Crane, Lawrence John (1959) Properties of jets and wakes. PhD thesis, University of Glasgow.
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Abstract
This thesis is a study of the affect of differences in the density of a fluid on the mixing regions of jets, which may be laminar or turbulent. These differences in density are present for three main reasons, namely; when the
speed of the fluid is of the same order of magnitude as the local speed of sound; when there are large temperature differences in the fluid; and when the fluid consists of a mixture of components the relative proportions of which
vary from point to point.
Three problems are considered. These are: the flow far from the orifice of a plane and of a round jet and the mixing region on the surface of the core of a plane jet near the orifice. This last problem is idealised as the mixing of two semiinfinite streams.
For flows of jet type, the assumption of a coefficient of eddy kinematic viscosity in turbulent flow leads to the possibility of combining in one the equations for laminar and turbulent motion.
The method used is to expand the stream function in a RayleighJansen series. The first term of this series corresponds to the stream function when the fluid is of constant density. The series is developed in powers of a small parameter whose magnitude depends on the density differences in the fluid. Only the second term of this series is found explicitly. This term gives the first order effect that changes in density have on the flow. The solutions of all examples considered are, with on exception, given in analytical form.
The last appendix to the the thesis shows the connection between Stewartson's (1957) approach to the problem of finding uniformly valid approximate solutions to the boundary layer equations and Lighthill's (1948) method. This connection is shown by working out one of the problems considered by Stewartson, namely, the wake past a flat plate, using Lighthill's method.
Item Type:  Thesis (PhD) 

Qualification Level:  Doctoral 
Subjects:  Q Science > QA Mathematics T Technology > T Technology (General) 
Colleges/Schools:  College of Science and Engineering > School of Mathematics and Statistics 
Supervisor's Name:  Pack, Professor D.C. 
Date of Award:  1959 
Depositing User:  Ms Mary Anne Meyering 
Unique ID:  glathesis:19595045 
Copyright:  Copyright of this thesis is held by the author. 
Date Deposited:  21 Mar 2014 12:20 
Last Modified:  24 Mar 2014 10:52 
URI:  http://theses.gla.ac.uk/id/eprint/5045 
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