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g-Jitter Mixed Convective Slip Flow of Nanofluid past a Permeable Stretching Sheet Embedded in a Darcian Porous Media with Variable Viscosity

机译:纳米流体的g抖动混合对流滑移流过可变黏度的Darcian多孔介质中嵌入的渗透性拉伸片

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摘要

The unsteady two-dimensional laminar g-Jitter mixed convective boundary layer flow of Cu-water and Al2O3-water nanofluids past a permeable stretching sheet in a Darcian porous is studied by using an implicit finite difference numerical method with quasi-linearization technique. It is assumed that the plate is subjected to velocity and thermal slip boundary conditions. We have considered temperature dependent viscosity. The governing boundary layer equations are converted into non-similar equations using suitable transformations, before being solved numerically. The transport equations have been shown to be controlled by a number of parameters including viscosity parameter, Darcy number, nanoparticle volume fraction, Prandtl number, velocity slip, thermal slip, suction/injection and mixed convection parameters. The dimensionless velocity and temperature profiles as well as friction factor and heat transfer rates are presented graphically and discussed. It is found that the velocity reduces with velocity slip parameter for both nanofluids for fluid with both constant and variable properties. It is further found that the skin friction decreases with both Darcy number and momentum slip parameter while it increases with viscosity variation parameter. The surface temperature increases as the dimensionless time increases for both nanofluids. Nusselt numbers increase with mixed convection parameter and Darcy numbers and decreases with the momentum slip. Excellent agreement is found between the numerical results of the present paper with published results.
机译:利用隐线性有限差分数值方法和准线性化技术研究了Cu-水和Al2O3-水纳米流体在可渗透拉伸片中通过二维渗流的非稳态二维g-Jitter混合对流边界层流。假定板受速度和热滑移边界条件的影响。我们考虑了温度依赖性粘度。在进行数值求解之前,使用适当的转换将控制边界层方程转换为非相似方程。传输方程已显示受许多参数控制,包括粘度参数,达西数,纳米颗粒体积分数,普朗特数,速度滑移,热滑移,吸/喷和混合对流参数。图形化显示并讨论了无量纲的速度和温度分布图以及摩擦系数和传热速率。发现对于具有恒定性质和可变性质的流体,两种纳米流体的速度都随着速度滑移参数而降低。进一步发现,皮肤摩擦随着达西数和动量滑移参数而减小,而随着粘度变化参数而增大。随着两种纳米流体的无量纲时间的增加,表面温度也随之升高。 Nusselt数随对流参数和Darcy数的增加而增加,随动量滑移而减小。在本文的数值结果与已发表的结果之间发现了极好的一致性。

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