Abstract
The present paper applies a time-dependent three-dimensional linear stability theory to study the effect of inclination on the onset of vortex instability in the thermal entrance region of a parallel-plate channel. The normalized transient perturbation equations in the normal and streamwise directions are derived, and then solved together with the basic flow equations for a changing Rayleigh number to determine the neutral stability condition by a criterion of [partial derivative]/[partial derivative]t=0 with nonzero streamwise derivatives.
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