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Pile Kinetics

Description: From abstract: "A pile will run steadily at an arbitrary level if it is just critical. For a pile not at equilibrium, equations of motion can be set up that contain as variables the pile power, the number of delayed neutron emitters and, in case it is of importance, also the pile temperature. The coefficients will depend on the average lifetime of the neutrons in the pile, the fractions and periods of delayed neutrons, temperature coefficients of resistivity and similar quantities. For a defini… more
Date: June 14, 1946
Creator: Nordheim, L. W.
Partner: UNT Libraries Government Documents Department
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Effect of Product of Inertia on Lateral Stability

Description: Note presenting a theoretical investigation made to determine the effect of the product-of-inertia terms in the lateral equations of motion on the lateral-stability boundaries. The product of inertia results from the inclination of the principal longitudinal axis of the airplane to the flight path. The results indicated that the product-of-inertia terms should be included in the lateral equations of motion to determine the lateral stability of an airplane.
Date: March 1947
Creator: Sternfield, Leonard
Partner: UNT Libraries Government Documents Department
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Extension to the Cases of Two Dimensional and Spherically Symmetric Flows of Two Particular Solutions to the Equations of Motion Governing Unsteady Flow in a Gas

Description: "The author previously discovered two interesting particular solutions to the equations of motion describing unsteady flow in a gas confined solely to a one-dimensional duct. These solutions are now extended to cover the more noteworthy cases of central symmetry in two and three dimensions" (p. 1).
Date: June 1952
Creator: Pozzi, Lorenzo
Partner: UNT Libraries Government Documents Department
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On the Analysis of Linear and Nonlinear Dynamical Systems From Transient-Response Data

Description: Note presenting a general theory of the so-called equations of motion methods for the analysis of linear dynamical systems. When viewed from this general vantage point, all of the linear methods can be extended in a straightforward manner to apply to the analysis of nonlinear systems.
Date: December 1954
Creator: Shinbrot, Marvin
Partner: UNT Libraries Government Documents Department
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RADIOLOGICAL PHYSICS DIVISION SEMIANNUAL REPORT FOR JULY THROUGH DECEMBER 1958

Description: ABS>Progress is reported in the following studies: the decay time of irradiated scintillation solutions; the performance of twin scintillation detectors for measuring neutrons in the presence of gamma radiation; the measurement of cosmic ray neutron background with a twin scintillation fast neutron spectrometer; the diffusion and absorption of gases in plastic-walled ionization chambers; calculations of the drift velocity and the energy distribution of electrons of helium, neon, argon, and nitr… more
Date: May 1, 1959
Partner: UNT Libraries Government Documents Department
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The Satellite Code: A Numerical Satellite Integration Program for the IBM 704

Description: From Introduction: "This report is intended as a handbook for the users of the Satellite code which was developed as a general purpose satellite and space probe program. The components of acceleration, in a three-dimensional rectangular coordinate system, are integrated to produce the velocities and coordinates. These may be transformed into elliptical elements at each time step. The output, therefore, may resemble an integration in the coordinates as well as in the parameters."
Date: June 1959
Creator: Smith, Virginia S.; Bruijnes, Hans R. & Sherman, Nevin W.
Partner: UNT Libraries Government Documents Department
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Transverse Space-Charge Effects in Circular Accelerators

Description: The particles in an accelerator interact with one another by electromagnetic forces and are held together by external focusing forces. Such a many-body system has a large number of transverse modes of oscillation (plasma oscillations) that can be excited at characteristic frequencies by errors in the external guide field. In Part I we examine one mode of oscillation in detail, namely the quadrupole mode that is excited in uniformly charged beams by gradient errors. We derive self-consistent equ… more
Date: October 30, 1968
Creator: Sacherer, Frank James
Partner: UNT Libraries Government Documents Department
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Theory of chemical kinetics. Progress report, May 1, 1977--January 15, 1978. [Massachusetts Inst. of Tech. , Cambridge]

