# Accession Number:

## AD0257441

# Title:

## KINEMATIC FORMULATION OF ROTATIONAL FLOW IN MAGNETOGASDYNAMICS

# Descriptive Note:

# Corporate Author:

## LOCKHEED MISSILES AND SPACE CO SUNNYVALE CALIF

# Personal Author(s):

# Report Date:

## 1961-05-01

# Pagination or Media Count:

## 1.0

# Abstract:

The steady, rotational flow of a perfectly conducting, ideal gas in the presence of a magnetic field is treated. The object is to seek a kinematic formulation -i.e., a reduction of the original equations describing the flow to a form in which the velocity is the only dependent variable. This formulation has been made for two cases plane flow in a transverse magnetic field and three-dimensional flow in which the magnetic field is parallel to the velocity everywhere. In both cases the kinematic formulation leads to a single vector equation whose solution completely determines the flow. The explicit form of the equation is derived for a perfect gas and is found to be independent of the strength of the magnetic field in both cases. In the parallel field case, it is necessary to employ a transformation due to Peyret which reduces the magnetogasdynamic flow to an ordinary gasdynamic flow of a fictitious gas. The form of the resulting kinematic equation is found to depend only on the Mach number of the original flow. Author