Date of Award

Spring 1970

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Electrical Engineering

First Advisor

Nigro, N.

Second Advisor

Elkouh,

Third Advisor

Richardson, R.

Abstract

The problem of wave propagation in a fluid contained in a flexible tube is of considerable interest in many fields. In Bio-Mechanics, for example, the study of blood flow and the pressure propagation in the arterial system requires an understanding of this problem. One method of achieving this understanding is through the development and the solution of the mathematical models. Whenever a fluid contained in an elastic tube is excited, the resulting disturbance travels in a form of wave. The problem discussed in this paper involves wave propagation in an infinitely long elastic tube of circular cross section which is composed of a homogeneous isotropic material. The objects of this investigation are (1) to develope a one dimensional equation of motion by the variational approach, (2) to determine the response with respect to frequency change, i.e. , to determine the phenomenon known as dispersion, and (3) to compare the results with those of other investigators.

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