两种互不相溶流体在竖直的波状壁面和平行的平面壁面间作不稳定的混合对流传热

J·C·宇马法士; 劉一中; M·舍卡

doi:10.3879/j.issn.1000-0887.2012.07.008

两种互不相溶流体在竖直的波状壁面和平行的平面壁面间作不稳定的混合对流传热

doi: 10.3879/j.issn.1000-0887.2012.07.008

古尔伯加大学数学系,古尔伯加,卡纳塔克邦 585 106,印度;

基金项目: 印度大学资源委员会资助项目（大学教育资助委员会的主要研究项目）(No F No 37-178, 2009)

详细信息

中图分类号: O368;O357.1
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出版历程
- 收稿日期: 2011-05-18
- 修回日期: 2011-12-28
- 刊出日期: 2012-07-15

Unsteady Mixed Convective Heat Transfer of Two Immiscible Fluids Confined Between a Long Vertical Wavy Wall and a Parallel Flat Wall

¹Department of Mathematics, Gulbarga University, Gulbarga, Karnataka 585 106, India;²Department of Civil Engineering,National Chi Nan University, University Road, Puli, Nantou54561, Taiwan, China

摘要

摘要: 分析粘性、不可压缩、互不相溶流体，在竖直的波状壁面和光滑的平面壁间，传热传质混合对流的组合效应．得到无量纲控制方程的摄动解：0阶的均值部分和1阶的摄动部分．将所得到的1阶量，用小波长摄动级数展开，出现按指数阶分类的方程组．得到了0阶和1阶的解析表达式及其整体解，通过数值计算，用图形表明流体流动的显著特征以及传热特性．界面上应用适当的匹配条件，使分离的解相匹配．还针对控制参数的不同变化，分析了剪应力和Nusselt数的变化．发现Grashof数、粘性比、宽度比和导电率，对平行于流动方向的速度是有利的，对垂直于流动方向速度的影响正相反．
- 混合对流 /
- 波状壁面 /
- 互不相溶流体 /
- 摄动法
Abstract: An analysis on the combined effects of thermal and mass convection of viscous incompressible, immiscible fluids through a vertical wavy wall and a smooth flat wall was performed. The dimensionless governing equations were perturbed into: mean part (zeroth order) and a perturbed part (first order). The first order quantities were obtained by perturbation series expansion for short wavelength, in which terms of exponential order arise. Analytical expressions for the zeroth order, first order and the total solutions were obtained.The numerical computations were presented graphically to show salient features of the fluid flow and heat transfer characteristics. Separate solutions were matched at the interface by using suitable matching conditions. The shear stress and the Nusselt number were also analyzed for different variations of the governing parameters. It is observed that Grashof number, viscosity ratio, width ratio and conductivity ratio promote the velocity parallel to the flow direction. A reversal effect is observed for the velocity perpendicular to the flow direction.
- mixed convection /
- wavy wall /
- immiscible fluids /
- perturbation method

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参考文献(29)

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