混合微通道中不稳定的广义Couette流

M·L·考兰吉尼; B·K·贾

doi:10.3879/j.issn.1000-0887.2011.01.003

混合微通道中不稳定的广义Couette流

doi: 10.3879/j.issn.1000-0887.2011.01.003

M·L·考兰吉尼¹,
B·K·贾²

卡诺科技大学数学系,乌地尔,尼日利亚;2.艾哈迈杜〖KG-*4〗·〖KG-*4〗贝洛大学数学系,扎里亚, 尼日利亚

详细信息

中图分类号: O357.3
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出版历程
- 收稿日期: 2010-08-30
- 修回日期: 2010-11-22
- 刊出日期: 2011-01-15

Unsteady Generalized Couette Flow in Composite Microchannel

M. L. Kaurangini¹,
Basant K. Jha²

Department of Mathematical Sciences, Kano University of Science and Technology, Wudil-Nigeria;

摘要

摘要: 在一个平行板通道中，部分充满了均匀的多孔介质，部分为纯流体的流动区，对其微通道中完全发展的不稳定层流进行了数值分析，流动由其中一块板的运动和压力梯度所引起．多孔介质区域的流动，采用扩展的Brinkman模型，即Darcy模型，纯净流动区域的流动，采用Stokes方程．还对稳定的完全发展流进行了理论分析，给出了分界面速度、边界板处的速度和表面摩擦的闭式解．通过数值计算发现，稳定完全发展流的闭式解，和不稳定流动的数值解，在所有时间点上得到很好地吻合．
- 不稳定 /
- 混合 /
- 微通道
Abstract: A numerical study was reported to investigate the unsteady fully developed laminar fluid flow in microchannel parallel-plates partially filled with uniform porous medium and partially with a clear fluid. The flow was induced by the movement of one of the plates and pressure gradient.Brinkman-Extended Darcy model was utilized to model the flow in porous region while Stokes equation was used in the clear fluid region.A theoretical analysis was also presented for the steady fully developed flow to find the closed form expressions for interfacial velocity,the velocity and skin frictions at the bounding plates.During the course of numerical computations,it is observed that there is an excellent agreement between the closed form solutions for steady fully developed flow with numerical solution of unsteady flow at large values of time.
- unsteady /
- composite /
- microchannel

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参考文献(33)

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