Thermal instability of compressible Walters' (Model B′) fluid in the presence of hall currents and suspended particles

Thermal Science

Volumn 15, Issue 2, 2011, Pages 487-500

  Gupta, Urvashi ^a   Aggarwal, Parul ^b  

^a PANJAB UNIVERSITY   (India)

^b CHANDIGARH COLLEGE OF ENGINEERING AND TECHNOLOGY   (India)

Author keywords

Compressibility; Hall currents; Suspended particles; Thermal instability; Walters' (model B ) fluid

Indexed keywords

DISPERSIONS; ELASTICITY; MAGNETOHYDRODYNAMICS; NEWTONIAN LIQUIDS; PLASMA STABILITY; QUANTUM THEORY; THERMODYNAMIC STABILITY;

DISPERSION RELATIONS; ELASTICO-VISCOUS; HALL CURRENT; MAGNETIC-FIELD; PERTURBATION EQUATION; SUSPENDED PARTICLES; THERMAL INSTABILITIES; VISCO ELASTICITY; VISCOUS FLUIDS; WALTER' (MODEL B′) FLUID;

COMPRESSIBILITY;

EID: 80054045628     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI1102487G     Document Type: Article

References (27)

1. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Dover Publication, New York, USA, 1981
2. Chandra, K., Instability of Fluids Heated from Below, Proc. Roy. Soc., London., A164 (1938), 917, pp. 231- 242
3. Scanlon, J. W., Segel, L. A., Some Effects of Suspended Particles on the Onset of Bénard Convection, Phys. Fluids, 16 (1973), 10, pp. 1573-1578
4. Palaniswamy, V. A., Purushotham, C. M., Stability of Shear Flow of Stratified Fluids with Fine Dust, Phys.Fluids, 24 (1981), 7, pp. 1224-1229
5. Sharma, R. C., Prakash, K., Dube, S. N., Effect of Suspended Particles on the Onset of Bénard Convection in Hydromagnetics, Acta Physica Hungarica, 40 (1976), 1, pp. 3-10
6. Sharma, R. C., Gupta, U., Thermal Instability of Compressible Fluids with Hall Currents and Suspended Particles in Porous Medium, Int. J. Eng. Sci., 31 (1993), 7, pp. 1053-1060
7. Sherman, A., Sutton, G. W., Magnetohydrodynamics, Northwestern University Press, Evanston, Ill., USA, 1962
8. Gupta, A. S., Hall Effects on Thermal Instability, Rev. Roum. Math. Pures Appl., 12 (1967), pp. 665-677
9. Sharma, K. C., Gupta, U., Hall Effects on Thermosolutal Instability of a Rotating Plasma, Il Nuovo Cimento, 12D (1990), 12, pp. 1603-1610
10. Spiegal, E. A., Veronis, G., On the Boussinesq Approximation for a Compressible Fluid, Astrophys. J., 131 (1960), pp. 442-447
11. Sharma, R. C., Thermal Instability in Compressible Fluids in the Presence of Rotation and Magnetic Field, J. Math. Anal. Appl., 60 (1977), 1, pp. 227-235
12. Sharma, K. C., Gupta, U., Finite Larmor Radius Effect on Thermal Instability of a Compressible Rotating Plasma, Astrophysics and Space Science, 167 (1990), 2, pp. 235-243
13. Sharma, R. C., Sunil, S., Thermal Instability of Compressible Finite-Larmor-Radius Hall Plasma in Porous Medium, Journal of Plasma Physics, 55 (1996), 1, pp. 35-45
14. Bhatia, P. K., Steiner, J. M., Convective Instability in a Rotating Visco-Elastic Fluid Layer, Z. Angew. Math. Mech., 52 (1972), 6, pp. 321-327
15. Sharma, R. C., Effect of Rotation on Thermal Instability of a Visco-elastic Fluid, Acta Physica Hungrica, 40 (1976), 1, pp. 11-17
16. Toms, B. A., Strawbridge, D. J., Elastic and Viscous Properties of Dilute Solutions of Polymethyl Methacrylate in Organic Liquids, Trans. Faraday Soc., 49 (1953), pp. 1225-1232
17. Oldroyd, J. G., Non-Newtonian Effects in Steady Motion of Some Idealized Elastico-Viscous Liquids, Proc. Roy. Soc. (London), A245 (1958), 1241, pp. 278-297
18. Rivlin, R. S., Ericksen, J. L., Stress Deformation Relations for Isotropic Materials, J. Rat. Mech. Anal., 4 (1955), pp. 323-329
19. Walters, K., The Motion of an Elastico-Viscous Liquid Contained between Coaxial Cylinders, Quart. J. Mech. Appl. Math., 13 (1960), 4, pp. 444-461
20. Walters, K., Non-Newtonian Effects in Some Elastico-Viscous Liquids Whose Behaviour at Some Rates of Shear is Characterized by a General Linear Equation of State, Quart. J. Mech. Appl. Math., 15 (1962), 1, pp. 63-76
21. Sharma, R. C., Kumar, P., Study of the Stability of Two Superposed Walters' (Model B) Visco-Elastic Liquids, Czechoslovak Journal of Physics, 47 (1997), 2, pp. 197-204
22. Sunil, S., Sharma, R. C., Chand, S., Thermosolutal Convection in Walters' (Model B′) Fluid in Porous Medium in Hydromagnetics, Studia Geotechnica et Mechanica, 22 (2000), 3-4, pp. 3-14
23. Sharma, V., Sunil, S., Gupta, U., Stability of Stratified Elastico-Viscous Walters' (Model B′) Fluid in the Presence of Horizontal Magnetic Field and Rotation in Porous Medium, Arch. Mech., 58 (2006), 2 pp. 187-197
24. Sharma, R. C., Aggarwal, A. K., Effect of Compressibility and Suspended Particles on Thermal Convection in a Walters' Elastico-Viscous Fluid in Hydromagnetics, Int. J. of Applied Mechanics and Engineering, 11 (2006), 2, pp. 391-399
25. Sharma, R. C., Sunil, S., Chand, S., Hall Effect on Thermal Instability of Rivlin-Ericksen Fluid, Indian J. of Pure Appl. Math., 31 (2000), 1, pp. 49-59
26. Kumar, P., Singh, G. J., Lal, R., Thermal Instability of Walters B′ Visco-Elastic Fluid Permeated with Suspended Particles in Hydromagnetics in Porous Medium, Thermal Science, 8 (2004), 1, pp. 51-61
27. Sunil, S., Sharma, R. C., Chand, S., Hall Effect on Thermal Instability of Walters' (Model B′) Fluid, Indian Journal of Theoretical Physics, 48 (2000), 1, pp. 81-92