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

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Figure 4

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_

Da	xce	Rcef
0.01	0.5684	1897.1
0.02	0.5682	1001.9
0.03	0.5679	7017
0.04	0.5676	5532
0.05	0.5673	4636
0.06	0.5671	405.2
0.07	0.5668	365.0
0.08	0.5665	330.6
0.09	0.5663	305.7
0.10	0.5660	285.8
0.11	0.5667	269.5

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_

F1	xce	R cef
01	0.9636	307.90
2	0.6154	661.40
3	0.5682	1001.9
4	0.5483	1340.8
5	0.5374	1679.0
6	0.5305	2017.0
7	0.5258	23537
8	0.5223	2696.0
9	0.5197	3030.3
10	0.5176	3367.9
	0.5159	3705.6

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

S	Rcef(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)${{R}_{cef}}\left( \begin{align}& {{F}_{1}}=3 \\ & {{x}_{ce}}=0.5483 \\ \end{align} \right)$
100	661.4	1001.9	1340.8
200	761.4	1101.9	1440.8
300	861.4	1201.9	1540.8
400	961.4	1301.9	1640.8
500	1061.4	1401.9	1740.8
600	1161.4	1501.9	1840.8
700	271.4	1601.9	1940.8
800	1361.4	1701.9	2040.8
900	1461.4	1801.9	2140.8