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Thermal Instability of Compressible Micropolar Fluid in the Presence of Suspended Particles

  • N. Rani (a1) and S. K. Tomar (a2)

A problem of thermal instability of a compressible micropolar fluid layer heated from below in the presence of suspended particles has been investigated. Dispersion relation is derived and Rayleigh number curve is then plotted against the wavenumber at different values of compressibility parameter for a model example. Compressibility is found to be responsible to destabilize the system in the presence and absence of suspended particles for both stationary and over stationary convection.

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1. Eringen A. C., “Theory of Micropolar Fluids,” Journal of Mathematics and Mechanics, 16, pp. 118 (1966).
2. Eringen A. C., “Theory of Thermo-Microfluids,” Journal of Mathematical Analysis and Applications, 38, pp. 480496 (1972).
3. Eringen A. C., Microcontinuum Field Theories II: Fluent Media, Springer-Verlag, New York (1999).
4. Spiegel E. and Veronis G., “On the Boussinesq Approximation for a Compressible Fluid,” The Astrophysical Journal, 131, pp. 442447 (1960).
5. Sharma R. C. and Rani N., “Thermosolutal Instability of a Compressible Hall Plasma,” Indian Journal of Physics, 62, pp. 211215 (1988).
6. Sharma R. C. and Rani N., “Finite Larmor Radius and Compressibility Effects on Thermosolutal Instability of a Plasma,” Zeitschrift Naturforschung Teil A, 41, pp. 724728 (1986).
7. Sharma R. C. and Aggarwal A. K., “Effect of Compressibility and Suspended Particles on Thermal Convection in a Walters' B' Elastico-Vicsous Fluid in Hydromagnetics,” International Journal of Applied Mechanics and Engineering, 11, pp. 391399 (2006).
8. Bormann A. S., “The Onset of Convection in the Rayleigh-Benard Problem for Compressible Fluids,” Continuum Mechanics and Thermodynamics, 13, pp. 923 (2001).
9. Eremeyev V. A. and Sukhov D. A., “Convective Instabilities in Thermoviscoelastic Micropolar Fluids,” Matemáticas: Enseñanza Universitaria, 8, Junio, Matemáticas, pp. 3142 (2005).
10. Sunil Sharma Y. D. and Bharti P. K., “Thermosolutal Instability of a Compressible Rivlin-Ericksen Fluid with Hall Currents,” International Journal of Applied Mechanics and Engineering, 10, pp. 329343 (2005).
12. Dragomirescu I. F., “Rayleigh Number in a Stability Problem for a Micropolar Fluid,” Turkish Journal of Mathematics, 31, pp. 123137 (2007).
13. Scanlon J. W. and Segel L. A., “Some Effects of Suspended Particles on the Onset of B'enard Convection,” Physics of Fluids, 16, pp. 15731578 (1973).
14. Datta A. B. and Sastry V. U. K., “Thermal Instability of a Horizontal Layer of Micropolar Fluid Heated From Below,” International Journal of Engineering Science, 14, pp. 631637 (1976).
15. Sharma R. C. and Kumar P., “On Micropolar Fluids Heated from Below in Hydromagnetics in Porous Medium,” Czechoslovak Journal of Physics, 47, pp. 637646 (1997).
16. Chandrasekhar S., Hydrodynamics and Hydromagnetic Stability, Dover Publication, New York (1981).
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Journal of Mechanics
  • ISSN: 1727-7191
  • EISSN: 1811-8216
  • URL: /core/journals/journal-of-mechanics
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