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.

Laminar Flow in a Porous Tube With Suction

1975 ◽  
Vol 97 (1) ◽  
pp. 66-71 ◽  
Author(s):  
J. P. Quaile ◽  
E. K. Levy
Keyword(s):  
Experimental Investigation ◽  
Laminar Flow ◽  
Velocity Profile ◽  
Circular Tube ◽  
Wall Suction ◽  
Porous Tube ◽  
Inlet Velocity ◽  
Uniform Wall ◽  
Steady Laminar

A theoretical and experimental investigation of the flow in a porous tube with wall suction is described. The flow is steady, laminar, and incompressible with the fluid entering at one end of the circular tube and flowing out through the porous circumferential surface. The study is limited to an inlet velocity profile parabolic in shape and to the case of uniform wall suction.

Laminar flow in a porous channel with large wall suction and a weakly oscillatory pressure

2002 ◽  
Vol 14 (3) ◽  
pp. 1101-1110 ◽  
Author(s):  
Todd A. Jankowski ◽  
Joseph Majdalani
Keyword(s):  
Laminar Flow ◽  
Porous Channel ◽  
Wall Suction ◽  
Oscillatory Pressure

Measurement of Laminar Flow Development in a Square Duct Using a Laser-Doppler Flowmeter

1967 ◽  
Vol 34 (4) ◽  
pp. 813-818 ◽  
Author(s):  
R. J. Goldstein ◽  
D. K. Kreid
Keyword(s):  
Laminar Flow ◽  
Precision Measurement ◽  
Fluid Velocity ◽  
Flow Distribution ◽  
Flow Region ◽  
Optical Technique ◽  
Fully Developed Flow ◽  
Square Duct ◽  
Flow Development ◽  
Doppler Flowmeter

A system for precision measurement of fluid velocity is developed and applied to determine the laminar flow distribution in a square duct. The experimental technique consists of measuring the Doppler shift of laser radiation scattered by particles moving with the fluid. From this frequency shift, the fluid velocity is inferred. Measurements in the entrance region and fully developed flow region of a square duct indicate that the velocity profile development takes place in a somewhat longer section of the duct than had been predicted. Measurements of the fully developed flow indicate that the optical technique used is capable of measuring velocity within an accuracy of at least 0.1 percent.

Laminar flow in channels with wall suction or injection: a new model to study multi-channel filtration systems

2004 ◽  
Vol 59 (5) ◽  
pp. 1039-1051 ◽  
Author(s):  
Laurent Oxarango ◽  
Philippe Schmitz ◽  
Michel Quintard
Keyword(s):  
Laminar Flow ◽  
Wall Suction ◽  
New Model ◽  
Suction Or Injection

scholarly journals EXPRESSIONS OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS BY STANDARD FUNCTIONS

2006 ◽  
Vol 11 (4) ◽  
pp. 399-412 ◽  
Author(s):  
Z. Navickas ◽  
L. Bikulčiene
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Series Solutions ◽  
Series Form ◽  
Finite Sum

It is well known that solutions of many ordinary differential equations allow presentation in the power series form. In the paper we introduce and analyze rigorous conditions under which the later series (solutions) can be reduced to a finite sum of standard functions. Some areas of practical applicability of the proposed algorithm are discussed.

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