A note on the growth of disturbances at an inviscid interface

Shankar, PN (1979) A note on the growth of disturbances at an inviscid interface. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    This note considers the evolution of disturbances at the interface between two parallel, uniform, inviscid streams. It is shown that even when the interface is unstable in the classical sense the time evolution of the interface 7z(;(t) can be computed for a wide class of initial interface shapes x20AC; ILo(X) . For example if the two streams are of the same density and the Fourier transform 7f (quot;A) of I? (x) decays sufficiently o '0 rapidly the time evolution of 1z ' if '!. (X) is analytic, is given by (x)t)=E Q-oC)tZ2cquot;@l-oC:)-\-(\+o)i} -1quot;{x - (C\+ c;!J +(i-c()L)t/Zj-_] where 0( (1=.i.) is the ratio of the speeds of the two streams. When the two streams also13; move at the same speed (::::.), the growth of is13; given by il(-x:)t)=Z(-X-t)+t d.r;o(X-t) with very mild restrictions on ? (:x).

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Fourier transform
    Subjects: ENGINEERING > Electronics and Electrical Engineering
    ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Aerodynamics
    Depositing User: Poornima Narayana
    Date Deposited: 24 Aug 2006
    Last Modified: 24 May 2010 09:49
    URI: http://nal-ir.nal.res.in/id/eprint/2534

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