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Showing 1 to 8 of 8 for “"plane Couette flow"”.
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A dynamical-systems approach to understanding turbulence in plane Couette flow
… the theory to understanding turbulent fluid flows, which could be thought of as spatio-temporal chaos in a very-high dimensional space. The theory explains a system's dynamics in terms of the local dynamics of its periodic solutions; these are the periodic orbits in state space. We considered …
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Effect of self-stratification of sediment suspensions in turbulent plane Couette flow
… the formation and breakup of lutoclines in tidal flows. Sediment delivered by rivers into sea spread on the continental shelves, and are resuspended by waves or tidal currents. The sediment concentration near the bottom can be enhanced to a fairly high level, and a sharp concentration gradient …
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Exploring global dynamics in a low order model of parallel shear flow
The study of the onset of turbulence in the flow of fluids, which are governed by the Navier-Stokes equations, has produced some famous instabilities e.g. Kelvin Helmholtz instability. An important, and as of yet mysterious, flow is Plane Couette flow in which turbulence is observable. Another …
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Generalised nonlinear stability of stratified shear flows: adjoint-based optimisation, Koopman modes, and reduced models
… in the nonlinear stability of density stratified plane Couette flow. I begin by describing the history of transient growth phenomena, and in particular the recent application of adjoint based optimisation to find nonlinear optimal perturbations and associated minimal seeds for turbulence, the …
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Nonlinear and non-modal stability of structures evolving in shear flows
… that develop in various constant density flows. In particular, the stability of nonlinear structures which develop in rotating plane Couette flow is analyzed using Floquet theory, which allows the global stability of an important secondary nonlinear structure called a Taylor vortex to be …
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Effects of viscous dissipation on hydrodynamic stability of viscoelastic fluids
… for the effects of viscous dissipation, in plane Couette flow heated from below. All physical properties are assumed constant except the density in the body-force term of the momentum equation. Critical and marginal Rayleigh numbers are demonstrated for a variety of flow conditions for the …
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A Least Squares Closure Approximation for Liquid Crystalline Polymers
… of the proposed closure scheme in simple shear flow for a variety of shear rates and nematic polymer concentrations is examined, along with that of the four selected existing closure schemes. The flow phase diagram for the proposed closure scheme under the conditions of shear flow is constructed …
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On the stability of plane viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers
… instability of inviscid parallel shear flows are investigated through a linear stability analysis. We focus on the upper convected Maxwell model in the limit of infinite Weissenberg and Reynolds numbers. Specifically, we study the effects of elasticity on the instability of a few classes …