Nonlinear stability for a thermofluid in a vertical porous slab

Continuum Mechanics and Thermodynamics

Volumn 11, Issue 3, 1999, Pages 173-179

  Flavin, J N ^a   Rionero, S ^b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039521655     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610050109     Document Type: Article

References (14)

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3. Flavin J N, Rionero S (1997) On the temperature distribution in cold ice. Rend. Mat. Acc. Lincei, 9,8: 299-312
4. Flavin JN, Rionero S (1998) Asymptotic and other properties for a nonlinear diffusion model. Jour. Math. Anal. Appl., 228: 119-140
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6. Joseph DD (1976) Stability of Fluid Motions, Vol. 2. Berlin, Heidelberg, New York: Springer
7. Straughan B (1993) The Energy Method, Stability and Natural Convection, Berlin, Heidelberg, New York: Springer
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10. Richardson L, Straughan B (1993) Convection with temperature dependent viscosity in a porous medium: nonlinear stability and the Brinkman effect. Rend. Mat. Acc. Lincei 9,4: 223-230
11. Capone F, Gentile M (1994) Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity. Acta Mechanics. 107: 53-64
12. Capone F, Gentile M (1995) Nonlinear stability analysis of the Bénard problem for fluid with a convex non increasing temperature dependent viscosity. Continuum Mech. and Thermodyn. 7: 297-309
13. Mulone G, Rionero S, Straughan B (1994) Convection with temperature dependent viscosity and thermal conductivity: linear energy stability theory. Rend. Acc. Sc. Fis. Mat. Napoli, 61: 13-28
14. Gill AE (1969) A proof that convection in a porous vertical slab is stable. J. Fluid Mech. 35: 545-547