Perturbation method in gas-assisted power-law fluid displacement in a circular tube and a rectangular channel

1999 ◽  
Vol 75 (3) ◽  
pp. 167-176 ◽  
Author(s):  
F Kamisli
Keyword(s):  
Perturbation Method ◽  
Power Law ◽  
Circular Tube ◽  
Rectangular Channel ◽  
Power Law Fluid ◽  
Fluid Displacement

Diffusion and reaction in turbulent flow of a power-law fluid in a circular tube

AIChE Journal ◽  
1975 ◽  
Vol 21 (4) ◽  
pp. 752-756 ◽  
Author(s):  
V. Mohan ◽  
J. Raghuraman ◽  
D. T. Wasan
Keyword(s):  
Turbulent Flow ◽  
Power Law ◽  
Circular Tube ◽  
Power Law Fluid

scholarly journals Determination of the Thickness of a Power-Law Fluid Driven by the Penetration of a Long Gas Bubble in a Rectangular Channel Using a Singular Perturbation Method

2008 ◽  
Vol 2 (1) ◽  
pp. 89-96
Author(s):  
C. Escobar ◽  
F. Méndez ◽  
E. Luna
Keyword(s):  
Singular Perturbation ◽  
Film Thickness ◽  
Power Law ◽  
Numerical Study ◽  
Perturbation Technique ◽  
Rectangular Channel ◽  
Immiscible Fluid ◽  
Power Law Fluid ◽  
Singular Perturbation Technique ◽  
Residual Film

In the present work an analytical and numerical study is presented in order to determine the residual fluid film thickness of a power-law fluid on the walls of a rectangular horizontal channel when it is displaced by another immiscible fluid of negligible viscosity. The mathematical model describes the motion of the displaced fluid and the interface between both fluids. In order to obtain the residual film thickness, m , we used a singular perturbation technique: the matching asymptotic method; in the limit of small capillary number, Ca . The main results indicated that the residual film thickness of the non-Newtonian fluid decreases for decreasing values of the power-law index, which is in qualitative agreement with experimental results.

Free Convective Heat and Mass Transfer in a Doubly Stratified Porous Medium Saturated with a Power-Law Fluid

2009 ◽  
Vol 36 (6) ◽  
pp. 524-537 ◽  
Author(s):  
P. A. Lakshmi Narayana ◽  
P. V. S. N. Murthy ◽  
P. V. S. S. S. R. Krishna ◽  
Adrian Postelnicu
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Convective Heat ◽  
Power Law ◽  
Power Law Fluid
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