Demonstration and application of NMM‐based fractured porous medium flow model

2020 ◽  
Vol 45 (1) ◽  
pp. 132-153 ◽  
Author(s):  
Qi‐Hua Zhang ◽  
Shao‐Zhong Lin ◽  
Hai‐Dong Su ◽  
Gen‐Hua Shi
Keyword(s):  
Porous Medium ◽  
Flow Model ◽  
Fractured Porous Medium ◽  
Medium Flow ◽  
Porous Medium Flow

Duality and stability of MHD Darcy–Forchheimer porous medium flow of rotating nanofluid on a linear shrinking/stretching sheet: Buongiorno model

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Jawad Raza ◽  
Sumera Dero ◽  
Liaquat Ali Lund ◽  
Zurni Omar
Keyword(s):  
Porous Medium ◽  
Stability Analysis ◽  
Differential Equations ◽  
Shrinking Sheet ◽  
Dual Nature ◽  
Content Type ◽  
Great Achievement ◽  
Medium Flow ◽  
Buongiorno Model ◽  
Porous Medium Flow

Purpose The purpose of study is to examine the dual nature of the branches for the problem of Darcy–Forchheimer porous medium flow of rotating nanofluid on a linearly stretching/shrinking surface under the field of magnetic influence. The dual nature of the branches confronts the uniqueness and existence theorem, moreover, mathematically it is a great achievement. For engineering purposes, this study applied a linear stability test on the multiple branches to determine which solution is physically reliable (stable). Design/methodology/approach Nanofluid model has been developed with the help of Buongiorno model. The partial differential equations in space coordinates for the law of conservation of mass, momentum and energy have been transformed into ordinary differential equations by introducing the similarity variables. Two numerical techniques, namely, the shooting method in Maple software and the three-stage Lobatto IIIA method in Matlab software, have been used to find multiple branches and to accomplish stability analysis, respectively. Findings The parametric investigation has been executed to find the multiple branches and explore the effects on skin friction, Sherwood number, Nusselt number, concentration and temperature profiles. The findings exhibited the presence of dual branches only in the case of a shrinking sheet. Originality/value The originality of work is a determination of multiple branches and the performance of the stability analysis of the branches. It has also been confirmed that such a study has not yet been considered in the previous literature.

Wellposedness of solutions of a fractional porous medium flow with diffusion in Besov spaces

2016 ◽  
Vol 47 (4) ◽  
pp. 487-496
Author(s):  
XIAO WeiLiang ◽  
ZHAO JunYan ◽  
ZHOU XuHuan
Keyword(s):  
Porous Medium ◽  
Besov Spaces ◽  
Medium Flow ◽  
Porous Medium Flow

How an Initially Stationary Interface Begins to Move in Porous Medium Flow

1983 ◽  
Vol 14 (4) ◽  
pp. 639-658 ◽  
Author(s):  
D. G. Aronson ◽  
L. A. Caffarelli ◽  
S. Kamin
Keyword(s):  
Porous Medium ◽  
Medium Flow ◽  
Stationary Interface ◽  
Porous Medium Flow

Porous-medium flow theorems for straight lines

1993 ◽  
Vol 27 (5) ◽  
pp. 670-673
Author(s):  
A. V. Kopaev ◽  
V. M. Radygin
Keyword(s):  
Porous Medium ◽  
Medium Flow ◽  
Straight Lines ◽  
Porous Medium Flow

scholarly journals On the signed porous medium flow

2012 ◽  
Vol 7 (3) ◽  
pp. 525-541
Author(s):  
Edoardo Mainini
Keyword(s):  
Porous Medium ◽  
Medium Flow ◽  
Porous Medium Flow
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