Accession Number : AD0830063

Title :   A THEORETICAL INVESTIGATION OF FINITE AMPLITUDE STANDING WAVES IN RIGID WALLED CAVITIES.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Ruff, Paul Gray, III

Report Date : DEC 1967

Pagination or Media Count : 147

Abstract : The Coppens-Sanders perturbation solution for the one-dimensional nonlinear acoustic wave equation with dissipative term describing the viscous and thermal energy losses encountered in a rigid walled, closed tube with large length-to-diameter ratio was extended to include sixth order terms. The solution was then investigated to determine the region of validity. Computer programs were written to evaluate and graph the resulting waveforms. Available experimental results were compared with the theoretical predictions and good correlation was found to exist in the region of low Mach numbers. This agreement was found to gradually deteriorate as the Mach number was increased. A Fourier synthesis approach is also presented and the leading terms of the first ten harmonics are derived. (Author)

Descriptors :   (*WAVE PROPAGATION, PIPES), EQUATIONS OF STATE, ONE DIMENSIONAL FLOW, THEORY, NONLINEAR SYSTEMS, PERTURBATION THEORY, VISCOSITY, HEAT, ATTRITION, EQUATIONS, NUMERICAL ANALYSIS, FOURIER ANALYSIS, POTENTIAL THEORY, MATHEMATICAL PREDICTION, CORRELATION TECHNIQUES, WAVEFORM GENERATORS, COMPUTER PROGRAMS, CURVE FITTING, THESES.

Subject Categories : Statistics and Probability
      Computer Programming and Software
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE