The present study describes the unsteady mixed convection nanofluid flow past a vertical shrinking porous surface in occurrence of slips and heat source/sink. Applying proper transformations, the foremost differential equations which are partial in nature are changed into non-linear differential equations which are ordinary in nature. With the support of Runge–Kutta method, shooting technique is used to find out the numerical solutions of the system of equations stated above. The effects of diverse leading parameters like unsteady parameter, velocity slip parameter, suction/injection parameter, thermal slip parameter, and heat source/sink parameter are offered and explained physically. Also, the coefficient of skin friction and rates of surface heat and mass transport for a number of parameters are investigated numerically.

中文翻译：

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纳米流体与任意形状纳米粒子在收缩片上的不稳定混合对流流动

本研究描述了在发生滑移和热源/汇时，不稳定的混合对流纳米流体流过垂直收缩的多孔表面。应用适当的变换，最前面本质上是偏的微分方程变成了本质上是普通的非线性微分方程。在Runge-Kutta方法的支持下，使用射击技术来寻找上述方程组的数值解。提供并解释了各种主要参数的影响，如非定常参数、速度滑移参数、吸入/注入参数、热滑移参数和热源/汇参数。此外，还对许多参数的皮肤摩擦系数和表面热量和质量传输速率进行了数值研究。