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Linearized Solutions for Plane Jets
Author(s) -
Pozzi A.,
Bianchini A.
Publication year - 1972
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.19720520904
Subject(s) - laminar flow , jet (fluid) , homogeneous , plane (geometry) , physics , compressibility , mechanics , classical mechanics , mathematical analysis , function (biology) , mathematics , geometry , statistical physics , evolutionary biology , biology
In this note a general solution of the linearized problems of a plane laminar jet is presented. The basic model is that of an incompressible homogeneous thin jet into a medium at rest (Schlichting's model); but any different situation can be taken into account in a linearized form. In fact the analysis is performed in terms of a generic function F and the solution is presented by means of integrals of Legendre functions without specifying its expression. Three examples are considered: jets into a moving medium, jets of conducting fluids in the presence of a magnetic field and jets in a non‐homogeneous medium.