Diffraction of Hydromagnetic Wave by a Half Plane (open access)

Diffraction of Hydromagnetic Wave by a Half Plane

"In this paper we solve for the diffracted wave which results when a weak hydromegnetic shock impinges on a rigid perfectly conducting half plans."
Date: September 30, 1960
Creator: Gardner, Clifford S.
System: The UNT Digital Library
The Effect of Temperature on the Width of a Small-Amplitude, Solitary Wave in a Collision-Free Plasma (open access)

The Effect of Temperature on the Width of a Small-Amplitude, Solitary Wave in a Collision-Free Plasma

"Adlam and Allen and Davis, Lust, and Schluter have studied nonlinear plane-waves, propagating normal to the magnetic field, in a cold plasma. One solution of particular interest is a solitary wave, or single pulse. We present a method for solving the analogous problem for a plasma with finite temperature, in the limiting case where the amplitude of the wave is small and where, consequently, the width of the waver is very large."
Date: March 15, 1961
Creator: Gardner, Clifford S.
System: The UNT Digital Library
Sherwood progress report no. 4, July 1959 - December 1960 (open access)

Sherwood progress report no. 4, July 1959 - December 1960

"Activities related to Project Sherwood are summarized under the following topics: propagation of waves, macroscopic magneto-fluid dynamics, stability, particle orbits, cusped geometries, collisionless shock theory, and other subjects."
Date: March 1, 1961
Creator: Grad, Harold, 1923-
System: The UNT Digital Library
The Numerical Solution of a Parabolic System of Differential Equations Arising in Shallow Water Theory (open access)

The Numerical Solution of a Parabolic System of Differential Equations Arising in Shallow Water Theory

"A finite difference approximation to a non-linear set of parabolic differential equations arising in shallow water theory is given. These difference equations were used to determine the shape and rate of propagation of a hum of fluid down a channel of constant depth. The hump of fluid was found to spread instead of steepen, as is the case in the usual shallow water theory."
Date: October 15, 1960
Creator: Heller, Jack & Isaacson, Eugene
System: The UNT Digital Library
Equilibrium Configuration of a Plasma in the Guiding Center Limit (open access)

Equilibrium Configuration of a Plasma in the Guiding Center Limit

"We compute the equilibrium configuration of a collision-free plasma contained in an axially symmetric magnetic field. The plasma is characterized by a non-scalar pressure tensor which is obtained from a microscopic distribution function in a form suggested b the guiding center approximation. The solution is calculated in the limit where the ratio of the width to the length of the plasma region and the ratio of the gas to the magnetic pressure are both small. Boundary values at the midplane as well as the shape of the plasma appear as arbitrary parameters in the solution. We give the solution to a corresponding scalar pressure problem for comparison."
Date: September 15, 1960
Creator: Oppenheim, Alan
System: The UNT Digital Library
On the Kinetic Theory of Steady Gas Flows (open access)

On the Kinetic Theory of Steady Gas Flows

An approximate Boltzmann equation, known as the single relaxation model is studied here. This equation is linearized and the fundamental solution is considered. Following N. Grad, the solution, asymptotic in small values of the ratio of mean-free-path to distance from the origin, is sought. It can be shown that the fundamental solution itself gives the asymptotic description of the flow field past an object. This solution gives the asymptotic description when the distance from the origin is much greater than either the mean-free-path or the body size. This is true independently of the Knudsen number.
Date: June 28, 1960
Creator: Sirovich, L., 1933-
System: The UNT Digital Library