VISCOUS MAGENTOHYDRODYNAMIC BOUNDARY LAYER
The behavior of the Blasius boundary layer, for a fluid of constant electricai conductivity, in the presence of a non-uniform magnetic field is studied. Distortion of the applied field due to currents flowing in the fluid is neglected; that is, the magnetic Reynolds number is assumed to be zero. Since the fluid is of uniform conductivity, the influence of the pressure distribution, caused by the interaction between the magnetic field and the inviscid flow, on the boundary layer is taken into account along with the Lorentz body force within the layer itself. The nonlinear boundary layer equations are solved by the method of power series expansion utilizing the Gortler variables. Particular aitention is given to the case in which the nonuniform field is established in a constant height channel. The boundary layer, then, is assumed to begin at some position along one wall, and grow in the downstream direction. For purposes of computation, the problem is further specialized to treat the case in which the nonuniform field is generated by a current-carrying wire imbedded in one wall of the channel and aligned normal to the flow. The results of a calculation, for one choice of the relevant nondimensional parameters, show that the reduction in skin friction is sufficient to separate the boundary layer. (auth)
- Research Organization:
- General Electric Co., Cincinnati
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-018597
- OSTI ID:
- 4014161
- Journal Information:
- Physics of Fluids (U.S.), Journal Name: Physics of Fluids (U.S.) Vol. Vol: 4; ISSN PFLDA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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