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Pressure Balance in a Toroidal Pinch

Description: Abstract: In the study of a linear pinch, use of the equation of pressure balance has proven to be a powerful method of analyzing data taken with a magnetic probe. The toroidal pinch, however, is a geometrically more complicated object, and the use of the pressure balance equations is not so clean cut. It is the object of this note to analyze the pressure balance equations for a torus to the point where they might prove useful in interpreting probe data.
Date: December 1958
Creator: Suydam, Bergen R.
Partner: UNT Libraries Government Documents Department
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Initial Conditions for the Dynamic Pinch

Description: Abstract: "The experimental formation of the dynamic pinch has been an art based upon available electrical condensers, available glass and quartz tubing and an empirically determined gas pressure range. This report attempts to correlate some of this empirical information with the processes of ionization, insulator wall heating, magnetic field penetration, and shock hydrodynamics."
Date: March 1957
Creator: Colgate, Stirling A.
Partner: UNT Libraries Government Documents Department
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Neutron Production in the Pinch Due to Instability Breakup

Description: Abstract: "The neutrons from the linear pinch in Berkeley have been shown to originate from deuteron collisions with a large net center-of-mass velocity in one direction along the axis of the pinch tube. The interpretation of this result is that the neutron production associated with the pinch is non-thermonuclear in origin. The object of this paper is to review the experimental evidence and discuss a possible source of the neutron production."
Date: May 12, 1956
Creator: Colgate, Stirling A.
Partner: UNT Libraries Government Documents Department
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Proposal for a High-Current Discharge Tube With Capacitor

Description: Abstract: This proposal describes a parallel-plate capacitor and the discharge tube with which it is hoped that implosion energies of 1000 eV can be given to deuterons by the pinch effect. The discharge tube is to be arranged so that no external series switch is required.
Date: March 18, 1955
Creator: Bostick, Winston H.
Partner: UNT Libraries Government Documents Department
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Small-Scale Instabilites of the Pinch and a Suggested Remedy: The Levitron

Description: Report discussing "experimental results on the classical stabilized pinch," "the usefulness of the Levitron in Stellarator-type operation," and "practical details of the levitation process." A configuration is presented which involves a "toroidal pinch tube inside which a rigid toroidal conductor is levitated by means of an induced magnetic field." Additionally, "an alternative scheme is considered, where the toroidal core is suspended from current-carrying wires, but this approach does not app… more
Date: September 1958
Creator: Colgate, Stirling A. & Furth, H. P.
Partner: UNT Libraries Government Documents Department
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Circuit Dynamics of the Pinch

Description: The following document aims to analyze the dynamics of a pinch tube, including the reaction back on the energy source.
Date: February 1960
Creator: Killeen, John & Lippmann, B. A.
Partner: UNT Libraries Government Documents Department
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Hydromagnetic Stability of a Diffuse Linear Pinch

Description: Abstract: "The hydromagnetic energy principle is applied to the derivation of necessary and sufficient conditions for the hydromagnetic stability of a linear pinch with distributed plasma current (a diffuse linear pinch). The results are quite general in that the axial and azimuthal components of the magnetic field, which determines the structure of the pinch completely, are treated as arbitrary functions of distance from the axis. For purpose of illustration, the general results are applied to… more
Date: August 1959
Creator: Newcomb, William A.
Partner: UNT Libraries Government Documents Department
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The Hard-Core Pinch. I

Description: This report analyzes a linear, hard-core pinch tube built to examine tubes afflicted by small-scale instabilities evident from many observations.
Date: July 31, 1959
Creator: Birdsall, D. H.; Colgate, Stirling A. & Furth, Harold P.
Partner: UNT Libraries Government Documents Department
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The Hard-Core Pinch. II

Description: This report describes a toroidal version of the hard-core pinch and the additional information it can obtain to what the analogous linear pinch can get.
Date: July 31, 1959
Creator: Birdsall, D. H.; Colgate, Stirling A. & Furth, Harold P.
Partner: UNT Libraries Government Documents Department
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Large Toroidal Stabilized Pinch Proposal

Description: This report focuses on the study of the stabilized pinch program made to increase the plasma temperature and improve the plasma conductivity and containment. One method proposed is the usage of a large toroidal stabilized pinch, which is described here.
Date: January 29, 1958
Creator: Colgate, Stirling A. & Furth, H. P.
Partner: UNT Libraries Government Documents Department
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Boundary-layer formation in the pinch

Description: From abstract: "A study is made of various processes that occur prior to the pinch effect when an electric field is applied to a deuterium gas. The variables of the problem are percentage of ionization, the electron and ion temperatures, the resistivity of the gas, and the current density."
Date: August 10, 1959
Creator: Killeen, John; Gibson, Gordon & Colgate, Stirling A.
Partner: UNT Libraries Government Documents Department
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Turbulent Pinch Experiments

