PROPAGATION OF PLANE COMPRESSIONAL WAVES OF FINITE AMPLITUDE IN REAL FLUIDS (A THEORETICAL APPROACH BY THE METHOD OF IMPLICIT FUNCTIONS).
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 20, 1965
- Accession Number
- AD0470076
Entities
People
- Yen Fu Bow
Organizations
- Michigan State University