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Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium Cover

Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium

Studia Geotechnica et Mechanica
Volume 41 (2019): Issue 1 (April 2019)
By: Shalu Choudhary and  Sunil  
Open Access
|Apr 2019

Figures & Tables

Figure 1

Geometrical configuration of the problem.
Geometrical configuration of the problem.

Figure 2

The variation in the critical thermal Rayleigh number Rcef with the couple-stress parameter F1.
The variation in the critical thermal Rayleigh number Rcef with the couple-stress parameter F1.

Figure 3

The variation in the critical thermal Rayleigh number Rcef with the couple -stress parameter Da
The variation in the critical thermal Rayleigh number Rcef with the couple -stress parameter Da

Figure 4

The variation in the critical thermal Rayleigh number Rcef with the solute gradient Sf
The variation in the critical thermal Rayleigh number Rcef with the solute gradient Sf

The variation in the fluid-based critical thermal Rayleigh number R cef with the couple-stress parameter (Da ) for F1=2, Vr=1 and Sf = 100_

DaxceRcef
0.010.56841897.1
0.020.56821001.9
0.030.56797017
0.040.56765532
0.050.56734636
0.060.5671405.2
0.070.5668365.0
0.080.5665330.6
0.090.5663305.7
0.100.5660285.8
0.110.5667269.5

The variation in the fluid-based critical thermal Rayleigh number Rcef with the couple-stress parameter F1 for Da=0_02, Vr =1 and Sf = 100_

F1xceR cef
010.9636307.90
20.6154661.40
30.56821001.9
40.54831340.8
50.53741679.0
60.53052017.0
70.525823537
80.52232696.0
90.51973030.3
100.51763367.9
0.51593705.6

The variation in the fluid-based critical thermal Rayleigh number R cef with the solute gradient (Sf) for Da, Vr =1_

SRcef(F1=1xce=0.6164)${{R}_{cef}}\left( \begin{align}& {{F}_{1}}=1 \\ & {{x}_{ce}}=0.6164 \\ \end{align} \right)$Rcef(F1=2xce=0.5682)${{R}_{cef}}\left( \begin{align}& {{F}_{1}}=2 \\ & {{x}_{ce}}=0.5682 \\ \end{align} \right)$Rcef(F1=3xce=0.5483)${{R}_{cef}}\left( \begin{align}& {{F}_{1}}=3 \\ & {{x}_{ce}}=0.5483 \\ \end{align} \right)$
100661.41001.91340.8
200761.41101.91440.8
300861.41201.91540.8
400961.41301.91640.8
5001061.41401.91740.8
6001161.41501.91840.8
700271.41601.91940.8
8001361.41701.92040.8
9001461.41801.92140.8
DOI: https://doi.org/10.2478/sgem-2018-0044 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
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Language: English
Page range: 13 - 20
Submitted on: Jul 6, 2018
|
Accepted on: Dec 3, 2018
|
Published on: Apr 8, 2019
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
couple-stress parameter,
solute gradient,
Brinkman number
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

© 2019 Shalu Choudhary, Sunil, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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