Applied Mathematics and Mechanics

, Volume 8, Issue 10, pp 947–956 | Cite as

The Bénard convenction in a layer of fluid with a time-dependent mean temperature



The onset of Bénard convection, or the critical Rayleigh number in a layer of fluid with a time-dependent mean temperature has been investigated theoretically. The critical Rayleigh number is regarded as a function of time and is expanded in series of a small parameter. Up to second approximation a simple expression of critical Rayleigh number is obtained for the time region for away from the point of zero.


Convection Rayleigh Number Convection Flow Fluid Layer Critical Rayleigh Number 
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Copyright information

© Shanghai University of Technology (SUT) 1987

Authors and Affiliations

  • Wu Feng
    • 1
  1. 1.Department of Modern MechanicsUniversity of Science and Technology of ChinaHefei

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