Suscripción a Biblioteca: Guest

Stokes Flow Past a Swarm of Deformed Porous Spheroidal Particles with Happel Boundary Condition

Volumen 12, Edición 4, 2009, pp. 347-359
DOI: 10.1615/JPorMedia.v12.i4.50
Get accessGet access

SINOPSIS

This article concerns the problem of slow flow of an incompressible viscous fluid past and through a swarm of deformed porous spheroidal particles with the Happel boundary condition. The Brinkman equation for the flow inside the porous region and the Stokes equation for the outside region in their stream function formulations are used. As boundary conditions, continuity of velocity and surface stresses across the porous surface and the Happel boundary condition on the cell surface are employed. Explicit expressions of the stream functions are investigated for both inside and outside flow fields to the first order in small parameters characterizing the deformation. As a particular case, the flow past a swarm of porous oblate spheroidal particles is considered. The drag force experienced by each porous oblate spheroidal particle in a cell is evaluated. The dependence of the drag force on permeability for porous oblate spheroids for various values of the deformation parameter in unbounded media and for a perfect porous sphere in a cell is presented graphically and discussed. New results for the drag force experienced by a solid oblate spheroid and for a perfect porous sphere in a cell are also reported. The earlier known results are then also deduced from the present analysis.

CITADO POR
  1. Mattsson Tuve, Sedin Maria, Theliander Hans, Zeta-potential and local filtration properties: Constitutive relationships for TiO2 from experimental filtration measurements, Chemical Engineering Science, 66, 20, 2011. Crossref

  2. Prakash Jai, Raja Sekhar G. P., Estimation of the dynamic permeability of an assembly of permeable spherical porous particles using the cell model, Journal of Engineering Mathematics, 80, 1, 2013. Crossref

  3. Yadav Pramod Kumar, Deo Satya, Stokes flow past a porous spheroid embedded in another porous medium, Meccanica, 47, 6, 2012. Crossref

  4. Tiwari Ashish, Deo Satya, Filippov Anatoly, Effect of the magnetic field on the hydrodynamic permeability of a membrane, Colloid Journal, 74, 4, 2012. Crossref

  5. Saad E. I., Stokes flow past an assemblage of axisymmetric porous spherical shell-in-cell models: effect of stress jump condition, Meccanica, 48, 7, 2013. Crossref

  6. Yadav Pramod Kumar, Deo Satya, Yadav Manoj Kumar, Filippov Anatoly, On hydrodynamic permeability of a membrane built up by porous deformed spheroidal particles, Colloid Journal, 75, 5, 2013. Crossref

  7. Wetterling Jonas, Mattsson Tuve, Theliander Hans, Effects of surface structure on the filtration properties of microcrystalline cellulose, Separation and Purification Technology, 136, 2014. Crossref

  8. Jaiswal B. R., Gupta B. R., Cell models for viscous flow past a swarm of Reiner–Rivlin liquid spherical drops, Meccanica, 52, 1-2, 2017. Crossref

  9. Yadav Pramod Kumar, Tiwari Ashish, Singh Priyanka, Hydrodynamic permeability of a membrane built up by spheroidal particles covered by porous layer, Acta Mechanica, 229, 4, 2018. Crossref

  10. Madasu Krishna Prasad, Kaur Manpreet, Bucha Tina, Slow Motion Past a Spheroid Implanted in a Brinkman Medium : Slip Condition, International Journal of Applied and Computational Mathematics, 7, 4, 2021. Crossref

Próximos Artículos

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 Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones Precios y Políticas de Suscripcione Begell House Contáctenos Language English 中文 Русский Português German French Spain