Unsteady dissipative structures in non-Newtonian fluid flow through a porous medium

1994 ◽  
Vol 29 (6) ◽  
pp. 827-833
Author(s):  
Kh. F. Azizov
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Dissipative Structures ◽  
Flow Through

Numerical Modeling of Non-Newtonian Fluid Flow in a Porous Medium Using a Three-Dimensional Periodic Array

1998 ◽  
Vol 120 (1) ◽  
pp. 131-135 ◽  
Author(s):  
Masahiko Inoue ◽  
Akira Nakayama
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Pressure Drop ◽  
Pressure Gradient ◽  
Newtonian Fluid ◽  
Three Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Inertia Effects ◽  
Flow Through

Three-dimensional numerical experiments have been conducted to investigate the viscous and porous inertia effects on the pressure drop in a non-Newtonian fluid flow through a porous medium. A collection of cubes placed in a region of infinite extent has been proposed as a three-dimensional model of microscopic porous structure. A full set of three-dimensional momentum equations is treated along with the continuity equation at a pore scale, so as to simulate a flow through an infinite number of obstacles arranged in a regular pattern. The microscopic numerical results, thus obtained, are processed to extract the macroscopic relationship between the pressure gradient-mass flow rate. The modified permeability determined by reading the intercept value in the plot showing the dimensionless pressure gradient versus Reynolds number closely follows Christopher and Middleman’s formula based on a hydraulic radius concept. Upon comparing the results based on the two- and three-dimensional models, it has been found that only the three-dimensional model can capture the porous inertia effects on the pressure drop, correctly. The resulting expression for the porous inertia possesses the same functional form as Ergun’s, but its level is found to be only one third of Ergun’s.

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through

Pore-Scale Modeling of Non-Newtonian Fluid Flow Through Micro-CT Images of Rocks

2018 ◽  
pp. 363-375
Author(s):  
Moussa Tembely ◽  
Ali M. AlSumaiti ◽  
Khurshed Rahimov ◽  
Mohamed S. Jouini
Keyword(s):  
Fluid Flow ◽  
Newtonian Fluid ◽  
Ct Images ◽  
Micro Ct ◽  
Pore Scale ◽  
Scale Modeling ◽  
Pore Scale Modeling ◽  
Flow Through
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