This paper introduces a theoretical and numerical study for the problem of Casson fluid flow and heat transfer over an exponentially variable stretching sheet. Our contribution in this work can be observed in the presence of thermal radiation and the assumption of dependence of the fluid thermal conductivity on the heat. This physical problem is governed by a system of ordinary differential equations (ODEs), which is solved numerically by using the differential transformation method (DTM). This numerical method enables us to plot figures of the velocity and temperature distribution through the boundary layer region for different physical parameters. Apart from numerical solutions with the DTM, solutions to our proposed problem are also connected with studying the skin-friction coefficient. Estimates for the local Nusselt number are studied as well. The comparison of our numerical method with previously published results on similar special cases shows excellent agreement.

中文翻译：

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实施 DTM 作为 Casson 流体流过具有热辐射的指数可变拉伸片的数值研究

本文介绍了对指数可变拉伸片上卡松流体流动和传热问题的理论和数值研究。我们在这项工作中的贡献可以在存在热辐射和假设流体热导率对热量的依赖性的情况下观察到。该物理问题由常微分方程 (ODE) 系统控制，该系统通过使用微分变换方法 (DTM) 进行数值求解。这种数值方法使我们能够针对不同的物理参数绘制通过边界层区域的速度和温度分布图。除了 DTM 的数值解决方案外，我们提出的问题的解决方案还与研究皮肤摩擦系数有关。还研究了当地努塞尔数的估计值。