Unsteady hydromagnetic chemically reacting mixed convection flow over a permeable stretching surface with slip and thermal radiation

Mitiku Daba , Ponnaian Devaraj
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引用次数: 12

Abstract

The present investigation deals with unsteady hydromagnetic chemically reacting mixed convection flow of incompressible viscous fluid past a vertically moving permeable stretching sheet in the presence of suction/injection, heat source/absorption, thermal radiation, viscous dissipation and slip effects. The governing partial differential equations are reduced into a set of non-linear ordinary differential equations by suitable transformations. Keller box method is applied to solve the system of non-linear ordinary differential equations for which the implementation is made with the help of matlab. The important parameters in this study are: Prandtl number Pr, Schmidt number Sc, buoyancy force parameter λ, radiation parameter Nr, magnetic parameter M, buoyancy forces ratio parameter N, the unsteady parameter A, suction/injection parameter s, Eckert number Ec, heat source/sink parameter Q, chemical reaction parameter R, velocity slip parameter sv, temperature slip parameter st and species concentration slip parameter sm. Effects of these parameters on velocity, temperature and species concentration profile of the fluid are presented and analyzed graphically. Furthermore, numerical investigations have been made for the skin friction coefficient and surface heat and mass transfer rates for some of the parameters.

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具有滑移和热辐射的可渗透拉伸表面上的非定常流体磁化学反应混合对流
本文研究了不可压缩粘性流体在吸力/注入、热源/吸收、热辐射、粘性耗散和滑移效应存在的情况下,通过垂直移动的可渗透拉伸片的非定常磁化学反应混合对流流动。通过适当的变换,将控制偏微分方程化为一组非线性常微分方程。采用凯勒盒法求解非线性常微分方程组,并利用matlab软件对其进行了实现。本研究的重要参数有:普朗特数Pr、施密特数Sc、浮力参数λ、辐射参数Nr、磁性参数M、浮力比参数N、非定常参数A、吸力/喷射参数s、Eckert数Ec、热源/汇参数Q、化学反应参数R、速度滑移参数sv、温度滑移参数st和物质浓度滑移参数sm。给出并分析了这些参数对流体速度、温度和物质浓度分布的影响。此外,对某些参数的表面摩擦系数和表面传热传质率进行了数值研究。
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