Derive the stability criterion for an inside-corner boundary control volume for two- dimensional steady conduction when a convection boundary condition exists.
GIVEN
Two-dimensional steady conduction at an inside corner with a convection boundary condition
FIND
(a) The stability criterion
to account for the convection boundary condition.
The coefficient on Ti, j, m is now
This coefficient must be greater than zero for stability, therefore
Note that as we have seen before, the criterion for a convective boundary condition is more restrictive
than other boundary condition stability criteria.
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