拉伸板上Maxwell-幂律流体薄膜的流动传热分析
Analysis of Flow and Heat Transfer of Maxwell-Power-Law Fluid Film on Stretching Plate
DOI: 10.12677/MP.2021.116014, PDF,    国家自然科学基金支持
作者: 吴永发, 张艳, 张颖：北京建筑大学理学院，北京
关键词: Maxwell-幂律流体；流动传热；磁场；DPTEM方法；Maxwell-Power-Law Fluid； Flow and Heat Transfer； Magnetic Field； DPTEM Method
摘要: 本文研究了拉伸板上Maxwell-幂律流体薄膜的流动传热规律，基于流变学本构关系修正了速度滑移及对流换热边界条件，分析了磁场及纳米粒子对流动的影响。利用合适的相似变换将控制方程转化为常微分方程组，结合双参数变形展开方法(DPTEM)求得微分方程的近似解析解。通过图形揭示了各物性参数对膜厚、速度场和温度场的影响，其中De、M和S对膜厚的影响比较明显，而DeE和ϕ对膜厚几乎没有影响。增大DeE和S有助于流体的流动，增大DeE和ϕ有助于增强传热效果。
Abstract: In this paper, the flow and heat transfer of Maxwell-power-law fluid film over a stretching plate are studied. Based on the rheological constitutive relationship, the velocity slip and convective heat transfer boundary conditions are modified, and the effects of magnetic field and nanoparticle on the flow are analyzed. Use appropriate similar transformations to change the governing equations into ordinary differential equations. Combining the two-parameter deformation expansion method (DPTEM), the approximate analytical solutions of the differential equation are obtained. The graph reveals the influence of various physical parameters on film thickness, velocity field and temperature field. Among them, De, M, and S have obvious effects on film thickness, while DeE and have almost no effect on film thickness. Increasing DeE and S helps fluid flow, and increasing DeE and helps to enhance the heat transfer effect.
文章引用：吴永发, 张艳, 张颖. 拉伸板上Maxwell-幂律流体薄膜的流动传热分析[J]. 现代物理, 2021, 11(6): 109-118. https://doi.org/10.12677/MP.2021.116014

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