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Numerical investigation on 2D viscoelastic fluid due to exponentially stretching surface with magnetic effects: an application of non-Fourier flux theory

机译:具有磁性效应的二维拉伸表面引起的二维粘弹性流体的数值研究:非傅立叶通量理论的应用

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摘要

Two-dimensional flow of Casson fluid toward an exponentially stretched surface in view of Cattaneo–Christove flux theory is discoursed in current communication. Flow pattern within boundary layer under the effectiveness of magnetic field is also contemplated in the communication. Non-dimensionalized governing expressions are attained through transformation procedure. To anticipate the fascinating features of present work, solution of resulted nonlinear differential system is computed with the collaborated help of shooting scheme and Runge–Kutta method. The influence of involved variables on velocity and temperature fields is scrutinized. Contribution of thermal relaxation is explicitly pointed out. Evaluation of convective heat transfer and friction factor in the fluid flow is visualized through graphs and tables. Additionally, the assurance of present work is affirmed by developing comparison with previous findings in the literature which sets a trade mark for the implementation of numerical approach. It is inferred from the thorough examination of the analysis that present formulation reduces to classical Fourier’s problem by considering Λ=0. Furthermore, decreasing pattern in temperature distribution is depicted in the presence of Cattaneo–Christove flux law as compared to heat transfer due to the Fourier’s law.
机译:鉴于Cattaneo-Christove通量理论,Casson流体向着指数拉伸表面的二维流动在当前的交流中已被讨论。通信中还考虑了在磁场作用下边界层内的流动模式。通过转换过程可以获得无量纲的控制表达式。为了预测当前工作的迷人之处,在射击方案和Runge-Kutta方法的共同帮助下,计算了所得非线性微分系统的解。仔细研究了相关变量对速度和温度场的影响。明确指出了热弛豫的贡献。通过图形和表格可以直观地评估对流传热和流体流动中的摩擦系数。此外,通过与文献中以前的发现进行比较来肯定当前工作的安全性,后者为实施数字方法设置了商标。从对分析的透彻检查中可以得出,通过考虑 Λ = 0 。此外,与傅立叶定律引起的传热相比,在Cattaneo-Christove通量定律的存在下,温度分布的下降形式有所描述。

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