Exact analysis of Effect of Non-uniform Temperature Gradient on Marangoni Convection with Free Slip Condition
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Date
2012-01-25T07:20:46Z
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Abstract
The effect of non-uniform basic temperature gradient on
the onset of Marangoni convection in a horizontal layer
with a free-slip bottom heated from below and cooled
from above is considered. A linear stability analysis is
performed to undertake a detail investigation. The
eigenvalues are obtained for lower rigid isothermal and
upper free adiabatic boundaries. The resulting eigenvalue
problem is solved exactly and single-term Galerkin
expansion procedure. The influence of various
parameters on the onset of convection has been analyzed.
Three non-uniform basic temperature profiles are
considered and the results obtained from both the
methods are compared and are found to be in good
agreement. Some general conclusions about their
destabilizing effects are presented.
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Exact analysis of Effect of Non-uniform Temperature Gradient on Marangoni Convection with Free Slip Condition, Suma, S.P., Gangadharaiah, Y.H., Mapana Journal of Sciencei,