Abonnement à la biblothèque: Guest

STATIONARY CONVECTION IN A CYLINDRICAL POROUS LAYER SUBJECTED TO G-GITTER

Volume 23, Numéro 2, 2020, pp. 187-193
DOI: 10.1615/JPorMedia.2020029096
Get accessGet access

RÉSUMÉ

An analytical investigation for the onset of convection in a vertical fluid-saturated cylindrical porous layer is presented when gravity-modulated vibration (g-gitter) is present. For the current configuration, the temperature gradient is colinear with the plane of the vibration. A linear stability analysis is used to determine the convection threshold in terms of the critical Rayleigh number, and a comparison is made with the critical Rayleigh number computed for the rectangular porous layer subjected to vibration. The results indicate that the presence of vibration stabilizes the convection (i.e., increases the magnitude of the Rayleigh number) across the range vibration frequencies. Of particular interest is the fact that for stationary convection, the frequency bandwidth for convection is smaller for the rectangular porous layer than for the cylindrical porous layer, thus indicating the effect of geometry on stability criteria.

RÉFÉRENCES
  1. Bardan, G. and Mojtabi, A., On the Horton-Rogers-Lapwood Convective Instability with Vertical Vibration: Onset of Convection, Phys. Fluids, vol. 12, pp. 2723-2731, 2000.

  2. Bardan, G., Razi, Y.P., and Mojtabi, A., Comments on the Mean Flow Averaged Model, Phys. Fluids, vol. 16, pp. 4535-4538, 2004.

  3. Chandrasekhar, S., Ed., Hydrodynamic andHydromagnetic Stability, Oxford, UK: Oxford University Press, 1961.

  4. Christov, C.I. and Homsy, G.M., Nonlinear Dynamics of Two-Dimensional Convection in a Vertically Stratified Slot with and without Gravity Modulation, J. FluidMech., vol. 430, pp. 335-360, 2001.

  5. Faraday, M., On Peculiar Class of Acoustical Figures, and on Certain Forms Assumed by Groups of Particles upon Vibrating Elastic Surfaces, Philos. Trans. R. Soc. London, vol. 121, pp. 299-340, 1831.

  6. Gershuni, G.Z., Zhukhovitskiy, E.M., and Iurkov, S., On Convective Stability in the Presence of Periodically Varying Parameter, J. Appl. Math. Mech, vol. 34, pp. 470-480, 1970.

  7. Gershuni, G.Z. and Luyibimov, D.U., Thermal Vibrational Convection, New York: Wiley, 1998.

  8. Govender, S., Stability of Convection in a Gravity Modulated Porous Layer Heated from below, Transp. Porous Media, vol. 57, no. 1,pp. 113-123,2004.

  9. Govender, S., Linear Stability and Convection in a Gravity Modulated Porous Layer Heated from below: Transition from Synchronous to Sub-Harmonic Solutions, Transp. Porous Media, vol. 59, no. 2, pp. 227-238, 2005a.

  10. Govender, S., Stability Analysis of a Porous Layer Heated from below and Subjected to Low Frequency Vibration: Frozen Time Analysis, Transp. Porous Media, vol. 59, no. 2, pp. 239-247, 2005b.

  11. Govender, S., Weak Non-Linear Analysis of Convection in a Gravity Modulated Porous Layer, Transp. Porous Media, vol. 60, no. 1,pp. 33-42, 2005c.

  12. Govender, S., Stability of Gravity Driven Convection in a Cylindrical Porous Layer Subjected to Vibration, Transp. Porous Media, vol. 63, pp. 489-502, 2006.

  13. Gresho, P.M. and Sani, R.L., The Effects of Gravity Modulation on the Stability of a Heated Fluid Layer, J. Fluid Mech, vol. 40, pp. 783-806, 1970.

  14. Hirata, K., Sasaki, T., and Tanigawa, H., Vibrational Effect on Convection in a Square Cavity at Zero Gravity, J. Fluid Mech., vol. 445, pp. 327-344,2001.

  15. Nield, D.A. and Bejan, A., Convection in a Porous Medium, New York: Springer, 2013.

  16. Wadih, M. and Roux, B., Natural Convection in a Long Vertical Cylinder under Gravity Modulation, J. Fluid Mech, vol. 193, pp. 391-415, 1988.

  17. Zebib, A., Onset of Natural Convection in a Cylinder of Water Saturated Porous Media, Phys. Fluids, vol. 21, pp. 699-700,1978.

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