By a variably inclined MHD plane flow we mean a flow in which the magnetic and velocity fields are coplanar, the angle between these vector fields is variable and all the flow variables are functions of two coordinates and time. No work seems to have been done for these general plane MHD flows, even in the steady case. In the present paper the work in steady, viscous, incompressible flows is extended to general variably inclined, but nowhere aligned, flows with the objective of obtaining some exact solutions. We employ the hodograph transformation, one of the strong analytical methods, to find these solutions.

Hodograph transformations and solutions in variably inclined MHD plane flows

On steady plane magnetohydrodynamic flows with orthogonal magnetic and velocity fields

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The flow of a viscous MHD fluid

In this paper, a well-known Hamel’s result is extended and the physical and geometric consequences of zero electric current density are studied for MHD flows, with orthogonal magnetic and velocity field distributions, by taking a new approach.

Viscous Orthogonal MHD Flows

Plane constantly inclined magnetogasdynamic flows

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On plane viscous magnetohydrodynamic flows

Physical conditions and geometric implications are determined if two stationary, MHD aligned flows have the same streamline patterns. This study is carried out for incompressible and irrotational compressible plane flows; incompressible axially symmetric flow and incompressible spatial doubly laminar flow.

On the uniqueness of MHD aligned flows with given streamlines

Plane steady state viscous fluid flows, in which the magnetic field and velocity field are constantly inclined to one another, are considered. Necessary and sufficient physical conditions have been derived for flows with zero current density and the general solutions for these flows are obtained. Irrotational flows and flows with straight streamlines are also studied.

Plane MHD Steady Flows with Constantly Inclined Magnetic and Velocity Fields

The geometries of flows with constant speed along each individual streamline, sonic flows, and flows with isometric nets are determined. Study of two dynamically distinct flows having the same streamline pattern is made, Solutions for vortex, radial, and parallel flows are obtained. (auth)

Two-Dimensional Steady Magneto-Fluid-Dynamic Flows with Orthogonal Magnetic and Velocity Field Distributions

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O. P. Chandna

Papers

On plane viscous magnetohydrodynamic flows

On the uniqueness of MHD aligned flows with given streamlines

Plane MHD Steady Flows with Constantly Inclined Magnetic and Velocity Fields

Two-Dimensional Steady Magneto-Fluid-Dynamic Flows with Orthogonal Magnetic and Velocity Field Distributions

On plane viscous MHD flows: II