The effect of a single resonant expansion chamber on the propagation of long waves in a channel.
Loading...
Authors
Hudspeth, Robert Turner
Subjects
Advisors
Ekse, Martin I.
Date of Issue
1966
Date
Publisher
University of Washington
Language
en_US
Abstract
The study of the effect of resonant expansion systems on the
propagation of long waves is presented in this thesis as a design
problem in coastal hydraulics. Two previous studies which have been
made on similar systems are presented in Chapter I to provide background
material on the subject. The first study presented was made
by Lamb (1916); and it demonstrates that reflection of long waves can
be obtained by an expansion system and that the amount of wave energy
that is reflected is a function of the geometry of the system. The
second study presented was made by Valembois (1953) and is based
on a hydrodynamic impedance theory. An important point to note in
Chapter I is that both of these studies use a scalar equation of pressure continuity and a vector equation for the conservation of mass to obtain
a solution. A new solution is derived in Chapter 2 by formulating a
boundary value problem which incorporates the same type of boundary
condition equations noted earlier. The problem is formulated in considerable
detail to demonstrate the type of problem solution technique
which is required to solve problems arising in coastal hydraulics. The
details given in the problem statement become important later when
the effect of geometrical changes of the resonant system are evaluated.
Chapter 3 discusses the interdependance required between Civil Engineering and Oceanography to effect a complete solution to a design
problem in coastal hydraulics. Several methods for presenting wave
data are given, and one of these methods is selected for the design
problem being considered. Finally, a linear analysis is employed in
Chapter 4 to evaluate the effect of the resonator on the propagation of
long waves by combining the solution derived in Chapter 2 with the
spectral method of wave data presentation selected in Chapter 3.
The results of the linear analysis are presented in graphical form
as a measure of the amount of wave energy that is reflected and
transmitted by the resonator.
Type
Thesis