聚合物层流边界层传热
Heat transport by laminar boundary layer flow with polymers
摘要：
最近的实验观察的动机，我们认为一个稳态的普朗特-布拉修斯边界层流与聚合物上面稍微加热的水平板和研究如何热传输可能会受到影响的聚合物。我们讨论了如何一组方程可以推导出的问题，以及如何这些方程可以通过数值求解的迭代方案。通过执行这样一个计划，我们发现，聚合物的效果相当于产生一个空间依赖性的有效粘度，首先增加从零剪切值在板，然后迅速降低到零剪切值远离板。我们进一步表明，这种有效的粘度导致阻力的增强，这反过来又导致热传输的减少。
英文摘要：
Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal plate and study how the heat transport might be affected by the polymers. We discuss how a set of equations can be derived for the problem and how these equations can be solved numerically by an iterative scheme. By carrying out such a scheme, we find that the effect of the polymers is equivalent to producing a space-dependent effective viscosity that first increases from the zero-shear value at the plate then decreases rapidly back to the zero-shear value far from the plate. We further show that such an effective viscosity leads to an enhancement in the drag, which in turn leads to a reduction in heat transport.
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