This paper presents the flow and heat transfer characteristics of an electrically conducting Casson fluid past an exponentially stretching curved surface with convective boundary condition. The fluid motion is assumed to be laminar and time dependent. The effects of temperature-dependent thermal conductivity, Joule heating, thermal radiation, and variable heat source/sink are deemed. Suitable transformations are considered to transform the governing partial differential equations as ordinary ones and then solved by the numerical procedures like shooting and Runge–Kutta method. Graphs are outlined to describe the influence of various dimensionless parameters on the fields of velocity and temperature and observe that there is an enhancement in the field of temperature with the radiation, temperature-dependent thermal conductivity, and irregular heat parameters. Also, the Casson parameter has a tendency to suppress the distribution of momentum but an inverse development is noticed for the curvature parameter. Attained outcomes are also compared with the existing literature in the limiting case, and good agreement is perceived.

中文翻译：

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热辐射对MHD Casson流体在指数拉伸弯曲板上的流动的影响

本文介绍了具有对流边界条件的导电Casson流体经过指数拉伸弯曲表面的流动和传热特性。假定流体运动是层流的并且与时间有关。考虑了随温度变化的导热系数，焦耳加热，热辐射和可变热源/散热片的影响。考虑了适当的变换，以将控制的偏微分方程组转换为普通的微分方程组，然后通过数值方法（例如射击和Runge-Kutta方法）求解。概述了图表以描述各种无量纲参数对速度和温度场的影响，并观察到随着辐射，温度相关的热导率，温度场的增强，和不规则的热量参数。而且，卡森参数具有抑制动量分布的趋势，但是注意到曲率参数的逆发展。在极限情况下，还可以将获得的结果与现有文献进行比较，并且可以很好地达成共识。