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Scaling Group Transformation for MHD Boundary Layer Slip Flow of a Nanofluid over a Convectively Heated Stretching Sheet with Heat Generation

机译:对流加热拉伸片上生热的纳米流体MHD边界层滑流的尺度组转换

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摘要

Steady viscous incompressible MHD laminar boundary layer slip flow of an electrically conducting nanofluid over a convectively heated permeable moving linearly stretching sheet has been investigated numerically. The effects of Brownian motion, thermophoresis, magnetic field, and heat generation/absorption are included in the nanofluid model. The similarity transformations for the governing equations are developed. The effects of the pertinent parameters, Lewis number, magnetic field, Brownian motion, heat generation, thermophoretic, momentum slip and Biot number on the flow field, temperature, skin friction factor, heat transfer rate, and nanoparticle, volume fraction rate are displayed in both graphical and tabular forms. Comparisons of analytical (for special cases) and numerical solutions with the existing results in the literature are made and is found a close agreement, that supports the validity of the present analysis and the accuracy of our numerical computations. Results for the reduced Nusselt and Sherwood numbers are provided in tabular and graphical forms for various values of the flow controlling parameters which govern the momentum, energy, and the nanoparticle volume fraction transport in the MHD boundary layer.
机译:数值研究了对流加热的可渗透运动线性拉伸片材上导电纳米流体的稳态粘性不可压缩MHD层流边界层滑流。纳米流体模型包括布朗运动,热泳,磁场和热量产生/吸收的影响。开发了控制方程的相似变换。有关参数,刘易斯数,磁场,布朗运动,生热,热泳,动量滑移和比奥数对流场,温度,皮肤摩擦系数,传热速率以及纳米粒子,体积分数的影响图形和表格形式。进行了分析(对于特殊情况)和数值解与文献中已有结果的比较,并发现它们之间存在密切的一致性,这支持本分析的有效性和我们数值计算的准确性。减少的Nusselt和Sherwood数的结果以表格和图形形式提供了流量控制参数的各种值,这些参数控制动量,能量和MHD边界层中纳米颗粒的体积分数传输。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第5期|p.37.1-37.20|共20页
  • 作者单位

    School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;

    Department of Engineering Sciences, PN Engineering College, National University of Sciences and Technology, Karachi 75350, Pakistan;

    School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;

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