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非Darcy多孔介质中的非线性对流

M·R·帕沙

M·R·帕沙. 非Darcy多孔介质中的非线性对流[J]. 应用数学和力学, 2010, 31(5): 533-543. doi: 10.3879/j.issn.1000-0887.2010.05.004
引用本文: M·R·帕沙. 非Darcy多孔介质中的非线性对流[J]. 应用数学和力学, 2010, 31(5): 533-543. doi: 10.3879/j.issn.1000-0887.2010.05.004
M. K. Partha. Non-Linear Convection in a Non-Darcy Porous Medium[J]. Applied Mathematics and Mechanics, 2010, 31(5): 533-543. doi: 10.3879/j.issn.1000-0887.2010.05.004
Citation: M. K. Partha. Non-Linear Convection in a Non-Darcy Porous Medium[J]. Applied Mathematics and Mechanics, 2010, 31(5): 533-543. doi: 10.3879/j.issn.1000-0887.2010.05.004

非Darcy多孔介质中的非线性对流

doi: 10.3879/j.issn.1000-0887.2010.05.004
详细信息
  • 中图分类号: O357.3

Non-Linear Convection in a Non-Darcy Porous Medium

  • 摘要: 利用温度-浓度-密度关系,研究非Darcy多孔介质中的自由对流问题.对于不同的惯性参数、传递参数、Rayleigh数、Lewis数、Soret数和Dufour数,分析了非线性温度参数和浓度参数对非线性对流的影响.浮力对对流起着辅助的附加作用,当惯性作用不计时,切向速度随着非线性温度和浓度的增加而急剧地增加.然而,当惯性效应不为0时,非线性温度和浓度对切向速度的影响是有限的.对两个传递参数、惯性影响参数以及控制非线性温度和浓度的其他参数,取不同的数值时,浓度分布有点儿变化,并在不同的范围内传播.随着非线性温度和浓度的增加,传热/传质在很大的范围内变化,这取决于是Dacry多孔介质,还是非Darcy多孔介质.当所有的影响(惯性的影响、两个传递系数的影响、Soret和Dufour的影响)同时为0/不为0,在非线性温度/浓度参数以及浮力的共同作用下,分析了传热/传质的变化.发现在Darcy多孔介质中,温度和浓度以及它们的交叉扩散,对传热/传质的影响,要比非Darcy多孔介质要大.发现了浮力的负面作用,随着非线性温度系数的增加,传热/传质率是提高的,而随着非线性浓度系数的增加,传热/传质率是下降的.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2010-02-19
  • 刊出日期:  2010-05-15

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