Similarity and Dimensional Methods in Mechanics

Similarity and Dimensional Methods in Mechanics

Author: L. I. Sedov

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 496

ISBN-13: 135141657X

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Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.


AFOSR.

AFOSR.

Author: United States. Air Force. Office of Scientific Research

Publisher:

Published: 1960

Total Pages: 940

ISBN-13:

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On the Similar Solutions of Strong Blast-waves and Their Application to Steady Hypersonic Flow

On the Similar Solutions of Strong Blast-waves and Their Application to Steady Hypersonic Flow

Author: Eric François Brocher

Publisher:

Published: 1961

Total Pages: 184

ISBN-13:

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The exact 'constant-energy' solution of strong blast waves is expanded in powers of the density ratio across the shock wave; physical quantities are expressed directly as functions of the similitude parameter. The range of validity for t.;e application of this solution to hypersonic flow is then studied as a function of the density ratio. The general similar solution of the strong blast wave is found in the Newtonian approximation. The results are applied to power-law bodies in hypersonic flow using the equivalence principle. The pressure distribution on slender bodies of arbitrary shape is obtained and agrees with the Newton-Busemann pressure formula. Higher-order approximations are derived for the cases in which the shock layer is thin. A simple pressure formula is obtained and some of its applications are shown. (Author).