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Thermal oscillations of a particle-fluid mixture with horizontal temperature gradient

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Abstract

The problem of thermal convection instability of a horizontal fluid layer with suspended particles has been studied for low-Prandtl number in the presence of vertical and horizontal temperature gradients. It has been found that the critical Rayleigh number (for both free and rigid conducting boundaries) increases due to the presence of particles. We also find the oscillatory modes for a vanishingly small Prandtl number. The critical Rayleigh number is inversely proportional to the wavelength. Due to the effect of suspended particles the frequency increases while the wavelength decreases. We have to find out the approximate stability characteristics.

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References

  1. Bénard H (1900) Les Tourbillons cellulaires dans une nappe liquide. Revue générale des Sciences Pures et appliquées, 11, 1261–71 and 1309–26

  2. Chandrasekhar S (1961) Hydrodynamics and hydromagnetic stability. Oxford University Press, Ch. 2–4

  3. Hart JE (1972) J Atmos Sci 29:687

    Google Scholar 

  4. Skafel MC (1972) PhD Thesis, University of Cambridge

  5. Hurle DTJ (1967) Proc Int Conf Crystal Growth, p 659, Pergamon Press

  6. Gill AE (1972) J Fluid Mech, 13:120

    Google Scholar 

  7. Saffman PG (1972) J Fluid Mech, 13:120

    Google Scholar 

  8. Michael DHJ (1968) J Fluid Mech 31:315

    Google Scholar 

  9. Liu JTC (1966) Phy Fluid, p 1716

  10. Michael DH and Norey PW (1968) Quart J Mech and App Maths 21:375

    Google Scholar 

  11. Verma PD and Mathur AK (1973) Ind J Pure and Appl Maths 14(2):133

    Google Scholar 

  12. Charya GR (1976) ZAMP (29):217

  13. Soo SL (1967) Blaisdel Publishing Company (USA)

  14. Faller AJ (1969) Bull Am Phys Soc 14:1093

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Roorkee, 247 667, Roorkee, India

    Rama Singhal & Krishna M. Srivastava

Authors
  1. Rama Singhal
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  2. Krishna M. Srivastava
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Singhal, R., Srivastava, K.M. Thermal oscillations of a particle-fluid mixture with horizontal temperature gradient. Applied Scientific Research 41, 155–166 (1984). https://doi.org/10.1007/BF00419365

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  • DOI: https://doi.org/10.1007/BF00419365

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