Description: Recent work on Franck--Condon factors in studies of the dynamics of chemical reactions is related; emphasis was on simple chemical rearrangement reactions. Other work concerned collision-free unimolecular decomposition of large molecules at a given total energy, equations of motion for simple quantum systems that are strongly driven by an external field and are modulated stochastically by a coupling to a bath, and the efficiency of rate processes in irreversible chemical reactions. This report … more
Date: unknown
Creator: Ross, J.
Partner: UNT Libraries Government Documents Department
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Applications of a revived Euler--Shohat Perturbation expansion technique in the study of ocean circulation. [Coastal waters]

Description: Consideration of geophysical vertical plane flows in estuaries and on continental shelves results in nonlinearly coupled partial differential equations for flow and density variables. For the case of steady flow, the equations are reduced to ordinary differential equations by the use of similarity transformations. The remaining nonlinearly coupled ordinary differential equations are solved using a revised Euler-Shohat perturbation technique. An existence theorem for this application of the tech… more
Date: January 1, 1974
Creator: Pietrafesa, L.J.; Struble, R.A. & Klinck, J.M.
Partner: UNT Libraries Government Documents Department
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Numerical solution of the Navier--Stokes equations at high Reynolds numbers

Description: A numerical method is presented which is designed to solve the Navier- Stokes equations for two-dimensional, incompressible flow. The method is intended for use on problems with high Reynolds numbers for which calculations via finite difference methods have been unattainable or unreliable. The proposed scheme is a hybrid utilizing a time-splitting finite difference method in areas away from the boundaries. In areas neighboring the boundaries, the equations of motion are solved by the newly prop… more
Date: January 1, 1974
Creator: Shestakov, A.I.
Partner: UNT Libraries Government Documents Department
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Vibrations of circular cylindrical shells

Description: An exact solution method for the free vibration problem of thin circular cylindrical shells is presented. The differential equations of motion are solved directly with the use of simple Fourier series as the modal displacement functions. Stokes' transformation is exploited to obtain correct series expressions for the derivatives of the Fourier series. From this method an explicit expression of the exact frequency equation can be obtained for any kind of boundary conditions. The accuracy of the … more
Date: July 1, 1975
Creator: Chung, H.
Partner: UNT Libraries Government Documents Department
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Forced oscillations of the Los Alamos Scientific Laboratory's dry hot rock geothermal reservoir

Description: Equations of motion are derived for the Los Alamos Scientific Laboratory's geothermal reservoir consisting of an elastic half-space (rock), with an open vertical pipe from the surface connected at depth with a vertical penny-shaped fracture. This reservoir, which is filled with water (laminar flow through a pipe), is subjected to seismic waves and/or blast-like impulses applied downhole. Oscillations (responses) of the water column, of the downhole internal net pressure required to keep the fra… more
Date: November 1, 1975
Creator: Hsu, Y.C.
Partner: UNT Libraries Government Documents Department
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Motion of a Loosely Fitting Piston in a Closed End Cylinder Containing a Perfect Gas

Description: The equations of motion are derived for a piston in a closed end cylinder containing a compressible perfect gas. These equations include the possibility of an arbitrary motion imposed on the cylinder. In the analysis, it is assumed that there is a clearance between the piston and the cylinder which is sufficiently small so that the flow in the gap is controlled by viscous forces.
Date: November 1, 1975
Creator: Stone, G. W.; Reis, G. E. & Kaestner, P. C.
Partner: UNT Libraries Government Documents Department
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Cooling antiprotons by electrons

Description: The principle of cooling antiprotons with a cold beam of electrons has been verified by recent experiments. A mechanism for cooling antiprotons is the key to obtaining sufficiently bright antiproton beams to perform antiproton-proton collisions with good luminosity. Since electron cooling has been demonstrated to work, an investigation was made of how many antiprotons can be collected and cooled with an electron beam alone in a period of about one day. This is compared to the corresponding numb… more
Date: January 1, 1976
Creator: Berley, D. & Month, M.
Partner: UNT Libraries Government Documents Department
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