Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T14:31:58.176Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  08 May 2012

N. Rani  and
S. K. Tomar
N. Rani
Affiliation:
Department of Mathematics, MCM DAV College, Chandigarh 160036, India
S. K. Tomar*
Affiliation:
Department of Mathematics, Panjab University, Chandigarh 160014, India
*
*Corresponding author (sktomar66@gmail.com)
Get access

Abstract

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.

Keywords

ConvectionMicropolarCompressibilitySuspended particlesRayleigh number
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 2 , June 2012 , pp. 239 - 246
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Eringen, A. C., “Theory of Micropolar Fluids,” Journal of Mathematics and Mechanics, 16, pp. 1–18 (1966).Google Scholar
2. Eringen, A. C., “Theory of Thermo-Microfluids,” Journal of Mathematical Analysis and Applications, 38, pp. 480–496 (1972).CrossRefGoogle Scholar
3. Eringen, A. C., Microcontinuum Field Theories II: Fluent Media, Springer-Verlag, New York (1999).CrossRefGoogle Scholar
4. Spiegel, E. and Veronis, G., “On the Boussinesq Approximation for a Compressible Fluid,” The Astrophysical Journal, 131, pp. 442–447 (1960).CrossRefGoogle Scholar
5. Sharma, R. C. and Rani, N., “Thermosolutal Instability of a Compressible Hall Plasma,” Indian Journal of Physics, 62, pp. 211–215 (1988).Google Scholar
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. 724–728 (1986).CrossRefGoogle Scholar
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. 391–399 (2006).Google Scholar
8. Bormann, A. S., “The Onset of Convection in the Rayleigh-Benard Problem for Compressible Fluids,” Continuum Mechanics and Thermodynamics, 13, pp. 9–23 (2001).CrossRefGoogle Scholar
9. Eremeyev, V. A. and Sukhov, D. A., “Convective Instabilities in Thermoviscoelastic Micropolar Fluids,” Matemáticas: Enseñanza Universitaria, 8, Junio, Matemáticas, pp. 31–42 (2005).Google Scholar
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. 329–343 (2005).Google Scholar
12. Dragomirescu, I. F., “Rayleigh Number in a Stability Problem for a Micropolar Fluid,” Turkish Journal of Mathematics, 31, pp. 123–137 (2007).Google Scholar
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. 1573–1578 (1973).CrossRefGoogle Scholar
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. 631–637 (1976).CrossRefGoogle Scholar
15. Sharma, R. C. and Kumar, P., “On Micropolar Fluids Heated from Below in Hydromagnetics in Porous Medium,” Czechoslovak Journal of Physics, 47, pp. 637–646 (1997).CrossRefGoogle Scholar
16. Chandrasekhar, S., Hydrodynamics and Hydromagnetic Stability, Dover Publication, New York (1981).Google Scholar