Accession Number : AD0470076

Title :   PROPAGATION OF PLANE COMPRESSIONAL WAVES OF FINITE AMPLITUDE IN REAL FLUIDS (A THEORETICAL APPROACH BY THE METHOD OF IMPLICIT FUNCTIONS).

Descriptive Note : Technical rept.,

Corporate Author : MICHIGAN STATE UNIV EAST LANSING ULTRASONICS LAB

Personal Author(s) : Bow,Yen Fu

Report Date : 20 JUL 1965

Pagination or Media Count : 54

Abstract : A theory is formulated describing the distortion of a plane, initially sinusoidal, compressional wave (or sound wave) of finite amplitude traveling through a real (nonlinear and dissipative) fluid medium which is initially undisturbed. The development of the theory consists of two steps. The first step is to find a closed-form approximate solution (expressed as an implicit functional relation) to the onedimensional hydrodynamical equations and the equation of the medium, and the second step is to improve this approximate solution by using certain physical insights. From the existence theorem of implicit functions a single condition is obtained from which the general behavior of sound propagation in a dissipative medium can be easily understood. The approximate solution found in the first step is in fairly good agreement with the experimental results and is compatible with previous theories. (Author)

Descriptors :   (*SOUND TRANSMISSION, FLUIDS), ACOUSTICS, THEORY, ULTRASONIC RADIATION, EQUATIONS OF STATE, MATHEMATICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, OPTICAL ANALYSIS, ONE DIMENSIONAL FLOW, HYDRODYNAMICS, PROPAGATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE