The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls

1976 ◽  
Vol 10 (1) ◽  
pp. 23-40 ◽  
Author(s):  
W. A. Robinson
Keyword(s):  
Laminar Flow ◽  
Multiple Solutions ◽  
Porous Channel

Laminar Flow in a Uniformly Porous Tube

1962 ◽  
Vol 29 (1) ◽  
pp. 201-204 ◽  
Author(s):  
F. M. White
Keyword(s):  
Laminar Flow ◽  
Power Series ◽  
General Analysis ◽  
Porous Channel ◽  
Physical Reason ◽  
Fully Developed Flow ◽  
Wall Suction ◽  
Porous Tube ◽  
Series Form ◽  
Previous Solution

A solution is given in power series form to the problem of fully developed laminar flow in a uniformly porous tube. Although the general analysis is similar to a previous solution for a porous channel, the present tube results exhibit marked instabilities for wall suction, in contrast to the well-behaved channel results. A physical reason for the instabilities has been given in a recent paper by Weissberg, whose analysis of the inlet region indicates a breakdown in the assumption of fully developed flow.

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