ON THE FLOW OF A VISCOUS ELECTRICALLY CONDUCTING FLUID. Research Report 73
The magnetohydrodynamic flow of a viscous incompressible fluid of constant properties past a flat plate is investigated. The applied magnetic field is parallel to the free stream direction and the plate is at zero angle of attack. A number of explicit solutions of the linearized theory are presented for the flow past a semi-infinite plate which is either sucking or injecting a conducting fluid into the main stream. Unlike the case of super-Alfven flow (where the free stream velocity is greater than the Alfven wave speed) no solution exists in the problem of sub-Alfven flow past a semi-infinite flat plate which is either impermeable or injecting fluid. Special solutions do exist for certain values of the suction velocity. The sub-Alfven flow past a long finite impermeable plate is studied in some detail and the magnitude of the viscous wake is compared to the similar type upstream disturbance produced by the forward propagation of Alfven waves. In the case of infinite conductivity, it is found that the upstream disturbance is approximately one plate length long measured from the leading edge. In connection with the super-Alfven flow past a semi- infinite plate which is injecting a fluid whose conductivity differs from that of the main stream, the inadequacies and failures of the linearized theory are discussed. (auth)
- Research Organization:
- Avco Corp. Avco-Everett Research Lab., Everett, Mass.
- DOE Contract Number:
- AF49(638)-61
- NSA Number:
- NSA-14-007866
- OSTI ID:
- 4195054
- Report Number(s):
- AFOSR-TN-59-1221
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-60
- Country of Publication:
- United States
- Language:
- English
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