Stability of a Plane Poiseuille Flow of a Second-Order Fluid
- 1 January 1968
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 11 (1), 5-9
- https://doi.org/10.1063/1.1691778
Abstract
The effect of slight viscoelasticity on the hydrodynamic stability of a plane Poiseuille flow is investigated by the linearized method of small two‐dimensional disturbances. The resulting equation is that of Orr‐Sommerfeld, modified however by a non‐Newtonian term. The constitutive equation used to represent the response of the fluid is that of a second‐order fluid. The equations are solved numerically, and compared with the results of Thomas. The critical Reynolds number is found to be lowered as the magnitude of a non‐Newtonian parameter increased.Keywords
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