Analog studies of upstream-inclined waves in magneto-gasdynamic flow
An analog was devised to study two dimensional magneto-gasdynamic flow for the case of aligned magnetic and velocity fields and a perfectly-conducting compressible fluid. The analog consists of stretched elastic sheets in an incompressible fluid. The elastic sheets are analogous to a magnetic field and produce a body force on the fluid when displaced from their equilibrium positions. The differential equations describing the system are the same as the magneto-gasdynamic equations for the case cited, except for the expression for the body force in the momentum equations. Analysis of the analog system reveals striking similarties between the small disturbance propagation characteristics of that system and magneto-gasdynamics. In particular, it is shown that it is possible to simulate the conditions under which forward-inclined disturbance waves are predicted in magneto-gasdynamics flows about bodies. (Author).
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adjacent sheets Aerospace Engineering Alfven Number aligned-fields analog field body force body was towed characteristic surface component of analog component of Ohm's compressible continuity equation convective derivative CORNELL UNIVERSITY LIBRARIES cusped triangles differential equations disturbance front Disturbance Pattern Produced disturbance pulse EHD Friedrichs diagram EHD wave elliptic regime Engineering Physics equilibrium position field lines Figure 12 figures 13A fluid conductivity fluid is incompressible fluid particle force per unit forward-facing wave Forward-Inclined Waves Produced forward-propagating disturbances hyperbolic regime Impulsive Motion incompressible fluid kink traveling lucite cover magnetic field MAGNETO-GASDYNAMIC FLOW Maxwell's equations MHD flow momentum equations natural rubber normal Ohm's Law piston plane wave problem produce forward-inclined waves pulley pulse curves rubber sheets set of equations shaft Small disturbances speed stretched elastic sheets sub-Alfvenic super-Alfvenic flows surface waves Taniuti-Resler two-dimensional UPSTREAM-INCLINED WAVES vector inclined wave angles wave front wave pattern wave vector wave velocity vector wave-velocity hodograph