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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

Figures & Tables

Figure 1

Geometrical configuration of the problem.

Figure 2

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

Figure 4

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.

Volume 41 (2019): Issue 1 (April 2019)
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