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Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source

机译:具有索特效应和内部热源的饱和各向异性多孔层中的线性和非线性双扩散对流

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摘要

Double-diffusive convection in an anisotropic porous layer heated and salted from below with an internal heat source and Soret effect is studied analytically using both linear and nonlinear stability analyses. The generalized Darcy model including the time derivative term is employed for the momentum equation. The critical Rayleigh number and wavenumber for stationary and oscillatory modes and frequency of oscillations are obtained analytically using linear theory. The effects of the anisotropy parameters, concentration Rayleigh number, internal heat source, Soret parameter, Vadasz number and Lewis number on the stationary, oscillatory, and heat and mass transfer are shown graphically. Heat and mass transfer have been obtained in terms of the Nusselt number and Sherwood number.
机译:利用线性和非线性稳定性分析,从内部加热后从下方加热并盐化的各向异性多孔层中的双扩散对流,并通过索雷特效应进行分析。动量方程采用包含时间导数项的广义达西模型。使用线性理论以解析方式获得了稳态和振荡模式的临界瑞利数和波数以及振荡频率。用图形显示了各向异性参数,浓度瑞利数,内部热源,Soret参数,Vadasz数和Lewis数对固定,振荡以及传热和传质的影响。已经根据努塞尔数和舍伍德数获得了传热和传质。

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  • 来源
  • 作者单位

    School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;

    Department of Applied Mathematics & Statistics, School of Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, UP, India;

    School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;

  • 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 diffusion; Porous layer; Soret effect; Internal heat;

    机译:双重扩散;多孔层索雷特效应;内部热量;

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