Suscripción a Biblioteca: Guest

MOTION OF A POROUS SPHERICAL SHELL IN A SPHERICAL CONTAINER

Volumen 10, Edición 6, 2019, pp. 525-537
DOI: 10.1615/SpecialTopicsRevPorousMedia.2020029302
Get accessGet access

SINOPSIS

In this paper slow motion of a porous spherical shell with radially varying permeability in a spherical container at the instant it passes through the center of the spherical container is discussed. The container is filled by a viscous incompressible fluid. Flow outside the porous spherical shell is governed by the Stokes equation and inside the spherical shell by the Brinkman equation. The boundary conditions used at the surface of the porous spherical shell are the continuity of velocity and stress and the no-slip condition is used on qn impermeable sphere. Exact solution of the problem is obtained and relevant quantities such as stream lines, velocity, pressure, wall correction factor, and drag on surface of the spherical shell are obtained. The influence of the permeability parameter on the flow has been discussed and exhibited graphically. We found that decrease in permeability of the porous shell caused increase in drag and wall correction factor. In the limit case obtained results reduce to the well known classical results.

REFERENCIAS
  1. Ansari, I.A. and Deo, S., Magnetohydrodynamic Viscous Fluid Flow past a Porous Sphere Embedded in Another Porous Medium, Spec. Topics Rev. Porous Media Int. J, vol. 9, no. 2, pp. 191-200,2018.

  2. Awasthi, M., Pandya, N., and Datta, S., Effect of Permeabilities on the Translational Motion of a Spherical Particle with Porous Core in a Concentric Spherical Cavity, Eur. J. Adv. Eng. Technol., vol. 2, no. 9, pp. 52-58,2015.

  3. Brinkman, H.C., A Calculation of the Viscous Force Exerted by a Flowing Fluid on a Dense Swarm of Particles, Appl. Sci. Res., A, vol. 1,pp. 27-34,1947.

  4. Chikh, S., Boumedien, A., Bouhadef, K., and Lauriat, G., Analytical Solution of Non-Darcian Forced Convection in an Annular Duct Partially Filled with a Porous Medium, Int. J. Heat Mass Transf., vol. 38, pp. 1543-1551,1995.

  5. Deo, S. and Gupta, B.R., Stokes Flow past a Swarm of Porous Approximately Spheroidal Particles with Kuwabara Boundary Condition, Acta Mech, vol. 203, pp. 241-254,2009.

  6. Haberman, W.L. and Sayre, R.M., Wall Effects for Rigid and Fluid Spheres in Slow Motion with a Moving Liquid. David Taylor Model, US Navy, Washington, D.C., Basin Report No. 1143,1958.

  7. Keh, H.J. andChou, J., Creeping Motion of a Composite Sphere in Spherical Cavity, Chem. Eng. Sci, vol. 59, pp. 407-415,2004.

  8. Liu, S. and Masliyah, J.H., Dispersion in Porous Media, in Handbook of Porous Media, New York, NY: Taylor and Francis, pp. 81-140,2005.

  9. Prakash, J. and Raja Sekhar, G.P., Slow Motion of a Porous Spherical Particle with a Rigid Core in a Spherical Fluid Cavity, Meccanica, vol. 52, no. 1, pp. 91-105,2017.

  10. Ramkissoon, H. and Rahman, K., Wall Effects on a Spherical Particle, Int. J. Eng. Sci., vol. 41, pp. 283-290,2003.

  11. Saad, E.I., Translation and Rotation of a Porous Spheroid in a Spheroidal Container, Can. J. Phys., vol. 88, pp. 689-700,2010.

  12. Saad, E.I. and Faltas, M.S., Slow Motion of a Porous Sphere Translating along the Axis of a Circular Cylindrical Pore Subject to a Stress Jump Condition, Transp. Porous. Med., vol. 102, no. 1, pp. 91-109,2014.

  13. Saxena, P. and Agarwal, M., A Study of the Effect of Transverse Magnetic Field on the Rotation of a Solid Sphere in a Viscous Fluid Bounded by a Concentric Spherical Porous Medium, Spec. Topics Rev. Porous Media Int. J, vol. 7, no. 1, pp. 1-13,2016.

