The onset of convection in a binary viscoelastic fluid saturated porous layer

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 89, Issue 5, 2009, Pages 356-369

  Malashetty, M S ^a   Swamy, Mahantesh ^b   Heera, Rajashekhar ^a  

^a GULBARGA UNIVERSITY   (India)

^b Department of Mathematics   (India)

Author keywords

Convection; Heat mass transfers; Porous layer; Viscoelastic fluid

Indexed keywords

EID: 65649138066     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.200800199     Document Type: Article

References (21)

1. V. Bertola and E. Cafaro, Thermal instability of viscoelastic fluids in horizontal porous layers as initial problem, Int. J. Heat Mass Transf. 49, 4003-4012 (2006).
2. D. Braun, N. L. Goddard, and L. Albert, Exponential DNA replication by laminar convection, Phys. Rev. Lett. 91(15), 158103-1-4 (2003).
3. C.W. Horton and F. T. Rogers, Convection currents in a porous medium, J. Appl. Phys. 6, 367-370 (1945).
4. M. C. Kim, S. B. Lee, S. Kim, and B. J. Chung, Thermal instability of viscoelastic fluids in porous media, Int. J. Heat Mass Transf. 46, 5065-5072 (2003).
5. P. Kolodner, Oscillatory convection in viscoelastic DNA suspensions, J. Non-Newton. Fluid Mech. 75, 167-192 (1998).
6. M. Krishnan, V. M. Ugaz, and M. A. Burns, PCR in Rayleigh-Benard Cell, Science 298, 793 (2002).
7. E.R. Lapwood, Convection of a fluid in a porous medium, Proc. Camb. Philos. Soc. 44, 508-521 (1948).
8. D. Laroze, J. Martínez-Mardones, and J. Bragard, Thermal convection in a rotating binary viscoelastic liquid mixture, Eur. Phys. J. Special Topics 146, 291-300 (2007).
9. D. Laroze, J. Martínez-Mardones, J. Bragard, and C. Pérez-García, Realistic rotating convection in a DNA suspension, Physica A 385, 433-438 (2007).
10. R. G. Larson, Instabilities in viscoelastic flows, Rheol. Acta 31, 213-221 (1992).
11. Z. Li and R. E. Khayat, Finite-amplitude Rayleigh-Benard convection and pattern selection for viscoelastic fluids, J. Fluid Mech. 529, 221-251 (2005).
12. J. Martínez-Mardones, R. Tiemann, and D. Walgraef, Rayleigh-Benard convection in a binary viscoelastic fluid, Physica A 283, 233-236 (2000).
13. J. Martínez-Mardones, R. Tiemann, and D. Walgraef, Amplitude equation for stationary convection in a binary viscoelastic fluid, Physica A 327, 29-33 (2003).
14. D. A. Nield and A. Bejan, Convection in Porous Media (Springer-Verlag, New York, 2006).
15. T. T. Perkins, S.R. Quake, D, E. Smith, and S. Chu, Relaxation of a single DNA molecule observed by optical microscopy, Issue 5160, Science 264, 822-826 (1994).
16. T. T. Perkins, D. E. Smith, and S. Chu, Single Polymer dynamics in an elongational flow, Issue 5321, Science 276, 2016-2021 (1997).
17. J. K. Platten and J.C. Legros, Convection in Liquids (Springer, Berlin, 1984).
18. S. Rosenblat, Thermal convection of a viscoelastic fluid, J. Non-Newtonian Fluid Mech. 21, 201-223 (1986).
19. L. J. Sheu, L. M. Tam, J. H. Chen, H. K. Chen, K. T. Lin, and Y. Kang, Chaotic convection of viscoelastic fluids in porous media, Chaos Solitons Fractals doi:10.1016/j.chaos.2007.07.050 (2006).
20. L. J. Sheu, J. H. Chen, H. K. Chen, L. M. Tam, and Y.C. Chao, A unified system describing dynamics of chaotic convection, Chaos Solitons Fractals doi:10.1016/j.chaos.2007.11.017 (2007).
21. S. Wang and W. Tan, Stability analysis of double-diffusive convection of Maxwell fluid in a porous medium heated from below, Phys. Lett. A, doi:10.1016/j.physleta.2008.01.024 (2008).