DOUBLE DIFFUSIVE CONVECTION IN A HIGH POROSITY ANISOTROPIC POROUS MEDIUM WITH EXTERNALLY REGULATED DARCY AND BRINKMAN FRICTIONS

P.G. SIDDHESHWAR; R.K. VANISHREE

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DOUBLE DIFFUSIVE CONVECTION IN A HIGH POROSITY ANISOTROPIC POROUS MEDIUM WITH EXTERNALLY REGULATED DARCY AND BRINKMAN FRICTIONS

机译：具有外部调节的达西和布林克曼摩擦的高孔隙度各向异性多孔介质中的双扩散对流

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A linear stability analysis is performed on the double diffusive porous system using the Rayleigh-Ritz technique. The condition for direct and Hopf bifurcations is obtained as a function of the parameters of the problem. A unique feature in this problem is that Darcy and Brinkman friction are temperature-dependent and hence are amenable to regulation. The study reveals that this external regulation of convection results in a preference for stationary convection over oscillatory mode. A low-porosity medium results for 'finger' and 'diffusive' instabilities are also discussed in the case of constant viscosity liquids.

机译：使用Rayleigh-Ritz技术对双扩散多孔系统进行了线性稳定性分析。根据问题的参数获得直接分支和霍普夫分支的条件。该问题的独特之处在于，达西和布林克曼的摩擦是温度相关的，因此可以调节。研究表明，对流的这种外部调节导致相对于振荡模式更偏爱平稳对流。在恒定粘度液体的情况下，还讨论了针对“手指”和“扩散”不稳定性的低孔隙度介质结果。

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来源
《Applied Mechanics and Engineering》 |2011年第4期|p.1147-1168|共22页
作者
P.G. SIDDHESHWAR; R.K. VANISHREE;
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作者单位

Department of Mathematics, Central College Campus Bangalore University Bangalore-560 001, INDIA;

Department of Mathematics, Maharani's Science College for Women Palace Road, Bangalore-560 001 Karnataka (state), INDIA;

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正文语种 eng
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double diffusive convection; anisotropic porous medium; temperature dependent viscosity;

机译：双重扩散对流各向异性多孔介质温度依赖性粘度;

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1. DOUBLE DIFFUSIVE CONVECTION IN A HIGH POROSITY ANISOTROPIC POROUS MEDIUM WITH EXTERNALLY REGULATED DARCY AND BRINKMAN FRICTIONS [J] . P. G. SIDDHESHWAR, R. K. VANISHREE International Journal of Applied Mechanics and Engineering . 2011,第4期

机译：高孔隙度各向异性多孔介质中双重扩散对流和布林克曼惯性摩擦
2. Double-diffusive convection in an anisotropic porous layer using the Darcy-Brinkman-Forchheimer formulation [J] . Safi S., Benissaad S. Archives of Mechanics . 2018,第1期

机译：使用Darcy-Brinkman-Forchheimer公式在各向异性多孔层中进行双扩散对流
3. Combined effect of suspended particles and rotation on double-diffusive convection in a viscoelastic fluid saturated by a Darcy-Brinkman porous medium [J] . Rana G.C., Thakur R.C. The Journal of Computational Multiphase Flows . 2013,第2期

机译：悬浮粒子和旋转对达西-布林克曼多孔介质饱和的粘弹性流体中双扩散对流的综合影响
4. Double-Diffusive Nanofluid Convection in Porous Medium with Rotation: Darcy-Brinkman Model [C] . Jyoti Sharma, Urvashi Gupta International Conference on Computational Heat and Mass Transfer . 2016

机译：具有旋转的多孔介质中的双重扩散纳米流体对流：达西 - 布兰克曼模型
5. Convection of water near 4 degrees C in an anisotropic porous medium [D] . Wei, Zheng. 2000

机译：各向异性多孔介质中水在4摄氏度附近的对流
6. Penetrative Brinkman ferroconvection via internal heating in high porosity anisotropic porous layer: influence of boundaries [O] . Y.L. Savitha, C.E. Nanjundappa, I.S. Shivakumara 2021

机译：通过高孔隙率各向异性多孔层的内部加热穿透边缘Brinkman FerroconVection：边界的影响
7. Nonhomogeneous porosity and thermal diffusivity effects on stability and instability of double-diffusive convection in a porous medium layer: Brinkman Model [O] . Akil J. Harfash, Huda A. Challoob 2019

机译：非均匀孔隙率和热扩散性对多孔介质层中双扩散对流的稳定性和不稳定性的影响：Brinkman模型
8. Study of Non-Darcy Natural Convection from a Vertical Heated Surface in a Saturated Porous Medium [R] . Huenefeld, J. C., Plumb, O. A. 1981

机译：饱和多孔介质中垂直加热表面非达西自然对流的研究

DOUBLE DIFFUSIVE CONVECTION IN A HIGH POROSITY ANISOTROPIC POROUS MEDIUM WITH EXTERNALLY REGULATED DARCY AND BRINKMAN FRICTIONS

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