2020
DOI: 10.1002/htj.21695
|View full text |Cite
|
Sign up to set email alerts
|

Effect of anisotropic permeability on double‐diffusive bidisperse porous medium

Abstract: The model of thermosolutal convection in a fluidsaturated bidisperse porous medium of Darcy type is studied in this paper. The permeability is allowed to be horizontally isotropic for both the macro-and microphases. The linear instability and nonlinear stability are analyzed by taking the Soret effect into account. Furthermore, the effect of anisotropy parameter, Soret coefficient, and other physical parameters on the stability of the system are investigated.It is shown that the linear instability boundaries a… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
6
0

Year Published

2021
2021
2025
2025

Publication Types

Select...
6
1

Relationship

1
6

Authors

Journals

citations
Cited by 10 publications
(6 citation statements)
references
References 59 publications
0
6
0
Order By: Relevance
“…Both cases are studied by using golden section search to minimise over 2 a and find the critical values of 2 R for linear instability. Moreover, the critical Rayleigh numbers of nonlinear energy stability E Ra for fixed 2 a and  is determined using equation (18). Then, we employ golden section search to minimise in 2 a and then maximise in  to determine E Ra , where for 2…”
Section: Numerical Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…Both cases are studied by using golden section search to minimise over 2 a and find the critical values of 2 R for linear instability. Moreover, the critical Rayleigh numbers of nonlinear energy stability E Ra for fixed 2 a and  is determined using equation (18). Then, we employ golden section search to minimise in 2 a and then maximise in  to determine E Ra , where for 2…”
Section: Numerical Resultsmentioning
confidence: 99%
“…This has also been considered further using a variety of geometries and incorporating various other effects, for example, anisotropic parameter and double diffusion cf. Straughan [14][15][16][17], and Saleh and Haddad [18]. The papers by Franchi et al [19] present the effect of local thermal non-equilibrium on a bidispersive porous medium.…”
Section: Mankhi and Haddadmentioning
confidence: 99%
See 1 more Smart Citation
“…See for example Straughan [16], who investigated the onset of convection for thermal convection in a bidispersive porous medium, when the horizontal permeability are the same in the macopores and the micopores The same author in Straughan [16] performed the linear and nonlinear stability methods when the permeability ratios in the macropores and the micropores are taken to be different. Saleh and Haddad [17] presented an analysis of linear and nonlinear stability to study the anisotropy parameter with soret coefficient effects on the onset of thermal convection in double porosity media. Saleh [18] also considered the Brinkman model to investigate thermosolutal convection in a bidispersive porous medium with anisotropic permeability effect.…”
Section: Introductionmentioning
confidence: 99%
“…Saleh and Haddad [17] presented an analysis of linear and nonlinear stability to study the anisotropy parameter with soret coefficient effects on the onset of thermal convection in double porosity media. Saleh [18] also considered the Brinkman model to investigate thermosolutal convection in a bidispersive porous medium with anisotropic permeability effect. Recently, Capone et al [19] performed linear and nonlinear stability analysis for the problem of thermal convection in an inisotropic and rotating bidisperse porous medium.…”
Section: Introductionmentioning
confidence: 99%