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