Inscrição na biblioteca: Guest

Soret and Double Diffusive Convection in a Porous Cavity

Volume 7, Edição 1, 2004, 18 pages
DOI: 10.1615/JPorMedia.v7.i1.50
Get accessGet access

RESUMO

Natural convection in a rectangular porous medium filled with a binary fluid is studied analytically and numerically. The two vertical walls of the cavity are subject to constant gradients of temperature while the two horizontal ones are adiabatic and impermeable. Solutal gradients are assumed to be induced either by the imposition of constant gradients of concentration on the vertical walls (double-diffusive convection, a = 0) or by the Soret effect (a = 1). Governing parameters of the problem under study are the thermal Rayleigh number RT, buoyancy ratio φ, Lewis number Le, and aspect ratio of the cavity, A. An analytical solution, based on the parallel flow approximation, is reported for tall enclosures. The analysis reveals that there is a range of buoyancy ratios φ which yields up to three analytical solutions for a given set of governing parameters. The range of buoyancy ratios for the existence of multiple solutions is found to depend on the type of convection induced by the solutal gradients, i.e., on the constant a. In the range of the governing parameters considered in this study, good agreement is observed between the analytical predictions and a numerical solution of the full governing equations.

CITADO POR
  1. Jiang C.G., Jaber T.J., Bataller H., Saghir M.Z., Simulation of Ludwig–Soret effect of a water–ethanol mixture in a cavity filled with aluminum oxide powder under high pressure, International Journal of Thermal Sciences, 47, 2, 2008. Crossref

  2. Er-Raki M., Hasnaoui M., Amahmid A., Mamou M., Soret effect on the boundary layer flow regime in a vertical porous enclosure subject to horizontal heat and mass fluxes, International Journal of Heat and Mass Transfer, 49, 17-18, 2006. Crossref

  3. Alloui Z., Vasseur P., Natural Convection Induced by a Centrifugal Force Field in a Horizontal Annular Porous Layer Saturated with a Binary Fluid, Transport in Porous Media, 88, 1, 2011. Crossref

  4. Robillard L., Bahloul A., Vasseur P., HYDROMAGNETIC NATURAL CONVECTION OF A BINARY FLUID IN A VERTICAL POROUS ENCLOSURE, Chemical Engineering Communications, 193, 11, 2006. Crossref

  5. Yahiaoui M. A., Bahloul A., Vasseur P., Robillard L., NATURAL CONVECTION OF A BINARY MIXTURE IN A VERTICAL CLOSED ANNULUS, Chemical Engineering Communications, 194, 7, 2007. Crossref

  6. Bahloul Ali, Boundary layer and stability analysis of natural convection in a porous cavity, International Journal of Thermal Sciences, 45, 7, 2006. Crossref

  7. Charrier-Mojtabi Marie-Catherine, Mojtabi Abdelkader, Double-Diffusive Convection in Porous Media, in Handbook of Porous Media, Second Edition, 2005. Crossref

  8. Jha Basant Kumar, Joseph Sylvester Bakut, Ajibade Abiodun Olusegun, Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium, Ain Shams Engineering Journal, 6, 2, 2015. Crossref

  9. Khelifa Nabil Ben, Alloui Zineddine, Beji Hassen, Vasseur Patrick, Natural convection in a vertical porous cavity filled with a non-newtonian binary fluid, AIChE Journal, 58, 6, 2012. Crossref

  10. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref

  11. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2013. Crossref

  12. Ramambason D. S. Rakoto, Vasseur P., Influence of a magnetic field on natural convection in a shallow porous enclosure saturated with a binary fluid, Acta Mechanica, 191, 1-2, 2007. Crossref

  13. Bihiche K., Lamsaadi M., Hasnaoui M., Multiple steady state solutions for double-diffusive convection in a shallow horizontal rectangular cavity uniformly heated and salted from the side and filled with non-Newtonian power-law fluids, Journal of Non-Newtonian Fluid Mechanics, 283, 2020. Crossref

  14. Bouachir Amel, Mamou Mahmoud, Rebhi Redha, Benissaad Smail, Linear and Nonlinear Stability Analyses of Double-Diffusive Convection in a Vertical Brinkman Porous Enclosure under Soret and Dufour Effects, Fluids, 6, 8, 2021. Crossref

  15. Dubey Rashmi, Murthy P.V.S.N., Nonlinear stability of Prats flow in Brinkman porous medium with Soret effect, International Journal of Thermal Sciences, 179, 2022. Crossref

  16. Aouf Zakaria, Seladji Chakib, Thermosolutal Convection in a Porous Medium Cavity Subjected to Heat and Mass Flux: A Discrete Fracture Effect, Acta Universitatis Sapientiae, Electrical and Mechanical Engineering, 12, 1, 2020. Crossref

Próximos artigos

ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa Políticas de preços e assinaturas Begell House Contato Language English 中文 Русский Português German French Spain