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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 63
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 5, October 2012
  4. Stokes flow between eccentric rotating spheres with slip regime
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 6, December 2012
Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 5, October 2012
Global dynamics of delayed reaction–diffusion equations in unbounded domains
General decay for a von Karman equation of memory type with acoustic boundary conditions
Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
Some stability estimates for the symmetrized first eigenfunction of certain elliptic operators
Two isoperimetric inequalities for the Sobolev constant
Global existence of strong solutions of Navier–Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids
Oblique wave scattering by an impermeable ocean-bed of variable depth in a two-layer fluid with ice-cover
Stokes flow between eccentric rotating spheres with slip regime
Covariantization of nonlinear elasticity
Hinged and supported plates with corners
Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation
About an analytical application of the spherical symmetric diffusion equation
Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 4, August 2012
Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 3, June 2012
Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 2, April 2012
Zeitschrift für angewandte Mathematik und Physik : Volume 63, Issue 1, February 2012
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Stokes flow between eccentric rotating spheres with slip regime

Content Provider SpringerLink
Author Faltas, M. S. Saad, E. I.
Copyright Year 2012
Abstract The steady axisymmetric flow problem of a viscous fluid contained between two eccentric spheres that rotate about an axis joining their centers with different angular velocities is considered. A linear slip of Basset-type boundary condition at both surfaces of the spherical particle and the container is used. Under the Stokesian assumption, a general solution is constructed from the superposition of basic solutions in the spherical coordinate systems based on the inner solid particle and the spherical container. The boundary conditions on the particle’s surface and spherical container are satisfied by a collocation technique. Numerical results for the coupling coefficient acting on the particle are obtained with good convergence for various values of the ratio of particle-to-container radii, the relative distance between the centers of the particle and container, the slip coefficients and the relative angular velocity. In the limiting cases, the numerical values of the coupling coefficient for the solid sphere in concentric position with the container and when the particle is near the inner surface of the container are obtained, and the results are in good agreement with the available values in the literature. The variation of the coupling coefficient with respect the parameters considered are tabulated and displayed graphically.
Ending Page 919
Page Count 15
Starting Page 905
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 5
Volume Number 63
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2012-04-17
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematical Methods in Physics Normalized coupling coefficient Slip condition Non-Newtonian fluids Eccentric spheres Theoretical and Applied Mechanics Stokes flow
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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