Time Dependent Basic States

  • Brian Straughan
Part of the Applied Mathematical Sciences book series (AMS, volume 91)


A physically important class of problem involves convection in a layer when the basic temperature is not simply a linear function of z, but where it depends also directly on time. For example, any attempt to grow semiconductor crystals in space will be faced with the problem of a gravity field approximately 10−5 times as strong as that on Earth, and hence slight movement of the spacecraft will lead to a basic state that changes with time. Also, any geophysical convection problem driven by solar radiation comes into the category under consideration here since the Sun’s heating effect follows either a diurnal cycle or a yearly one, depending on the timescale involved.


Rayleigh Number Energy Theory Convection Problem Linearize Instability Analysis Direct Heat Flux 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Brian Straughan
    • 1
  1. 1.Department of MathematicsUniversity of GlasgowGlasgowUK

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