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Cattaneo-Christov flux and entropy in thermofluidics involving shrinking surface

机译：Cattaneo-Christov助焊剂和熵在涉及缩小表面的热流体中

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摘要

The paper examines radiative Casson boundary layer flow over an exponentially shrinking permeable sheet in a Cattaneo-Christov heat flux environment. The sheet is placed at the bottom of the fluid-saturated porous medium and suction is applied normally to the sheet to contain the vorticity. The radiative heat flux in the energy equation is assumed to follow the Rosseland approximation. Similarity transformation is performed to convert the governing partial differential equations into ordinary differential equations. The resulting boundary value problem is treated numerically employing Runge-Kutta fourth-order integration scheme along with the shooting method. The effects of pertinent parameters on quantities of interest are showcased graphically/in tabular form and are discussed. The dual profiles for velocity and temperature lead to a dual solution regime for entropy. It is found that critical mass suction rate and Nusselt number are substantially responsive to various parameters' values. Critical suction values decrease with a rise in Casson parameter β and permeability parameter K. Skin friction coefficient and Nusselt number show peculiar behavior for distinct branches of solutions.
机译：本文在Cattaneo-Christov热通量环境中，在指数收缩的可渗透板上探讨了辐射的腺边界层流动。将片材放置在流体饱和的多孔介质的底部，并且在纸张上通常施加抽吸以含有涡流。假设能量方程中的辐射热通量遵循rosseland近似。执行相似性转换以将控制局部微分方程转换为常微分方程。得到的边界值问题是在数值上采用Runge-Kutta四阶集成方案以及拍摄方法处理的边界值问题。相关参数对感兴趣量的影响以图形方式/以表格形式展示并讨论。用于速度和温度的双配置导致熵的双解决方案。发现临界质量抽吸速率和纽带数基本上对各种参数值敏锐。 Casson参数β和渗透性参数K的临界吸入值随着Casson参数β和渗透率参数K.皮肤摩擦系数和纽带数显示了不同分支的解决方案的特殊行为。

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