A numerical study for heat and fluid flow of couple stress fluid over a spiraling disk by Legendre wavelet spectral collocation method,ZAMM - Journal of Applied Mathematics and Mechanics

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A numerical study for heat and fluid flow of couple stress fluid over a spiraling disk by Legendre wavelet spectral collocation method
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2020-06-05 , DOI: 10.1002/zamm.201900220
M. N. Sadiq ₁ , M. Sajid ₁ , T. Javed ₁ , N. Ali ₁

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This article aims to explore the spiraling motion of a couple stress fluid over a disk rotating and radially stretching simultaneously. The spiraling motion is developed through the uniform rotation of the disk in addition to radial stretching. The logarithmic spirals in the disk velocity are produced due to the combined effects of stretching and rotation. The similarity transformations are invoked to obtain the coupled ordinary differential equations representing the flow. A Legendre wavelet spectral collocation method (LWSM) is employed for obtaining numerical solutions to analyze the effects of the pertinent parameters on the flow. The quantities of physical interest, i.e., radial and azimuthal skin friction coefficients, the wall shear stress, and the heat transfer rate are computed for the various values of the spiral angle, spiraling parameter, and couple stress parameter. It is found that enhancing the spiral angle declines the radial skin friction while enhancing azimuthal skin friction and the total wall shear stress. The temperature of the fluid is decreased for increasing the spiraling parameter and spiral angle, but increases for large couple stress parameter.

中文翻译：

勒让德小波谱配点法对耦合应力流体在螺旋盘上的热流流动的数值研究

本文旨在探讨磁盘上同时旋转并径向拉伸的一对应力流体的螺旋运动。除径向拉伸外，还通过盘的均匀旋转产生螺旋运动。圆盘速度的对数螺旋是由于拉伸和旋转共同作用而产生的。调用相似性变换以获得代表流的耦合常微分方程。采用勒让德小波谱配点方法（LWSM）来获得数值解，以分析相关参数对流动的影响。针对各种螺旋角值，计算出物理上感兴趣的量，即径向和方位角的皮肤摩擦系数，壁剪切应力和传热速率，螺旋参数和耦合应力参数。发现增加螺旋角可减小径向皮肤摩擦，同时可增加方位角皮肤摩擦和总壁切应力。降低流体温度以增加螺旋参数和螺旋角，但增加流体温度以增大耦合应力参数。

更新日期：2020-06-05

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