NDLI: Slow Motion of a Porous Cylindrical Shell in a concentric cylindrical cavity

Content Provider	Springer Nature Link
Author	Yadav, Pramod Kumar
Copyright Year	2013
Abstract	This paper concerns the Slow Motion of a Porous Cylindrical Shell in a concentric cylindrical cavity using particle-in-cell method. The Brinkman’s equation in the porous region and the Stokes equation for clear fluid in their stream function formulations are used. The hydrodynamic drag force acting on each porous cylindrical particle in a cell and permeability of membrane built up by cylindrical particles with a porous shell are evaluated. Four known boundary conditions on the hypothetical surface are considered and compared: Happel’s, Kuwabara’s, Kvashnin’s and Cunningham’s (Mehta-Morse’s condition). Some previous results for hydrodynamic drag force and dimensionless hydrodynamic permeability have been verified. Variation of the drag coefficient and dimensionless hydrodynamic permeability with permeability parameter σ, particle volume fraction γ has been studied and some new results are reported. The flow patterns through the regions have been analyzed by stream lines. Effect of particle volume fraction γ and permeability parameter σ on flow pattern is also discussed. In our opinion, these results will have significant contributions in studying, Stokes flow through cylindrical swarms.
Starting Page	1607
Ending Page	1622
Page Count	16
File Format	PDF
ISSN	00256455
Journal	Meccanica
Volume Number	48
Issue Number	7
e-ISSN	15729648
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-01-16
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Stokes equation Brinkman equations Modified Bessel functions Cell models Mechanics Civil Engineering Automotive Engineering Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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