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Similarity Solutions for Magnetogasdynamic Outflows and Inflows with Viscous, Ohmic, and Thermal Dissipation between Inclined Walls
Author(s) -
Liron N.,
Wilhelm H. E.
Publication year - 1976
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.19760561106
Subject(s) - prandtl number , outflow , mechanics , inflow , magnetohydrodynamic drive , lorentz force , physics , laminar flow , magnetohydrodynamics , reynolds number , magnetic field , magnetic reynolds number , classical mechanics , flow (mathematics) , heat transfer , meteorology , turbulence , quantum mechanics
Numerical solutions are presented for outflows and inflows of a compressible, ionized gas between plane inclined walls, considering Lorentz forces due to an azimuthal magnetic field, viscous momentum transfer, thermal, ohmic, and viscous energy dissipation. The analysis is based on a similarity transformation of the flow fields which reduces the (nonlinear) partial differential equations of magnetogasdynamics into ordinary ones. In addition to regular, monotone outflow and inflow solutions, “oscillatory” outflow and “mixed” outflow and inflow solutions are shown to exist in steady state for certain values of the Reynolds, Prandtl, Mach, and Hartmann numbers. Mathematical theorems are established which define the conditions for the occurrence of these flow types.