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放/吸热流体在两个充满多孔材料的竖直平行板之间作不稳定的自然对流

B·K·耶哈 M·K·穆萨

B·K·耶哈, M·K·穆萨. 放/吸热流体在两个充满多孔材料的竖直平行板之间作不稳定的自然对流[J]. 应用数学和力学, 2012, 33(3): 292-302. doi: 10.3879/j.issn.1000-0887.2012.03.003
引用本文: B·K·耶哈, M·K·穆萨. 放/吸热流体在两个充满多孔材料的竖直平行板之间作不稳定的自然对流[J]. 应用数学和力学, 2012, 33(3): 292-302. doi: 10.3879/j.issn.1000-0887.2012.03.003
Basant K.Jha, Muhammad K.Musa. Unsteady Natural Convection Couette Flow of Heat Generating/Absorbing Fluid Between Vertical Parallel Plates Filled With Porous Material[J]. Applied Mathematics and Mechanics, 2012, 33(3): 292-302. doi: 10.3879/j.issn.1000-0887.2012.03.003
Citation: Basant K.Jha, Muhammad K.Musa. Unsteady Natural Convection Couette Flow of Heat Generating/Absorbing Fluid Between Vertical Parallel Plates Filled With Porous Material[J]. Applied Mathematics and Mechanics, 2012, 33(3): 292-302. doi: 10.3879/j.issn.1000-0887.2012.03.003

放/吸热流体在两个充满多孔材料的竖直平行板之间作不稳定的自然对流

doi: 10.3879/j.issn.1000-0887.2012.03.003
详细信息
  • 中图分类号: O357

Unsteady Natural Convection Couette Flow of Heat Generating/Absorbing Fluid Between Vertical Parallel Plates Filled With Porous Material

  • 摘要: 在一个由两块无限竖直平行板组成的管道中,充满着多孔的介质材料,使用Darcy模型(Brinkman模型的推广)的动量方程,连同能量方程,计算不可压缩、粘性、放/吸热流体在该管道中的不稳定自然对流,即Couette流动.流动是由于边界平板有不对称的加热,以及作加速运动所引起.选用合理的无量纲参数,对控制方程进行简化,通过Laplace变换进行解析求解,得到闭式的速度和温度分布曲线解,随后导出表面摩擦力和传热率.发现在竖直管道中的不同剖面,流体的流动及温度分布曲线随着时间而增加,且在运动平板附近更高.特别是,流体的速度和温度随着平板间距的增加而增加,但是,表面摩擦力和热传导率随着平板间距的增加而减小.
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出版历程
  • 收稿日期:  2010-12-31
  • 修回日期:  2011-11-18
  • 刊出日期:  2012-03-15

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