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国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.2018025197
pages 219-228

DRAG ON A FLUID SPHERE EMBEDDED IN A POROUS MEDIUM WITH SOLID CORE

Krishnan Ramalakshmi
Vellore Institute of Technology, Chennai, Tamilnadu, 600 127, India
Pankaj Shukla
Department of Mathematics, Vellore Institute of Technology, Chennai-600127, India

ABSTRACT

This article explores the micropolar fluid flow past a fluid sphere enclosing a solid core which is embedded in a porous medium. Flow fields of the porous region and nonporous region are governed by Brinkman equation and Stokes equation, respectively. Explicit expressions for stream functions, velocities, and microrotation components are examined. The drag force accomplished by a fluid sphere placed inside the porous medium is evaluated. The drag coefficient and its dependence are analyzed numerically and graphically with variation of permeability parameter and viscosity ratio. Some well-known results are validated with past known cases.

REFERENCES

  1. Barman, B., Flow of a Newtonian Fluid past an Impervious Sphere Embedded in Porous Medium, Ind. J. Pure Appl. Math., vol. 27, pp. 1249–1256, 1996.

  2. Charya, D.S. and Murthy, J.V.R., Flow past an Axisymmetric Body Embedded in a Saturated Porous Medium, C.R. Mecanique, vol. 330, pp. 417–423, 2002.

  3. Deo, S. and Datta, S., Stokes Flow past a Slightly Deformed Fluid Sphere, Ind. J. Pure Appl. Math., vol. 34, pp. 755–764, 2003.

  4. Deo, S. and Gupta, B.R., Drag on a Porous Sphere Embedded in Another Porous Medium, J. Porous Media, vol. 13, pp. 1009–1016, 2010.

  5. Deo, S. and Shukla, P., Drag on a Fluid Sphere Embedded in a Porous Medium, Adv. Theor. Appl. Mech., vol. 3, pp. 45–52, 2010.

  6. Gupta, B.R. and Deo, S., Stokes Flow of Micropolar Fluid past a Porous Sphere with Non-Zero Boundary Condition for Microrotations, Int. J. Fluid Mech. Res., vol. 37, pp. 424–434, 2010.

  7. Happel, J. and Brenner, H., Low Reynolds Number Hydrodynamics, The Hague, the Netherlands: Martinus Nijoff Publishers, 1983.

  8. Masliyah, J.H. and Neale, G., Creeping Flow over a Composite Sphere: Solid Core with Porous Shell, Chem. Eng. Sci., vol. 42, pp. 245–253, 1987.

  9. Pal, D. and Mondal, H., Radiation Effects on Combined Convection over a Vertical Flat Plate Embedded in a Porous Medium of Variable Porosity, Meccanica, vol. 44, pp. 133–144, 2009.

  10. Pop, I. and Ingham, D.B., Flow past a Sphere Embedded in Porous Medium based on the Brinkman Model, Int. Commun. Heat Mass Transf., vol. 23, pp. 865–874, 1996.

  11. Ramkisson, H., Flow of Micropolar Fluid past a Newtonian Fluid Sphere, ZAMM J. Appl. Math. Mech., vol. 65, pp. 635–637, 1985.

  12. Ramkisson, H., Stokes Flow past a Slightly Deformed Fluid Sphere, ZAMP, vol. 37, pp. 859–866, 1986.

  13. Ramkisoon, H., Stokes Flow past a Reiner–Rivlin Liquid Sphere, Z. Angew Math. Mech., vol. 69, pp. 259–261, 1989.

  14. Shukla, P., Creeping Flow past a Porous Sphere with Solid Pore Embedded in Porous Medium, Elixir Appl. Math., vol. 59, pp. 15427–15431, 2013.

  15. Srivastava, B.G., Yadav, P.K., Deo, S., Singh, P.K., and Filippov, A., Hydrodynamic Permeability of a Membrane Composed of Porous Spherical Particles in the Presence of Uniform Magnetic Field, Colloid J., vol. 76, pp. 725–738, 2014.

  16. Yadav, P.K. and Deo, S., Stokes Flow past an Approximate Porous Spheroid Embedded in Another Porous Medium, Meccanica, vol. 47, pp. 1499–1516, 2012.

  17. Yadav, P.K., Deo, S., Singh, S.P., and Filippov, A., Effect of Magnetic Field on the Hydrodynamic Permeability of a Membrane Built up by Porous Spherical Particles, Colloid J., vol. 79, pp. 160–171, 2017.

  18. Yadav, P.K., Tiwari, A., Deo, S., Filippov, A., and Vasin, S., Hydrodynamic Permeability of Membranes Built up by Spherical Particles Covered by Porous Shells: Effect of Stress Jump Condition, Acta Mech., vol. 215, pp. 193–209, 2010.

  19. Zlatanovski, T., Axisymmetric Creeping Flow past a Porous Prolate Spheroidal Particle using the Brinkman Model, Q. J. Mech. Appl. Math., vol. 52, pp. 111–126, 1999.


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