Transitions and bifurcations in couple stress fluid saturated porous media using a thermal non-equilibrium model

2022 ◽  
Vol 415 ◽  
pp. 126727
Author(s):  
Zhigang Pan ◽  
Lan Jia ◽  
Yiqiu Mao ◽  
Quan Wang
Author(s):  
Sunil ◽  
Shalu Choudhary ◽  
Amit Mahajan

Abstract.A nonlinear stability threshold for convection in a rotating couple-stress fluid saturating a porous medium with temperature- and pressure-dependent viscosity using a thermal non-equilibrium model is found to be exactly the same as the linear instability boundary. This optimal result is important because it shows that linear theory has completely captured the physics of the onset of convection. The effects of couple-stress fluid parameter


2012 ◽  
Vol 5 (2) ◽  
pp. 144-149
Author(s):  
Montasser S. Tahat ◽  
Abdulmajeed S. Al-Ghamdi ◽  
Mohammad Q. Al-Odat

2009 ◽  
Vol 52 (23-24) ◽  
pp. 5412-5422 ◽  
Author(s):  
L. Virto ◽  
M. Carbonell ◽  
R. Castilla ◽  
P.J. Gamez-Montero

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Chongbin Zhao ◽  
B.E. Hobbs ◽  
Alison Ord

PurposeThe objective of this paper is to develop a semi-analytical finite element method for solving chemical dissolution-front instability problems in fluid-saturated porous media.Design/methodology/approachThe porosity, horizontal and vertical components of the pore-fluid velocity and solute concentration are selected as four fundamental unknown variables for describing chemical dissolution-front instability problems in fluid-saturated porous media. To avoid the use of numerical integration, analytical solutions for the property matrices of a rectangular element are precisely derived in a purely mathematical manner. This means that the proposed finite element method is a kind of semi-analytical method. The column pivot element solver is used to solve the resulting finite element equations of the chemical dissolution-front instability problem.FindingsThe direct use of horizontal and vertical components of the pore-fluid velocity as fundamental unknown variables can improve the accuracy of the related numerical solution. The column pivot element solver is useful for solving the finite element equations of a chemical dissolution-front instability problem. The proposed semi-analytical finite element method can produce highly accurate numerical solutions for simulating chemical dissolution-front instability problems in fluid-saturated porous media.Originality/valueAnalytical solutions for the property matrices of a rectangular element are precisely derived for solving chemical dissolution-front instability problems in fluid-saturated porous media. The proposed semi-analytical finite element method provides a useful way for understanding the underlying dynamic mechanisms of the washing land method involved in the contaminated land remediation.


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