A Derivation of the Field Equations for Slow Viscous Flow through a Porous Medium

1979 ◽  
Vol 18 (1) ◽  
pp. 41-45 ◽  
Author(s):  
Florian K. Lehner
Keyword(s):  
Porous Medium ◽  
Viscous Flow ◽  
Field Equations ◽  
Slow Viscous Flow ◽  
Flow Through

scholarly journals On Steady MHD Thermally Radiating and Reacting Thermosolutal Viscous Flow through a Channel with Porous Medium

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Promise Mebine ◽  
Rhoda H. Gumus
Keyword(s):  
Porous Medium ◽  
Steady State ◽  
Boundary Value Problem ◽  
Viscous Flow ◽  
Nonlinear Boundary ◽  
Approximate Solutions ◽  
Nonlinear Boundary Value Problem ◽  
Arrhenius Kinetics ◽  
Flow Through ◽  
Steady State Solutions

This paper investigates steady-state solutions to MHD thermally radiating and reacting thermosolutal viscous flow through a channel with porous medium. The reaction is assumed to be strongly exothermic under generalized Arrhenius kinetics, neglecting the consumption of the material. Approximate solutions are constructed for the governing nonlinear boundary value problem using WKBJ approximations. The results, which are discussed with the aid of the dimensionless parameters entering the problem, are seen to depend sensitively on the parameters.

End Correction for Slow Viscous Flow through Long Tubes

1962 ◽  
Vol 5 (9) ◽  
pp. 1033 ◽  
Author(s):  
Harold L. Weissberg
Keyword(s):  
Viscous Flow ◽  
Slow Viscous Flow ◽  
Flow Through

Slow viscous flow due to motion of an annular disk; pressure-driven extrusion through an annular hole in a wall

1991 ◽  
Vol 231 ◽  
pp. 51-71 ◽  
Author(s):  
A. M. J. Davis
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Viscous Flow ◽  
Integral Equations ◽  
Bessel Functions ◽  
Annular Disk ◽  
Slow Viscous Flow ◽  
Triple Integral Equations ◽  
Flow Through ◽  
Pressure Driven

The description of the slow viscous flow due to the axisymmetric or asymmetric translation of an annular disk involves the solution of respectively one or two sets of triple integral equations involving Bessel functions. An efficient method is presented for transforming each set into a Fredholm integral equation of the second kind. Simple, regular kernels are obtained and the required physical constants are readily available. The method is also applied to the pressure-driven extrusion flow through an annular hole in a wall. The velocity profiles in the holes are found to be flatter than expected with correspondingly sharper variation near a rim. For the sideways motion of a disk, an exact solution is given with bounded velocities and both components of the rim pressure singularity minimized. The additional drag experienced by this disk when the fluid is bounded by walls parallel to the motion is then determined by solving a pair of integral equations, according to methods given in an earlier paper.

Slow Viscous Flow through a Mass of Particles

1954 ◽  
Vol 46 (6) ◽  
pp. 1194-1195 ◽  
Author(s):  
John Happel ◽  
Tetsuji Motai ◽  
Shigeo Uchida
Keyword(s):  
Viscous Flow ◽  
Slow Viscous Flow ◽  
Flow Through
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