  14. Srinivasacharya, D., Motion of a Porous Sphere in a Spherical Container, C.R. Mecanique, vol. 333, pp. 612-616,2005.

  15. Srinivasacharya, D., Axi-Symmetric Motion of a Porous Approximate Spherical Container, Arch. Mech., vol. 65, no. 6, pp. 485-509,2013.

  16. Srinivasacharya, D. and Prasad, M.K., Rotation of a Porous Approximate Sphere in an Approximate Spherical Container, Latin Am. Appl. Res., vol. 45, no. 2, pp. 107-112,2015.

  17. Verma, V.K. and Dixit, P.K., Flow past Porous Spherical Shell with Radial Variation of Permeability, Spec. Topics Rev. Porous Media Int. J, vol. 7, no. 3, pp. 299-307,2016.

  18. Verma, V.K. and Dixit, P.K., Flow past a Porous Sphere of Radially Varying Permeability Embedded in Another Porous Medium, Spec. Topics Rev. Porous Media Int. J., vol. 8, no. 3, pp. 231-243,2017.

Próximos Artículos

HYDROMAGNETIC CASSON FLUID FLOW ACROSS AN INCLINED VERTICAL SURFACE IN POROUS CHANNEL WITH BUOYANCY AND THERMO-DIFFUSION EFFECTS Sowmiya C, Rushi Kumar B Effect of Helical Force on Thermal Convection of a Ferrofluid: A Weakly Non-linear Theory Jagathpally Sharathkumar Reddy, Kishan N, Shiva Kumar Reddy G, Ravi Ragoju STABILITY ANALYSIS OF A COUPLE-STRESS FLUID WITH VARIABLE GRAVITY IN A POROUS MEDIUM FOR DIFFERENT CONDUCTING BOUNDARIES Shalu Choudhary, Reeta Devi, Amit Mahajan, Sunil Sunil CREEPING FLOW ABOUT A TAINTED LIQUID DROP WITH A MICROPOLAR FLUID AND ALIGNED IN A POROUS MEDIUM FILLED WITH VISCOUS FLUID UTILISING SLIP PHANI KUMAR MEDURI, VIJAYA LAKSHMI KUNCHE Reviewing the Impact of Magnetic Prandtl Number and Magnetic Force Parameter on Convective Heat Transfer in Boundary Layers Hossam Nabwey, Muhammad Ashraf, Zia Ullah, Ahmed M. Rashad, Ali J. Chamkha Spectral Analysis for Entropy Generation and Irreversibility on NiZnFe_2O_4 – Engine Oil based Fluids RamReddy Chetteti, Sweta ., Pranitha Janapatla Study of global stability of rotating partially-ionized plasma saturating a porous medium Vishal Chandel, Sunil Kumar, Poonam Sharma Porous Medium Influenced Dissipative Hybrid Casson Nanofluid Flow over a Nonlinearly Stretching Sheet under Inclined Ohmic Lorentz Force Field A. R. Deepika, K. Govardhan, Hussain Basha, G Janardhana Reddy Effect of Motile Gyrotactic Microorganisms on Arterial Stenosis Sisko Nanofluid Flow Through Porous Medium : A Numerical Study Galal Moatimid, Mona Mohamed, Khaled Elagamy, Ahmed Gaber ELECTROTHERMOSOLUTAL CONVECTION IN NANOFLUID SATURATING POROUS MEDIUM Pushap Lata Sharma, Mohini Kapalta EFFECT OF VARIABLE GRAVITY ON THERMAL CONVECTION IN ROTATING JEFFREY NANOFLUID: DARCY-BRINKMAN MODEL Deepak Bains, Pushap Lata Sharma, Gian C. Rana Activation energy effect on MHD convective Maxwell nanofluid flow with Cattaneo-Christove heat flux over a porous stretching sheet JYOTHI NAGISETTY, VIJAYA KUMAR AVULA GOLLA Effects of different fins on Maxwell liquid under hybrid surveys of magnetic and porous material in presence of radiation factors Pooya Pasha, Payam Jalili, Bahram Jalili, Loghman Mostafa, Ahmed Mohammed Mahmood, Hussein Abdullah Abbas, D.D. Ganji
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