The main purpose of this manuscript is to study an unsteady, MHD and free convection flow with the thermal transport for an electrical conducted, incompressible, and linearly viscous fluid flow close to a moving vertical plate in the existence of an exponential heating process. The flow area is considered permeable half-space as well as the utilization of an electromagnetic field perpendicular to fluid motion. The Caputo time-fractional derivative is utilized to present a heat flux constitutive-equation through a weak memory. The Laplace transformation technique is utilized to achieve the exact solutions of the dimensionless governing equations for the temperature field, Nusselt number, fluid velocity, and skin friction coefficient and stated in connection with Wright functions as well as a generalized G-Lorenzo-Hartley function. As a limiting case, a comparison with (Awan et al 2019 Chin. J. Phys. 60 98–106) equation (38) is done to verify the applied techn...

中文翻译：

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渗透介质上阻尼热通量作用下牛顿流体带电对流的热研究

该手稿的主要目的是研究在存在指数加热过程的情况下，热传导的不稳定，MHD和自由对流，该热传导用于接近运动的垂直板的导电，不可压缩和线性粘滞流体。流动区域被认为是可渗透的半空间，以及垂直于流体运动的电磁场的利用。Caputo时间分数导数用于通过弱记忆表示热通量本构方程。拉普拉斯变换技术用于获得温度场，努塞尔数，流体速度和皮肤摩擦系数的无量纲控制方程的精确解，并结合Wright函数以及广义G-Lorenzo-Hartley函数进行陈述。