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Fluid Dynamics

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01-11-2020

Rotational Oscillations of a Porous Spherical Shell in Viscous Fluid

Authors: O. A. Bazarkina, N. G. Taktarov

Published in: Fluid Dynamics | Issue 6/2020

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Abstract—

Viscous fluid flows induced by rotational oscillations of a submerged porous spherical shell are determined. The analytical solutions of the time-dependent Brinkman equation inside the porous shell and the Navier–Stokes equation outside the shell are obtained in the Stokes approximation. The moment of the friction forces exerted on the control surface around the porous body is determined. The solutions obtained are analyzed. Various particular cases including the case of uniform shell rotation are considered.

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Happel, J. and Brenner, H., Low Reynolds Number Hydrodynamics. Englewood Cliffs, N. J.: Prentice-Hall, 1965.MATH

Jones, I.P., Low Reynolds number flow past a porous spherical shell, Math. Proc. Camb. Phis. Soc., 1973, vol. 73, no. 1, pp. 231–238.CrossRefADS

Rajvanshi, S.C. and Wasu, S., Slow extensional flow past a non-homogeneous porous spherical shell, Int.J. Applied Mechanics and Engineering, 2013, vol. 18, no 2, pp. 491–502.ADS

Deo, S., Yadav, P.K., and Tiwari, A., Slow viscous flow through a membrane built up from porous cylindrical particles with an impermeable core, Appl. Math. Modelling, 2010, vol. 34, no. 5, pp. 1329–1343.MathSciNetCrossRef

Ochoa-Tapia J.A. and Whitaker, S., Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I. Theoretical development, Int. J. Heat and Mass Transfer, 1995, vol. 38, no. 14, pp. 2635–2646.CrossRef

Ochoa-Tapia J.A. and Whitaker S., Momentum transfer at the boundary between a porous medium and a homogeneous fluid. – II. Comparison with experiment, Int. J. Heat and Mass Transfer, 1995, vol. 38, no. 14, pp. 2647–2655.CrossRef

Tilton, N. and Cortelezzi, L., Linear stability analysis of pressure-driven flows in channels with porous walls, J. Fluid Mech., 2008, vol. 604, pp. 411–445.MathSciNetCrossRefADS

Brinkman, H.C., A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl. Sci. Res., 1947, vol. A1, no. 1, pp. 27–34.MATH

Auriault, J.–L., On the domain of validity of Brinkman’s equation, Transp. Porous Med., 2009, vol. 79, no. 2, pp. 215–223.MathSciNetCrossRef

10.

Alazmi, B. and Vafai, K., Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer, Int. J. Heat and Mass Transfer, 2001, vol. 44, no. 9, pp. 1735–1749.CrossRef

11.

Goyeau, B., Lhuillier, D., Gobin, D., and Velarde M.G., Momentum transport at a fluid-porous interface, Int. J. of Heat and Mass Transfer, 2003, vol. 46, no. 21, pp. 4071–4081.CrossRef

12.

Landau, L.D. and Lifshitz, E.M., Theoretical Physics, vol. 6. Fluid Mechanics. New York: Pergamon, 2013.

13.

Taktarov, N.G., Viscous fluid flow induced by rotational–oscillatory motion of a porous sphere, Fluid Dynamics, 2016, vol. 51, no. 5, pp. 703–708.MathSciNetCrossRef

14.

Taktarov, N.G. and Runova, O.A., Forces and moments exerted on a porous spherical body in viscous fluid within the framework of the Brinkman model, Izv. Vuzov, Povolzhskii Region. Fiz.-Mat. Nauki, 2018, no. 2 (46), pp. 27–37.

Title: Rotational Oscillations of a Porous Spherical Shell in Viscous Fluid
Authors: O. A. Bazarkina
N. G. Taktarov
Publication date: 01-11-2020
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue 6/2020
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S001546282006004X

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