Abonnement à la biblothèque: Guest

Effects of Throughflow and Internal Heat Generation on Convective Instabilities in an Anisotropic Porous Layer

Volume 5, Numéro 3, 2002, 12 pages
DOI: 10.1615/JPorMedia.v5.i3.20
Get accessGet access

RÉSUMÉ

Convective instabilities caused by a nonunlform temperature gradient due to vertical through/low and internal heat generation were investigated in an anisotropic porous layer. The boundaries are taken to be either impermeable or porous and are perfect conductors of heat. The Forchheimer-extended Darcy model is used to describe the/low in the porous medium. The resulting eigenvalue problem is solved numerically by the Galerkin method with a modified external Rayleigh number as the eigenvalue. Both anisotropic parameters (i.e., effective thermal diffusivity, h, and permeability, x) appear through their ratio h/xonly. We found that an increase in h/x increases the stability of the system. Furthermore, we observed that in the absence of internal heat generation, throughflow stabilizes when the boundaries are symmetric and destabilizes when they are asymmetric. However, if an internal heat source exists, throughflow destabilizes the system irrespective of the boundary types considered. A more precise control of the buoyancy-driven instability may be achieved by tuning the anisotropy parameters and internal heat source strength.

CITÉ PAR
  1. Srivastava Alok, Bhadauria B. S., Siddheshwar P. G., Hashim I., Heat Transport in an Anisotropic Porous Medium Saturated with Variable Viscosity Liquid Under G-jitter and Internal Heating Effects, Transport in Porous Media, 99, 2, 2013. Crossref

  2. Bhadauria B. S., Hashim I., Siddheshwar P. G., Study of Heat Transport in a Porous Medium Under G-jitter and Internal Heating Effects, Transport in Porous Media, 96, 1, 2013. Crossref

  3. Bhadauria B. S., Hashim I., Siddheshwar P. G., Effects of Time-Periodic Thermal Boundary Conditions and Internal Heating on Heat Transport in a Porous Medium, Transport in Porous Media, 97, 2, 2013. Crossref

  4. Gaikwad S.N., Kouser Shaheen, Onset of Darcy-Brinkman Convection in a Binary Viscoelastic Fluid-Saturated Porous Layer with Internal Heat Source, Heat Transfer-Asian Research, 42, 8, 2013. Crossref

  5. Bhadauria B. S., Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source, Journal of Applied Mathematics, 2016, 2016. Crossref

  6. Shankar B. M., Kumar Jai, Shivakumara I. S., Boundary and inertia effects on the stability of natural convection in a vertical layer of an anisotropic Lapwood–Brinkman porous medium, Acta Mechanica, 228, 6, 2017. Crossref

  7. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2013. Crossref

  8. Malashetty M. S., Shivakumara I. S., Kulkarni Sridhar, The Onset of Convection in an Anisotropic Porous Layer Using a Thermal Non-Equilibrium Model, Transport in Porous Media, 60, 2, 2005. Crossref

  9. Shankar B.M., Shivakumara I.S., Stability of Poiseuille flow in an anisotropic porous layer with oblique principal axes: More accurate solution, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 101, 2, 2021. Crossref

  10. Siddheshwar P.G., Vanishree R.K., Lorenz and Ginzburg-Landau equations for thermal convection in a high-porosity medium with heat source, Ain Shams Engineering Journal, 9, 4, 2018. Crossref

  11. Ali Samah A., Rudziva Munyaradzi, Sibanda Precious, Noreldin Osman A.I., Goqo Sicelo P., Mthethwa Hloniphile Sithole, A numerical study of double-diffusive convection in the anisotropic porous layer under rotational modulation with internal heat generation, International Communications in Heat and Mass Transfer, 137, 2022. Crossref

  12. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref

Prochains articles

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela 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
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections Prix et politiques d'abonnement Begell House Contactez-nous Language English 中文 Русский Português German French Spain