AN INVISCID BOUNDARY LAYER OF MAGNETOHYDRODYNAMICS
Technical Report
·
OSTI ID:4221260
A boundary-layer approximation for fluids with large electrical conductivities is applied to the two-dimensional, steady, inviscid, incompressible magnetohydrodynamic equations for the case of a uniform magnetic field parallel to the free stream. Two approaches to the solution of the magnetic boundary layer are used. In the first, the approximate integral method is used to derive equations analogous to the von Karman integral momentum equation of viscous theory. These equations are integrated for flow of the type mu /sub 1/ = Cx/sup n/. In the second approach the exact magnetic-boundary-layer equations are transformed, for similar flows, into a system of ordinary differential equations. The solution of these equations is found in the form of a power series expansion in a parameter equal to the Alfven speed divided by the freestream velocity. Numerical results are given for several cases of similar flow. In sub-Alfvenic flow, evidence points to a boundary layer growing in the direction opposite to the flow. (auth)
- Research Organization:
- Cornell Univ., Ithaca, N.Y. Graduate School of Aeronautical Engineering
- NSA Number:
- NSA-14-003844
- OSTI ID:
- 4221260
- Report Number(s):
- AFOSR-TN-59-927
- Country of Publication:
- United States
- Language:
- English
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