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Computing Problems in Nonlinear Hydrodynamic Stability
The Physics of Fluids, 1969Questions arising in nonlinear hydrodynamic stability such as the calculation of an equilibrium flow field when the basic flow is unstable, wavenumber selection, and successive instabilities are considered for the classical problem of flow between concentric rotating cylinders. Recent numerical and analytical work dealing with calculation of the Taylor
DiPrima, R. C., Rogers, E. H.
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On the Stability Problem in Hydrodynamics
Mathematical Proceedings of the Cambridge Philosophical Society, 1936AbstractThe paper deals with the problem of the effect of two-dimensional first order disturbances on the linear and parabolic flows of a viscous fluid. If the laminar flow is in the direction x and is bounded by the planes y = ±h, and if the stream function of the disturbance is assumed to be of the form , it is found that, for small Reynolds numbers ...
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Classical Hydrodynamic Stability
1985Let Ω ⊂ R 3 be a domain (i.e. an open connected set) in which the flow of an incompressible viscous Newtonian fluid, acted upon by the body force f(x, t) takes place.
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Introduction to Hydrodynamic Stability
2002Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course,
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The Theory of Hydrodynamic Stability
1977A large body of theoretical work has been developed in attempts to understand and predict phenomena of the sort described in the previous chapter. In most cases the cause of the instability can be formulated in a way that gives some physical understanding of the processes involved.
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Single phase nanofluids in fluid mechanics and their hydrodynamic linear stability analysis
Computer Methods and Programs in Biomedicine, 2020Mustafa Turkyilmazoglu
exaly