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On the Stability of Plane Poiseuille Flow
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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The stability of plane Poiseuille flow was studied using theory developed by Harrison. A similarity transformation was introduced which reduces computation time and provides better insight into the basic relations. The stability of the flow was examined from a Lagrangian viewpoint. Instability was found to be progressive in nature and three distinct levels were identified, namely incipient, critical, and fully developed instability. Results show that the critical Reynolds number can be lowered indefinitely if certain types of perturbations occur. Specifically these involve relatively abrupt changes in amplitude. This provides a possible explanation for the disagreement between earlier theory and experiment.
APPROVED FOR PUBLIC RELEASE