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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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2. A. C. Eringen , “Theory of Thermo-Microfluids,” Journal of Mathematical Analysis and Applications, 38, pp. 480496 (1972).

3. A. C. Eringen , Microcontinuum Field Theories II: Fluent Media, Springer-Verlag, New York (1999).

4. E. Spiegel and G. Veronis , “On the Boussinesq Approximation for a Compressible Fluid,” The Astrophysical Journal, 131, pp. 442447 (1960).

8. A. S. Bormann , “The Onset of Convection in the Rayleigh-Benard Problem for Compressible Fluids,” Continuum Mechanics and Thermodynamics, 13, pp. 923 (2001).

13. J. W. Scanlon and L. A. Segel , “Some Effects of Suspended Particles on the Onset of B'enard Convection,” Physics of Fluids, 16, pp. 15731578 (1973).

14. A. B. Datta and V. U. K. Sastry , “Thermal Instability of a Horizontal Layer of Micropolar Fluid Heated From Below,” International Journal of Engineering Science, 14, pp. 631637 (1976).

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Journal of Mechanics
  • ISSN: 1727-7191
  • EISSN: 1811-8216
  • URL: /core/journals/journal-of-mechanics
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