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下部有常热通量加热作用时非均匀温度梯度和磁场对Marangoni对流作用的影响
引用本文:S·P·M·艾沙,N·M·阿里芬,R·纳扎尔,M·N·萨阿德,黄雅意. 下部有常热通量加热作用时非均匀温度梯度和磁场对Marangoni对流作用的影响[J]. 应用数学和力学, 2010, 31(7). DOI: 10.3879/j.issn.1000-0887.2010.07.001
作者姓名:S·P·M·艾沙  N·M·阿里芬  R·纳扎尔  M·N·萨阿德  黄雅意
作者单位:1. 马来西亚博特拉大学,数学研究所,43400,UPM沙登,雪兰莪,马来西亚
2. 马来西亚国民大学,数学科学学院,43600,UKM班吉,雪兰莪,马来西亚
基金项目:马来西亚拿督阿理科与技术(MOSTI)科学研究基金资助项目 
摘    要:
在一个水平流体层中,下部加热和上部致冷,热通量为常数时,研究磁场和非均匀温度梯度对Marangoni对流作用的影响.对线性稳定分析进行了详细的研究.分析了各种参数对对流作用的影响.考虑了6种基本的温度分布曲线,给出了造成失稳影响的一些普遍结论.

关 键 词:Marangoni对流  非均匀温度  磁场  Galerkin法  摄动解

Effect of Non-Uniform Temperature Gradient and Magnetic Field on Onset of Marangoni Convection Heated From Below by a Constant Heat Flux
S.P.M.Isa,N.M.Arifin,R.Nazar,M.N.Saad. Effect of Non-Uniform Temperature Gradient and Magnetic Field on Onset of Marangoni Convection Heated From Below by a Constant Heat Flux[J]. Applied Mathematics and Mechanics, 2010, 31(7). DOI: 10.3879/j.issn.1000-0887.2010.07.001
Authors:S.P.M.Isa  N.M.Arifin  R.Nazar  M.N.Saad
Affiliation:S.P.M.Isa1,N.M.Arifin1,R.Nazar2,M.N.Saad1(1.Intitute for Mathematical Research,Universiti Putra Malaysia,43400 UPM Serdang,Selangor,Malaysia,2.School of Mathematical Sciences,Universiti Kebangsaan Malaysia,43600 UKM Bangi,Malaysia)
Abstract:
The effect of magnetic field and a non-uniform temperature gradient on the Marangoni convection in a horizontal fluid layer,heated from below and cooled from above with a constant heat flux was investigated.A linear stability analysis was performed to undertake a detailed investigation.The influence of various parameters on the onset of convection was analyzed.Six non-uniform basic temperature profiles were considered and some general conclusions about their destabilizing effects were presented.
Keywords:Marangoni convection  non-uniform temperature  magnetic field  Galerkin procedure  perturbed solutions  
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