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Flow and heat simultaneously induced by two stretchable rotating disks

机译：由两个可伸缩旋转盘同时感应的流动和热量

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An exact solution for the steady state Navier-Stokes equations in cylindrical coordinates is presented in this work. It serves to investigate the fluid flow and heat transfer occurring between two stretchable disks rotating co-axially at constant distance apart. The governing equations of motion and energy are first transformed into a set of nonlinear differential equation system by the use of von Karman similarity transformations, which are later solved numerically. The small Reynolds number case allows us to extract closed-form solutions for the physical phenomenon. The effects of the same or opposite direction rotation, as well as the stretching parameter and the Reynolds number, are discussed on the flow and heat characteristics. The main physical implication of the results is that stretching action of a disk surface alters considerably the classical flow behavior occurring between two disks and the physically interesting quantities like the torque and heat transfer are elucidated in the presence of a new physical mechanism; that is the surface stretching in the current research. (C) 2016 AIP Publishing LLC.
机译：在这项工作中给出了稳态Navier-Stokes方程在圆柱坐标系下的精确解。它用于研究在以恒定距离间隔同轴旋转的两个可拉伸圆盘之间发生的流体流动和传热。运动和能量的控制方程首先通过使用von Karman相似变换转换为一组非线性微分方程组，然后对其进行数值求解。雷诺数小的情况使我们能够提取物理现象的封闭形式的解。讨论了相同或相反方向的旋转以及拉伸参数和雷诺数对流动和热特性的影响。结果的主要物理含义是，圆盘表面的拉伸作用极大地改变了两个圆盘之间发生的经典流动行为，并且在存在新的物理机制的情况下阐明了物理上有意义的量，例如扭矩和热传递。这是当前研究中的表面拉伸。 （C）2016 AIP出版有限责任公司。

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