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Reciprocal Properties in Magnetogasdynamics
Author(s) -
Power G.,
Tunbridge Anne
Publication year - 1963
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.19630430405
Subject(s) - magnetohydrodynamic drive , reciprocal , compressibility , flow (mathematics) , compressible flow , simple (philosophy) , physics , magnetohydrodynamics , magnetic field , incompressible flow , mathematical analysis , type (biology) , classical mechanics , mathematics , mechanics , geology , paleontology , linguistics , philosophy , epistemology , quantum mechanics
The steady, compressible, two‐dimensional subsonic flow of a gas with infinite conductivity in a magnetic field parallel to the velocity field is considered here, and the equations of motion are transformed to obtain a linear equation of the Chaplygin type. Reciprocal properties are derived, in which to every flow pattern there corresponds a certain simple pressure‐density law. From these results an approximation method for solving certain types of magnetohydrodynamic compressible flow problems is deduced, and an example is given showing how the method may be applied.