Description: This report follows studies that were made the quasi-stable pinch produced by a relatively long duration low voltage capacitor discharge (5ma, 5kv) in a 600 cm long, 15 cm diameter metal tube.
Date: 1957
Creator: Sawyer, G. A. & Stratton, T. F.
Partner: UNT Libraries Government Documents Department
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A Proposal For Reducing Impurities in a Stabilized Pinched Discharge

Description: It is proposed to reduce the initial wall hangup and consequent plasma contamination of a stabilized pinched discharge by reducing the Bz pressure difference across the current sheath to nearly zero at early times. Two methods for accomplishing this are proposed, both involving multistage programming of the Bz system.
Date: July 31, 1957
Creator: Lovberg, Ralph H. (Ralph Harvey)
Partner: UNT Libraries Government Documents Department
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Stability of a Linear Pinch With a Thick Boundary

Description: The stability of a linear pinch is investigated by means of the "6W" formalism of E. A. Frieman. It turns out that when attention is confined to the surface layers of the plasma, convenient stability criteria can be deduced for very general cylindrically symmetric distributions of magnetic field and plasma.
Date: August 1957
Creator: Suydam, Bergen R.
Partner: UNT Libraries Government Documents Department
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Magnetic Field Distributions in a Pinched Discharge

Description: By use of small magnetic probes inserted into the discharge, the magnetic field distributions in the interior of a high-power pinched discharge have been measured as a function of time. From these data the current distributions can be deduced. By applying a static pressure calculation, in the cases when the radical pinch accelerations are small, the plasma pressure nkT in the pinch has been determined, with superimposed axial magnetic fields, and for stable and unstable configurations.
Date: November 20, 1956
Creator: Burkhardt, L. C.; Lovberg, Ralph H. (Ralph Harvey) & Phillips, J. A.
Partner: UNT Libraries Government Documents Department
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Instability of a Pinched Fluid with a Longitudinal Magnetic Field

Description: The stability of a pinched plasma equilibrium with a longitudinal magnetic field superimposed on the characteristic azimuthal magnetic field of the pinch current is studied theoretically. The linearized solutions are developed as helical perturbations of the plasma surface, and the behavior of these is given for the different cases of uniform longitudinal, longitudinal field zero inside the plasma, and for helices of the same and opposite sense to the helix which describes the total magnetic fi… more
Date: November 1953
Creator: Kruskal, Martin D. (Martin David), 1925-2006 & Tuck, J. L.
Partner: UNT Libraries Government Documents Department
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On the Conductivity of ionized Gas

Description: The conductivity of ionized gases is treated by a method similar to that used by Alfven in his book "Cosmical Electrodynamics". The results differ from those of Alfven. In particular, it is shown that Alfven's conclusion, that whenever the Hall current disappears the conductivity becomes independent of the magnetic field, is not true in general. Moreover, it is not true under just the conditions of interest for the "Pinch Effect". The main conclusions of the present paper are (1) of currents do… more
Date: September 15, 1954
Creator: Konopinski, Emil Jan, 1911-
Partner: UNT Libraries Government Documents Department
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Infinite Conductivity Theory of the Pinch

Description: With the assumption of infinite conductivity a simple model may be constructed for the dynamic construction of a current carrying plasma, i.e., the pinch effect. The magneto-hydrodynamic equations of this model are discussed and solved. It is also shown that the infinite conductivity model can be derived from a picture of particles orbiting without collisions in the fields set up by their motions.
Date: September 14, 1954
Creator: Rosenbluth, M.; Garwin, R. & Rosenbluth, A.
Partner: UNT Libraries Government Documents Department
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Theory of the Pinch Effect

Description: Five Langmuir-Tonks equations given in Section V of LA-1432 were modified to give a clearer picture of the pinch effect.
Date: unknown
Creator: Allis, William P. (William Phelps), 1901-1999
Partner: UNT Libraries Government Documents Department
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The Homopolar Device

Description: This paper is intended as a preliminary report on the Homopolar configuration (axial magnetic field with radial electric field), which is the rotating configuration most thoroughly studied thus far. The analysis presented in this paper applies principally to the "ideal" Homopolar, that is, the configuration free from electrode-sheath drops and other disturbing but remediable phenomena. Design considerations for various interesting plasma appliances are derived and documented with preliminary ex… more
Date: January 1958
Creator: Anderson, O. A.; Baker, W. R.; Bratenahl, A.; Furth, H. P.; Ise, J., Jr.; Kunkel, Wulf B. et al.
Partner: UNT Libraries Government Documents Department
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Stability of the Pinch

Description: In this report, the stability of a pinched fluid is studied theoretically, under the combined influence of a longitudinal magnetic field and conducting exterior shell. Conditions allowing complete stability are found.
Date: April 1956
Creator: Rosenbluth, M. N.
Partner: UNT Libraries Government Documents Department
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