edges normal to the flow.
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高佩莱特数剪切流的热输运
热传输从加热凸区域在另一个绝缘平面,进入流体剪切流动沿平面,被考虑。当Peclet数sL2/k较大时,温度分布的渐近形式确定,其中s为流动的剪切速率,L为受热区域的典型尺寸,k为流体的热扩散系数。由此得到了总热输运的渐近形式。尽管该区域的形状是任意的,但对于边缘垂直于流动的加热带材的特殊情况,可以使用先前的结果来构造该解。
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