Abstract
The nonlinear stability of time-periodic Poiseuille Flow is investigated using the Energy Theory. The time dependency in the basic flow is obtained by periodic modulation of the ground temperature. Energy stability limits, obtained by a combination of Galerkin and Floquet methods, are lowered by the thermal modulation. For both strong and mean energy formulations, the effect of increasing the modulation amplitude is to destabilize the flow which is demonstrated by a decrease in the stability boundary. A shift in the critical wavenumber due to modulation is also observed.
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