The Effects of Double Diffusion and Local Thermal Non-equilibrium on the Onset of Convection in a Layered Porous Medium: Non-oscillatory Instability

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• 作者：D. A. Nield (1)
  A. V. Kuznetsov (2)
  A. Barletta (3)
  M. Celli (3)
  
  1. Department of Engineering Science ; University of Auckland ; Private Bag 92019 ; Auckland ; 1142 ; New Zealand
  2. Department of Mechanical and Aerospace Engineering ; North Carolina State University ; Campus Box 7910 ; Raleigh ; NC ; 27695-7910 ; USA
  3. Department of Industrial Engineering ; Alma Mater Studiorum Universit脿 di Bologna ; Viale Risorgimento 2 ; 40136 ; Bologna ; Italy
  
• 关键词：Local thermal non ; equilibrium ; Porous medium ; Instability ; Natural convection ; Double diffusion
• 刊名：Transport in Porous Media
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：107
• 期：1
• 页码：261-279
• 全文大小：328 KB
• 参考文献：1. Barletta, A., Storesletten, L.: Thermoconvective instabilities in an inclined porous channel heated from below. Int. J. Heat Mass Transf. 54, 2724鈥?733 (2011) CrossRef
  2. Nield, D.A.: Effects of local thermal nonequilibrium in steady convective processes in a saturated porous medium: forced convection in a channel. J. Porous Media 1, 181鈥?86 (1998)
  3. Nield, D.A.: A note on local thermal non-equilibrium in porous media near boundaries and interfaces. Transp. Porous Media 95, 581鈥?84 (2012) CrossRef
  4. Nield, D.A., Bejan, A.: Convection in Porous Media, 4th edn. Springer, New York (2013) CrossRef
  5. Nield, D.A., Kuznetsov, A.V.: Local thermal non-equilibrium and heterogeneity effects on the onset of convection in a layered porous medium. Transp. Porous Media 102, 1鈥?3 (2014) CrossRef
  6. Platten, J.K., Legros, J.C.: Convection in Liquids. Springer, Berlin (1984) CrossRef
  7. Postelnicu, A., Rees, D.A.S.: The onset of Darcy-Brinkman convection in a porous layer using a thermal nonequilibrium model鈥擯art I: Stress free boundaries. Int. J. Energy Res. 27, 961鈥?73 (2003) CrossRef
  8. Rees, D.A.S., Bassom, A.P.: The onset of Darcy鈥揃茅nard convection in an inclined layer heated from below. Acta Mech. 144, 103鈥?18 (2000) CrossRef
  9. Straughan, B.: Stability and Wave Motion in Porous Media. Springer-Verlag, New York (2008)
  10. Vadasz, P.: Heat conduction in nanofluid suspensions. ASME J. Heat Transf. 128, 465鈥?77 (2006) CrossRef
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

The effect of local thermal non-equilibrium on the onset of double-diffusive convection in a porous medium consisting of two horizontal layers is studied analytically. Linear stability theory is applied. Variations of permeability, fluid conductivity, solutal diffusivity, solid conductivity, interphase heat transfer coefficient, and porosity are considered. It is found that with the introduction of double diffusion, the heterogeneity of porosity now has a major effect, comparable to the effects of heterogeneity of permeability and fluid conductivity. The general results are obtained by using a one-term Galerkin approximation. We validate this approximation by comparing these results with those obtained by using a highly accurate numerical solver. We thus established the accuracy of a one-term Galerkin approximation for stability analysis of a complicated convection problem.