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Micropolar mixed convective flow with Cattaneo-Christov heat flux: Non-fourier heat conduction analysis

机译:与Cattaneo-Christov热量通量的微息混合对流流量:非傅里叶热传导分析

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摘要

The purpose of this study is to investigate the impact of thermal relaxation time on the mixed convection flow of non-Newtonian micropolar fluid over a continuously stretching sheet of variable thickness in the presence of transverse magnetic field. An innovative and modified form of Fourier’s law, namely, Cattaneo-Christov heat flux is employed in the energy equation to study the characteristics of thermal relaxation time. The governing equations are transformed into ODE, using similarity transformations. Fourth order Runge-Kutta numerical method is used to solve these equations. The effects of relevant parameters such as a micro-rotation parameter, magnetic parameter, thermal relaxation parameter, Prandtl number, surface thickness parameter, and mixed convection parameter, on the physical quantities are graphically presented. Results illustrate that fluid temperature enhances with the rise of thermal relaxation parameter, but it reduces with an increase in micro-rotation parameter. The skin friction decreases with a rise in micro-rotation and micro-element parameters. However, variation in the rate of heat transfer is quite significant for small values of thermal relaxation parameter.
机译:本研究的目的是研究热弛豫时间在存在横向磁场的存在下在连续拉伸厚度的连续拉伸薄片上的非牛顿微极流体混合对流流的影响。一种创新和修改的傅立叶定律形式,即Cattaneo-Christov热通量在能量方程中使用,以研究热松弛时间的特点。使用相似性转换,控制方程被转换为ode。第四阶runge-Kutta数值方法用于解决这些方程。在图形上呈现了相关参数,例如微旋转参数,磁性参数,热弛豫参数,Prandtl号,表面厚度参数和混合对流参数的影响。结果说明了流体温度随着热弛豫参数的升高而增强,但随着微旋转参数的增加,它减少。皮肤摩擦随着微旋转和微元素参数的升高而降低。然而,热传递速率的变化对于少量热弛豫参数来说非常重要。

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