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Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

机译：由于具有热辐射和质量蒸腾作用的多孔拉伸/收缩片而产生的流动

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This study investigates the behavior of carbon nanotubes (CNT) approaching an unsteady flow of a Newtonian fluid over a stagnation point on a stretching surface employing porous media. It flows when the liquid begins to move with the progression of time. Heat exchange with the environment has an impact on the flow. The implicitly limited component technique is used to solve the nondimensional partial differential equation with an associated boundary layer, which is an unstable system. Analytically, the solutions, as well as the required boundary conditions, are obtained. The effects of mass transpiration, volume fraction, and heat radiation on Newtonian fluid flow through porous media are explored. Single- and multi-walled CNTs are used as well as water, as base fluids in the experiment. The impact of thermal radiation and heat source/sink is shown in the energy equation, which is solved under four different cases: uniform heat flux case, constant wall temperature case, general power-law wall heat flux case, and general power-law wall temperature case. By supplying distinct physical characteristics, a theoretical analysis of the existence and nonexistence of unique and dual solutions may be explored. These physical parameters determine the velocity distribution and temperature distribution. Prescribed surface temperature (PST) and prescribed wall heat flux (PHF) heat transfer solutions can be written using confluent hypergeometric equations, and generic power-law PST and PHF situations can also be expressed using confluent hypergeometric equations. The graphical representations assist in the discussion of the current study's findings.
机译：本研究主要探讨碳的行为碳纳米管(CNT)接近的非定常流牛顿流体在一个驻点拉伸表面采用多孔介质。当液体开始流动与移动发展的时间。环境影响。组件技术是用于隐式有限解决无量纲偏微分与一个关联的边界层方程,是一个不稳定的系统。解决方案,以及所需的边界条件,得到。蒸腾、体积分数和热量辐射对牛顿流体流经多孔媒体研究。以及水,用作基础液体的吗实验。热源/水槽所示的能量方程,这是解决了四种不同的情况下:均匀热流情况,恒壁温情况下,热流情况,一般幂律一般的幂律壁温情况。提供不同的物理特性,的存在和理论分析不存在独特的和双可能的解决方案探索。速度分布和温度分布。(PST)和规定的墙热通量(公积金)热量传输解决方案可以编写使用汇合的超几何方程,一般的幂律PST和公积金的情况下也可以表达利用合流超几何方程。图形化表示协助讨论当前的研究结果。

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