Stability of superposed viscous-viscoelastic (Rivlin-Ericksen) fluids in the presence of suspended particles through a porous medium

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 51, Issue 6, 2000, Pages 912-921

  Kumar, Pardeep ^a  

^a HIMACHAL PRADESH UNIVERSITY   (India)

Author keywords

Porous medium; Rayleigh Taylor instability; Rivlin Ericksen viscoelastic fluids; Suspended particles

Indexed keywords

EID: 0034344937     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001529     Document Type: Article

References (12)

1. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability. Dover Publications, New York 1981.
2. Bhatia, P. K., Rayleigh-Taylor instability of two viscoelastic superposed conducting fluids. Nuovo Cimento 19B (1974), 161-168.
3. Rivlin, R. S. and Ericksen, J. L., Stress-deformation relaxations for isotropic materials, J. Rat. Mech. Anal. 4 (1955), 323-425.
4. Sharma, R. C. and Kumar, P., Hydromagnetic stability of two Rivlin-Ericksen elastoviscous superposed conducting fluids. Z. Naturforsch. 52a (1997), 528-532.
5. Saffman, P. G., On the stability of laminar flow of a dusty gas, J. Fluid Mech. 13 (1962), 120-128.
6. Scanlon, J. W. and Segel, L. A., Some effects of suspended particles on the onset of Bénard convection, Phys. Fluids 16 (1973), 1573-1578.
7. Palaniswamy, V. I. and Purushotham, C. M., Stability of shear flow of stratified fluids with fine dust, Phys. Fluids 24 (1981), 1224-1229.
8. Lapwood, E. R. Convection of a fluid in a porous medium, Proc. Camb. Phil. Soc. 44 (1948), 508-554.
9. Wooding, R. A., Rayleigh instability of a thermal boundary layer in flow through a porous medium, J. Fluid Mech. 9 (1960), 183-192.
10. Sharma, R. C. and Sharma, K. N., Thermal instability of fluids through a porous medium in the presence of suspended particles, rotation and solute gradient, J. Math. Phys. Sci. 16 (1982), 167-181.
11. Sharma, R. C. and Kumar, P. Rayleigh-Taylor instability of fluids in porous media in the presence of suspended particles and variable magnetic field, J. Math. Phys. Sci. 29 (1995), 81-90.
12. Kumar, P., Instability of two Maxwellian viscoelastic superposed fluids with suspended particles and variable magnetic field in porous medium, J. Polym.-Plast. Tech. Engng. 35 (1996), 591-603.