Unsteady Hydromagnetic Non-Newtonian Nanofluid Flow Past a Porous Stretching Sheet in the Presence of Variable Magnetic Field and Chemical Reaction

Kafunda Tuesday, Mathew N. Kinyanjui, Kang’ethe Giterere
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Abstract

The aim of this study is to examine the unsteady hydromagnetic flow of non-Newtonian nanofluid past a stretching sheet in the presence of variable magnetic field and chemical reaction. The system of non-linear partial differential equations governing the flow was solved using finite difference numerical approximation method. The resulting numerical schemes were simulated in MATLAB software. Furthermore, the skin-friction coefficient, Sherwood number, and Nusselt number have been presented in tabular form and discussed. The findings demonstrated that increasing Reynolds number increases velocity profiles while increasing permeability parameter, suction parameter and angle of inclination for the applied magnetic field reduces the velocity profiles of the fluid flow. Temperature of the fluid increases as the angle of inclination, magnetic number, Reynolds number and Eckert number increase but decreases as Prandtl number increases. Induced magnetic field profiles decrease as magnetic Prandtl number and suction parameter increase. Concentration profiles decrease as the chemical reaction parameter and Schmidt number increase but increase as the Soret number increases. The study is significant because fluid flow and heat transfer mechanisms with the variable magnetic considerations play an important role in magnetohydrodynamic generator or dynamo and magnetohydrodynamic pumps, nuclear reactors, vehicle thermal control, heat exchangers, cancer therapy, wound treatment and hyperthermia.
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非定常磁非牛顿纳米流体在变磁场和化学反应下流过多孔拉伸片
本研究的目的是研究非牛顿纳米流体在变磁场和化学反应存在下通过拉伸片的非定常磁流。采用有限差分数值逼近法对控制流动的非线性偏微分方程组进行了求解。在MATLAB软件中对所得到的数值格式进行了仿真。并对摩擦系数、Sherwood数和Nusselt数进行了讨论。结果表明:雷诺数的增加使流体的速度分布增大,磁导率参数、吸力参数和外加磁场倾角的增大使流体的速度分布减小;流体温度随倾角、磁数、雷诺数和埃克特数的增加而升高,随普朗特数的增加而降低。随着磁普朗特数和吸力参数的增大,感应磁场分布减小。浓度分布随化学反应参数和施密特数的增大而减小,随索雷特数的增大而增大。该研究具有重要意义,因为考虑变磁因素的流体流动和传热机制在磁流体动力发电机或发电机、磁流体动力泵、核反应堆、车辆热控制、热交换器、癌症治疗、伤口治疗和热疗中发挥着重要作用。
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