Effects of throughflow and quadratic drag on the stability of a doubly diffusive Oldroyd-B fluid-saturated porous layer

Journal of Geophysics and Engineering

Volumn 5, Issue 3, 2008, Pages 268-280

  Shivakumara, I S ^a   Sureshkumar, S ^b  

^a BANGALORE UNIVERSITY   (India)

^b SIDDAGANGA INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Darcy Forchheimer equation; Double diffusive convection; Oldroyd B fluid; Oscillatory convection; Porous layer; Quadratic drag; Throughflow

Indexed keywords

CONCENTRATION (COMPOSITION); DIFFUSIVITY; EQUATION; POROUS MEDIUM; SATURATED MEDIUM; SATURATION; THROUGHFLOW; VISCOELASTIC FLUID;

EID: 54749085035     PISSN: 17422132     EISSN: 17422140     Source Type: Journal    
DOI: 10.1088/1742-2132/5/3/003     Document Type: Article

References (24)

1. Alexandrov D V, Aseer D L, Nizovtseva I G, Huang H N and Lee D 2007 Nonlinear dynamics of directional solidification with a mushy layer. Analytic solutions of the problem Int. J. Heat Mass Transfer 50 3616-23
2. Alishaev M G and Mirzadjanzade A Kh 1975 For the calculation of delay phenomenon in filtration theory Izvestya Vuzov, Neft I Gaz. 6 71
3. Guba P and Worster M G 2006 Nonlinear oscillatory convection in mushy layers J. Fluid Mech. 553 419-43
4. Homsy G M and Sherwood A E 1976 Convective instabilities in porous media with throughflow AIChE J 22 168-74
5. Jones M C and Persichetti J M 1986 Convective instability in packed beds with throughflow AIChE J 32 1555-7
6. Khalili A and Shivakumara I S 1998 Onset of convection in a porous layer with net throughflow and internal heat generation Phys. Fluids 10 315-7
7. Khalili A and Shivakumara I S 2003 Non-Darcian effects on the onset of convection in a porous layer with throughflow Trans. Porous Media 53 245-63
8. Kim M C, Lee S B, Kim S and Chung B J 2003 Thermal instability of viscoelastic fluids in porous media Int. J. Heat Mass Transfer. 46 5065-72
9. Li Z and Khayat R E 2005 Finite-amplitude Rayleigh-Benard convection and pattern selection for viscoelastic fluids J. Fluid Mech. 529 221-51
10. Malashetty M S, Shivakumara I S, Kulkarni S and Swamy M 2006 Convective Instability of Oldroyd-B fluid saturated porous layer heated from below using a thermal non-equilibrium model Trans. Porous Media 64 123-39
11. Nield D A 1987 Convective instabilities in porous media with throughflow AIChE. J. 33 1222-4
12. Nield D A 1990 The instability of convective flows in porous media Convective Heat and Mass Transfer in Porous Media vol 196 ed S Kakac et al pp 79-122
13. Nield D A and Bejan A 2006 Convection in Porous Media 3rd edn (New York: Springer-Verlag)
14. Rudraiah N, Kaloni P N and Radhadevi P V 1989 Oscillatory convection in a viscoelastic fluid through a porous layer heated from below Rheol. Acta. 28 48-53
15. Rudraiah N and Kaloni P N 1990 Flow of non-Newtonian fluids Encyclopedia of Fluid Mechanics vol 9 (Houston: Gulf) pp 1-69
16. Shenoy A V 1994 Non-Newtonian fluid heat transfer in porous media Adv. Heat Transfer 24 101-90
17. Shivakumara I S 1997 Effects of throughflow on convection in porous media Proc. 7th Asian Congress of Fluid Mech. 2 557-60
18. Shivakumara I S and Khalili A 2001 On the stability of double diffusive convection in a porous layer with throughflow Acta Mech. 152 165-75
19. Shivakumara I S, Malashetty M S and Chavaraddi Krishna B 2006 Onset of convection in a viscoelastic fluid saturated sparsely packed porous layer using a thermal non-equilibrium model Can. J. Phys. 84 973-990
20. Shivakumara I S and Nanjundappa C E 2006 Effects of quadratic drag and throughflow on double diffusive convection in a porous layer Int. Comm. Heat Mass Transfer 33 357-63
21. Shivakumara I S and Sureshkumar S 2007 Convective instabilities in a viscoelastic-fluid-saturated porous medium with throughflow J. Geophys. Eng 4 104-15
22. Sutton F M 1970 Onset of convection in a porous channel with net throughflow Phys. Fluids 13 1931-4
23. Wooding R A 1960 Rayleigh instability of a thermal boundary layer in a flow through a porous medium at large Reynolds number or Peclet number J. Fluid Mech. 9 183-92
24. Yoon D Y, Kim M C and Choi M C 2004 The onset of oscillatory convection in a horizontal porous layer saturated with viscoelastic liquid Trans. Porous Media. 55 275-84