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Cross-Diffusion Effects on Unsteady Bioconvective Flow Past a Stretching Sheet

机译：穿过扩散片的不稳定生物对流的交叉扩散效应

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摘要

This paper presents a mathematical analysis of bioconvection heat, mass, and motile microorganisms transfer over a stretching sheet in a medium filled with a fluid containing gyrotactic microorganisms. Cross-diffusion is taken into account in the medium. Using the boundary layer approximations, the set of unsteady partial differential equations governing the fluid flow is transformed into nonlinear PDEs form and then solved numerically using bivariate spectral relaxation method (BSRM) and bivariate spectral quasi-linearization method (BSQLM). A comparison between BSRM and BSQLM is made for the first time in this work. The accuracy and convergence analysis of the methods are also discussed. The methods are found to be convergent and give very accurate results with very few grid points in the numerical discretization procedure. A parametric study of the entire flow regime is carried out to illustrate the effects of various governing parameters on the fluid properties and flow characteristics. The results obtained show a significant effect of cross-diffusion on the fluid properties and flow characteristics. The Dufour number was found to increase the local Sherwood number and density number of motile microorganisms while decreasing the Nusselt number, and the reverse effect is true for the Soret number. Furthermore, the Nusselt number, Sherwood number, and density number of motile microorganisms are highly influenced by buoyancy and bioconvection parameters.
机译：本文提出了对流热，质量和运动性微生物在填充有含回转型微生物的液体的介质中通过拉伸片传递的数学分析。介质中考虑了交叉扩散。使用边界层近似，将控制流体流动的非定常偏微分方程组转换为非线性PDE形式，然后使用双变量谱松弛方法（BSRM）和双变量谱拟线性化方法（BSQLM）进行数值求解。这项工作中第一次进行了BSRM和BSQLM之间的比较。还讨论了该方法的准确性和收敛性分析。发现这些方法是收敛的，并且在数值离散过程中以很少的网格点给出非常准确的结果。进行了整个流动状态的参数研究，以说明各种控制参数对流体特性和流动特性的影响。所获得的结果表明交叉扩散对流体性质和流动特性的显着影响。发现Dufour数增加了局部Sherwood数和运动微生物的密度数，同时降低了Nusselt数，而Soret数则相反。此外，浮力和生物对流参数强烈影响运动微生物的努塞尔数，舍伍德数和密度数。

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  • 来源
    《Journal of Heat Transfer》 |2017年第3期|1-11|共11页
  • 作者

    Musawenkhosi P. Mkhatshwa; Faiz G. Awad; Melusi Khumalo;

  • 作者单位

    Department of Pure and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, Republic of South Africa;

    Department of Pure and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, Republic of South Africa;

    Department of Pure and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, Republic of South Africa;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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