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ON THE IMPULSIVE MOTION OF A FLAT PLATE IN A VISCOUS FLUID
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References
1951
Year
Viscoplastic FluidCompressible FlowEngineeringMechanicsFluid MechanicsHyperbolic Conservation LawBoundary LayerFluid-solid InteractionRheologyThe Impulsive MotionNonlinear Hyperbolic ProblemMultiphase FlowEssential SingularityCompression WavesHydrodynamic Stability
The motion in the boundary layer which arises when a semi-infinite flat plate is impulsively started from rest with velociyt U is investigated. It is found that the velocity field is independent of x, the distance along the plate if Ut<x, and at Ut=x the flow has an essential singularity, thereafter depending on x as well as x as well as t. As tââ the influence of t is shown to die out exponentially. Solutions are also obtained using two approximate methods and they both agree in requiring the velocity to be independent of x for a finite time. The same problem is also solved for a compressible fluid. It is found that in this case the outflow is increased and this may lead to the formation of two compression waves.