Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2002 · 14 citations · 4 references
Natural SciencesMechanical EngineeringPhysicsFluid DynamicsFluid MechanicsHeat TransferFlow StabilityFrictional HeatingHeat Transfer In FluidsHydrodynamic StabilityViscous FlowCouette FlowTurning Point AnalysisViscous EffectsWall Shear Stress
If the viscosity of a fluid in plane Couette flow decreases exponentially as its temperature increases, the curve of wall speed versus wall stress has two branches, separated by a turning point. Our aim is to demonstrate that the upper branch of this curve is stable to zero wavenumber disturbances in case the power supplied to move the wall is the input variable and is held fixed.
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