Citation
Albini, Frank A. (1962) Part I. Relaxation time of onedimensional, laminar deflagration for first order reactions. Part II. Reflection and transmission of electromagnetic waves at electron density gradients. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:07262011115318209
Abstract
Part I. The onedimensional, timedependent equations describing laminar deflagration are solved by an integral method, under the assumption of a physical model for the flame structure and behavior, with restrictions on the type of deviation from steadystate behavior. By virtue of application of a hotboundary approximation of the von Kármán type, certain sensitive integrals are expressed in a form independent of the temperature profile assumed. Two cases are considered: the "thermal theory" neglecting diffusion, and the case of unity Lewis number (temperature/concentration similarity). Only first order reactions are considered. Arguments supporting the generality of the results are included, along with a discussion of accuracy, and some comparison with experimental work. Graphical display of the results anticipates the utility of the theory for correlating and crosschecking experimental data. It is concluded that the relaxation time is closely related to the time required for the gas undergoing rapid chemical reaction to pass through the flame. Part II. The interaction of an electromagnetic wave with a mildly ionized gas is described by an ensemble average treatment of electron motion, and under this description, electromagnetic wave propagation parameters derived. Motivated by the fact that mildly ionized gases in general exhibit inhomogeneous boundary regions, exemplary transition zones are described in terms of varying electron density but constant collision frequency, in order to simplify the solution of wave problems. The halfspace reflection problem with a linear transition zone is solved exactly and under two approximations. It is discovered that the reflection and transmission coefficients are strong functions of zone thickness for thin zones. A piecewiselinear transition zone solution exemplifies the procedure for constructing an approximate solution to an arbitrary profile and illustrates the relative insensitivity of reflection and transmission coefficients to detailed zone structure. The "slab" reflection problem with symmetrical, linear transition zones is solved exactly, and it is discovered that the basic periodicity of reflection and transmission coefficients with slab thickness is unchanged, although shifted to higher values of slab thickness/wavelength. The text is supported by fairly extensive graphical presentation of results.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Mechanical Engineering 
Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Mechanical Engineering 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1962 
Record Number:  CaltechTHESIS:07262011115318209 
Persistent URL:  http://resolver.caltech.edu/CaltechTHESIS:07262011115318209 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  6547 
Collection:  CaltechTHESIS 
Deposited By:  Benjamin Perez 
Deposited On:  26 Jul 2011 20:23 
Last Modified:  26 Dec 2012 04:37 
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