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  • 1
    Electronic Resource
    Electronic Resource
    Unsteady flow in a nonuniform channel: A model for wave generation (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 199-208 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is known that a propagating wave train can be generated in unsteady flow in a nonuniform channel. A small amplitude inviscid theory is derived in which the forced displacement of the streamlines is governed by a linearized Korteweg–de Vries equation with time-dependent coefficients. Solutions of this equation for a channel with an asymmetric expansion show a standing wave with a propagating wave front, the amplitude of which is modified by a forced oscillation and by wave packets which travel downstream at a velocity greater than the group velocity for the main wave. An analytical model, based on the assumption of a standing wave, successfully predicts the wavelength of the main wave, the magnitude of the forced oscillation, and the velocity of the wave packets. Predictions from the theory are also compared with numerical solutions of the full Navier–Stokes equations for flow in nonuniform channels; there is agreement on some but not all properties of the wave.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868066
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Boundary layer flow on a long thin cylinder (2002)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 14 (2002), S. 628-637 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The development of the boundary layer along a long thin cylinder aligned with the flow is considered. Numerical solutions are presented and compared with previous asymptotic results. Very near the leading edge the flow is given by the Blasius solution for a flat plate. However, there is soon a significant deviation from Blasius flow, with a thinner boundary layer and higher wall shear stress. Linear normal mode stability of the flow is investigated. It is found that for Reynolds numbers less than a critical value of 1060 the flow is unconditionally stable. Also, axisymmetric modes are only the fourth least stable modes for this problem, with the first three three-dimensional modes all having a lower critical Reynolds number. Further, for Reynolds numbers above the critical value, the flow is unstable only for a finite distance, and returns to stability sufficiently far downstream. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1427921
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    Paper (German National Licenses)
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