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Effects of Compressibility upon the Stability Characteristics of a Free Shear Layer
Author(s) -
Shivamoggi Bhimsen K.
Publication year - 1979
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19790590902
Subject(s) - inviscid flow , compressibility , mechanics , shear flow , shear (geology) , incompressible flow , flow (mathematics) , discontinuity (linguistics) , stability (learning theory) , classical mechanics , mathematics , geology , physics , mathematical analysis , petrology , machine learning , computer science
This paper treats smoothly‐varying flow‐profiles subject to long‐wave disturbances in an unbounded isoenergetic shear‐layer flow, towards examining the effect of compressibility upon the inviscid stability characteristics of a free‐shear flow. Within the framework of the linear theory, the compressibility effects are found to promote the stability of the perturbed basic flow. In order to emphasise the trend of the compressibility effects revealed in the foregoing that considered the flow‐field to be inviscid for the purpose of stability analysis, the latter restriction is then removed and the viscous terms in the linearised‐disturbance equations are considered in the stability analysis; it is then found that the compressibility effects act towards promoting the stability of the perturbed basic flow thereby validating the conclusions reached in this direction previously under more restricted circumstances. Next, in order to clarify whether the inviscid result has anything to do with the allowance for a sharp discontinuity in the velocity profile underlying the arrangement, this paper then treats a free‐shear layer between two parallel streams, the velocity profile for the basic isoenergetic shear being continuous and given by u(y)=tanh y, and the same trend is observed in regard to the effects of compressibility upon the stability characteristics.