SHEAR FLOW OF A CONDUCTING FLUID IN THE PRESENCE OF A MAGNETIC FIELD

Journal Article · Mon Jan 01 04:00:00 EST 1962 · Appl. Sci. Research

OSTI ID:4796418

Sarma, L V.K.V.

The effect of uniform vorticity present in the free stream on the interaction of the flow and magnetic fields for the case of two-dimensional flow of an inviscid, incompressible perfectly conducting fluid is considered. The exact non-linear equations for the stream function of the flow and the magnetic field function are obtained when the uniform applied magnetic field is parallel to the free-stream direction. These equations are linearized by assuming the perturbation from the undisturbed flow to be small. The flow past a sinusoidal wall is studied on the basis of these linearized equations. In the absence of shear the small perturbation theory shows that the flow field and magnetic field are irrotational for all values of m (the ratio of the fluid velocity to Alfven velocity) except 1. The governing equations in the case m = 1 are obtained, starting from the non-linear equations. The flow past thin aerofoils can be studied on the basis of these equations. It is however observed that for a full description of the flow in this case a somewhat simplified non-linear equation is to be solved. (auth)

• Research Organization: Indian Inst. of Tech., Bombay
• NSA Number: NSA-16-015287
• OSTI ID: 4796418
• Journal Information: Appl. Sci. Research, Journal Name: Appl. Sci. Research Vol. Vol: 9B
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

AIR
ALFVEN SPEED
ALFVEN WAVES
CONFIGURATION
ELECTRIC CONDUCTIVITY
EQUATIONS
FLUID FLOW
FLUIDS
FOILS
INTERACTIONS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
PERTURBATION THEORY
PHYSICS
PLASMA WAVES
SURFACES
TENSILE PROPERTIES
TURBULENCE
VELOCITY
VESSELS