Convection in Porous Media

Convection in Porous Media
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DOI:
10.1007/978-0-387-76543-3_4
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发表时间:
2008
期刊:
--
影响因子:
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通讯作者:
B. Straughan
B. Straughan
中科院分区:
其他
文献类型:
--
作者:
B. Straughan

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在本章开始之前,我们研究了受垂直温度梯度影响的饱和多孔材料层中对流流动的稳定性。根据Darcy理论、Forchheimer理论、Darcy各向异性渗透率理论和Brinkman理论,提出了相应的方程。虽然我的上一本书(Straughan, 2004a)集中于流体力学中的能量稳定性应用,但不可避免地会对多孔介质中的对流流动进行一些研究。本书的目的是不涵盖相同的材料,除了基本的分析,为清楚起见,包含在4.1和4.2节。然而,本章的其余部分集中在多孔介质中的新流动情况,许多是最近的,有些是第一次给出的。有些工作是用能量法来处理非线性稳定性的,但并非完全如此。
To commence this chapter we investigate the stability of convective flow in a layer of saturated porous material which is subject to a vertical temperature gradient. The appropriate equations are now presented according to the theories of Darcy, Forchheimer, Darcy with anisotropic permeability, and Brinkman.While my previous book,(Straughan, 2004a), concentrates on energy stability applications in fluid mechanics, there are inevitably, some investigations there of convection flows in porous media. The object of this book is not to cover the same material, apart from the basic analysis which for reasons of clarity is contained in sections 4.1 and 4.2. However, the rest of this chapter concentrates on novel flow situations in porous media, many very recent, and some given here for the first time. Some of this work deals with nonlinear stability by means of the energy method, but not exclusively so.