留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

J·C·宇马法士, 劉一中, M·舍卡. 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]. 应用数学和力学, 2012, 33(7): 877-895. doi: 10.3879/j.issn.1000-0887.2012.07.008
引用本文: J·C·宇马法士, 劉一中, M·舍卡. 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]. 应用数学和力学, 2012, 33(7): 877-895. doi: 10.3879/j.issn.1000-0887.2012.07.008
J.C.Umavathi, LIU I-chung, M.Shekar. Unsteady Mixed Convective Heat Transfer of Two Immiscible Fluids Confined Between a Long Vertical Wavy Wall and a Parallel Flat Wall[J]. Applied Mathematics and Mechanics, 2012, 33(7): 877-895. doi: 10.3879/j.issn.1000-0887.2012.07.008
Citation: J.C.Umavathi, LIU I-chung, M.Shekar. Unsteady Mixed Convective Heat Transfer of Two Immiscible Fluids Confined Between a Long Vertical Wavy Wall and a Parallel Flat Wall[J]. Applied Mathematics and Mechanics, 2012, 33(7): 877-895. 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
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

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

  • 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.
  • [1] Chiu C P, Chou H M. Transient analysis of natural convection along a vertical wavy surface in micropolar fluids[J]. International Journal of Engineering Science, 1994, 32(1): 19-33.
    [2] Rees D A S, Pop I. A note on free convection along a vertical wavy surface in a porous medium[J]. American Society of Mechanical Engineers Journal of Heat Transfer, 1994, 116(2): 505-508.
    [3] Rees D A S, Pop I. Free convection induced by a vertical wavy surface with uniform heat flux in a porous medium[J]. American Society of Mechanical Engineers Journal of Heat Transfer, 1995, 117(2): 547-550.
    [4] Yang Y T, Chen C K, Lin M T. Natural convection of non-Newtonian fluids along a wavy vertical plate including the magnetic field effect[J]. International Journal of Heat and Mass Transfer, 1996, 39(13): 2831-2842.
    [5] Yao L S. Natural convection along a vertical complex wavy surface[J]. International Journal of Heat and Mass Transfer, 2005, 49 (1/2): 281-286.
    [6] Yao L S. Natural convection along a wavy surface[J]. American Society of Mechanical Engineers Journal of Heat Transfer, 1983, 105: 465-468.
    [7] Yao L S. A note on Prandtl’s transposition theorem[J]. American Society of Mechanical Engineers Journal of Heat Transfer, 1988, 110: 503-507.
    [8] Yao L S, Moulic S G. Mixed convection along a wavy surface[J]. American Society of Mechanical Engineers Journal of Heat Transfer, 1989, 111: 974-979.
    [9] Vajravelu K, Sastri K S. Free convective heat transfer in a viscous incompressible fluid confined between a long vertical wavy wall and a parallel flat wall[J]. Journal of Fluid Mechanics, 1978, 80(2): 365-383.
    [10] Chen C K, Wang C C. Transient analysis of force convection along a wavy surface in micropolar fluids[J]. American Institute of Aeronautics and Astronautics Journal of Thermophysics and Heat Transfer, 2000, 14(3): 340-347.
    [11] Chen C K, Wang C C. Transient force and free convection along a vertical wavy surface in micropolar fluids[J]. International Journal of Heat and Mass Transfer, 2001, 44(17): 3241-3251.
    [12] Cheng C Y. Natural convection heat and mass transfer near a vertical wavy surface with constant wall temperature and concentration in a porous medium[J]. International Communications in Heat and Mass Transfer, 2000, 27(8): 1143-1154.
    [13] Cheng C Y. Natural convection heat and Mass transfer near a wavy cone with constant wall temperature and concentration in a porous medium[J]. Mechanics Research Communications, 2000, 27(5): 613-620.
    [14] Malashetty M S, Umavathi J C, Leela V. Magnetoconvective flow and heat transfer between vertical wavy wall and a parallel flat wall[J]. International Journal of Applied Mechanics and Engineering, 2001, 6(2): 437-456.
    [15] Fasogbon P F.Analytical studies of heat and mass transfer by free convection in a two-dimensional irregular channel[J]. International Journal of Applied Mechanics and Engineering, 2010, 6(4): 17-37.
    [16] Batchelor G K. An Introduction to Fluid Dynamics[M]. Cambridge: Cambridge University Press, 1967.
    [17] Ishii M. Thermo-Fluid Dynamic Theory of Two-Phase Flow[M]. Paris: Eyrolles,1975.
    [18] Meyer H I, Garder A O. Mechanics of two immiscible fluids in porous media[J]. Journal of Applied Physics, 1954, 25(11): 1400-1406.
    [19] Loharsbi J, Sahai V. Magnetohydrodynamic heat transfer in two phase flow between parallel plates[J]. Applied Scientific Research, 1988, 45(1): 53-66.
    [20] Packham B A, Shail R. Stratified laminar flow of two immiscible fluids[J]. Proceedings of Cambridge Philosophical Society, 1971, 69(3): 443-448.
    [21] Malashetty M S, Leela V. Magnetohydrodynamic heat transfer in two phase flow[J]. International Journal of Engineering Science, 1992, 30(3): 371-377.
    [22] Malashetty M S, Umavathi J C, Prathap Kumar J. Convective flow and heat transfer in an inclined composite porous medium[J]. Journal Porous Media, 2001, 4(1): 15-22.
    [23] Malashetty M S, Umavathi J C, Prathap Kumar J. Two fluid flow and heat transfer in an inclined composite porous and fluid layer[J]. Heat and Mass Transfer, 2004, 40: 871-876.
    [24] Umavathi J C, Chamkha A J, Mateen A, Al-Mudhaf A. Unsteady two fluid flow and heat transfer in a horizontal channel[J]. Heat and Mass Transfer, 2005, 42(2): 81-90.
    [25] Umavathi J C, Chamkha A J, Mateen A, Prathap Kumar J. Unsteady magneto hydrodynamic two fluid flow and heat transfer in a horizontal channel[J]. International Journal of Heat and Technology, 2008, 26: 121-133.
    [26] Umavathi J C, Manjula M H, Pop I, Liu I C. Flow and heat transfer of couple stress viscous fluids in a vertical channel[J]. International Journal of Applied Mechanics and Engineering, 2007, 12(2): 537-555.
    [27] Kumar J P, Umavathi J C, Biradar B M. Mixed convective flow of immiscible viscous fluids in a vertical channel[J]. Heat Transfer—Asian Research, 2011, 40(1): 1-25.
    [28] Soundalgekar V M, Deka R K, Das U N. Transient free convection flow of a viscous incompressible fluid past an infinite vertical plate with periodic heat flux[J]. Indian Journal Engineering and Material Sciences, 2003, 10(5): 390-396.
    [29] Ostrach S. An Analysis of Laminar Free-Convection Flow and Heat Transfer About a Flat Plate Parallel to the Direction of the Generating Body Force[M]. NACA, TN-2635, Accession number -93R12788, Documentation ID-19930083498 ,1952.
  • 加载中
计量
  • 文章访问数:  1083
  • HTML全文浏览量:  52
  • PDF下载量:  729
  • 被引次数: 0
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

目录

    /

    返回文章
    返回