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Free convection effects on the flow past an infinite vertical oscillating plate

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Abstract

The motion of a semi-infinite incompressible viscous fluid, caused by the oscillation of a plane vertical plate, has been studied, taking into account the presence of free convection currents. Closed form solutions to the velocity, temperature and the penetration distance through which the leading edge effect propagates have been derived on neglecting the transient part. Velocity profiles are shown forGr>0 (Grashof number) (cooling of the plate by the free convection currents),Gr<0 (heating of the plate) on graph. Also the penetration distance has been shown on graphs for different values ofP, the Prandtl number. It has been observed that for ωt=3π/2, greater cooling of the plate may cause the flow to become unstable. Also, the penetration distance is not found to be affected by the frequency of the oscillating vertical plate.

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References

  • Chung, P. M. and Anderson, A. D.: 1961,Trans. ASME, J. Heat Transfer 83C, 473.

    Google Scholar 

  • Goldstein, R. J. and Briggs, D. G.: 1964,Trans. ASME, J. Heat Transfer 86C, 490–500.

    Google Scholar 

  • Goldstein, R. J. and Eckert, E. R. G.: 1960,International J. Heat Mass Transfer 1, 208.

    Google Scholar 

  • Hellums, J. D. and Churchill, S. W.: 1961,International Developments in Heat Transfer, Part V (ASME), Sec. B, 985.

    Google Scholar 

  • Hellums, J. D. and Churchill, S. W.: 1962,AIChE J. 8, 690.

    Google Scholar 

  • Illingworth, C. R.: 1950,Proc. Camb. Phil. Soc. 46(4), 603.

    Google Scholar 

  • Menold, E. R. and Yang, K.: 1962,Trans. ASME, J. Applied Mech. 84E, 124.

    Google Scholar 

  • Mizukami, K. and Sakurai, A.: 1973, ‘Experiments of transient natural convection heat transfer’, 10th Japan Heat Transfer Symposium, B211 (in Japanese).

  • Nambu, K.: 1971,International J. Heat Mass Transfer 14, 1531.

    Google Scholar 

  • Schetz, J. A. and Eichhorn, R.: 1962,Trans. ASME, J. Heat Transfer 84C, 334.

    Google Scholar 

  • Siegel, R.: 1958,Trans. ASME 80, 347.

    Google Scholar 

  • Soundalgekar, V. M.: 1977,Trans. ASME, J. Heat Transfer 99C, 499.

    Google Scholar 

  • Sparrow, E. M. and Gregg, J. L.: 1960,Trans. ASME, J. Heat Transfer 82C, 258.

    Google Scholar 

  • Stokes, G. C.: 1851,Camb. Phil. Trans. 9, 8.

    Google Scholar 

  • Sugawara, S. and Michiyoshi, I.: 1951. ‘The heat transfer by natural convection in the unsteady state on a vertical flat wall’, Proc. 1st Japan Congress of Applied Mechanics, 501.

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  1. Department of Mathematics, Indian Institute of Technology, Powai, Bombay, India

    V. M. Soundalgekar

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  1. V. M. Soundalgekar
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Soundalgekar, V.M. Free convection effects on the flow past an infinite vertical oscillating plate. Astrophys Space Sci 64, 165–171 (1979). https://doi.org/10.1007/BF00640038

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  • DOI: https://doi.org/10.1007/BF00640038

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