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Influence of convective boundary condition on double diffusive mixed convection from a permeable vertical surface

机译:对流边界条件对可渗透垂直面双扩散混合对流的影响

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摘要

The main objective of the present paper is to obtain non-similar solutions numerically for steady two dimensional double diffusive mixed convection boundary layer flows along a vertical semi-infinite permeable surface under the influence of convective boundary condition along with surface mass transfer. The nonlinear partial differential equations governing the flow, temperature, and species concentration fields are expressed in non-dimensional form using suitable non-similar transformations. The final non-dimensional set of coupled nonlinear partial differential equations is solved by using an implicit finite difference scheme in combination with quasi-linearization technique. The effects of various governing parameters involved on the velocity, temperature and species concentration profiles are discussed in the present paper. The results show that the streamwise co-ordinate ξ significantly influences the flow, thermal, and concentration fields which indicate the importance of non-similar solutions. Results indicate that buoyancy parameter (Ri) and the ratio of buoyancy forces parameter (N) enhance the skin friction coefficient and decrease the heat transfer coefficient. Also, it is observed that the increase of suction parameter (A = 1) causes the decrease in the magnitude of temperature and concentration profiles from their values for injection parameter (A =-1). In the present investigation, dual solutions are also obtained under similarity assumptions and compared with previously published work.
机译:本文的主要目的是在对流边界条件和表面质量传递的影响下,沿垂直半无限渗透面稳定二维二维双扩散混合对流边界层流动,得到数值上的非相似解。使用适当的非相似变换,以无量纲形式表示控制流量,温度和物种浓度场的非线性偏微分方程。通过使用隐式有限差分方案结合准线性化技术,解决了耦合非线性偏微分方程的最终无量纲集。本文讨论了各种控制参数对速度,温度和物种浓度分布的影响。结果表明,沿流方向的坐标ξ显着影响流场,热场和浓度场,这表明了非相似解的重要性。结果表明,浮力参数(Ri)和浮力比参数(N)提高了皮肤摩擦系数,降低了传热系数。同样,观察到吸力参数(A = 1)的增加导致温度和浓度曲线的幅度从喷射参数(A = -1)的值减小。在本研究中,对偶解也可在相似性假设下获得,并与先前发表的工作进行比较。

著录项

  • 来源
  • 作者

    P.M. Patil; E. Momoniat; S. Roy;

  • 作者单位

    Department of Mathematics and Dr. D.C. Pavate's Institute of Mathematical Sciences, Karnatak University, Dharwad 580 003, India;

    Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa;

    Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa,Department of Mathematics, IIT Madras, Chennai 600 036, India;

  • 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
  • 中图分类
  • 关键词

    Double diffusive convection; Non-similar solution; Convective boundary condition; Quasi-linearization and finite difference; scheme;

    机译:双扩散对流;非相似解对流边界条件;拟线性化和有限差分;方案;

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