Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Convective instabilities in binary fluids

Tools
- Tools
+ Tools

Holton, David (1989) Convective instabilities in binary fluids. PhD thesis, University of Warwick.

[img]
Preview
PDF
WRAP_Theses_Holton_1989.pdf - Submitted Version - Requires a PDF viewer.

Download (2840Kb) | Preview
Official URL: http://webcat.warwick.ac.uk/record=b3170067~S15

Request Changes to record.

Abstract

The subject of two-dimensional convection in a binary fluid is treated by analytical methods and through Galerkin models. The analysis will focus on describing the dynamics of convection at onset of convection. Two independent dynamical parameters are present- one more degree of freedom than single fluid convection.

We shall derive normal forms for the tricritical bifurcation - describing the transition between a forward and backward pitchfork bifurcation of a two-dimensional array of rolls in a convecting bulk binary fluid mixture. A multiple time perturbation scheme is constructed to fifth order to describe this motion. The coefficients of the equation are determined as a function of the Lewis number (the ratio of the mass to thermal diffusivity). The degenerate Hopf bifurcation is also investigated using a similar perturbative scheme; with a prediction of the coefficients involved.

A model system, using a ’minimal representation’ (Veronis 1968) gives rise to a Galerkin truncated scheme (a set of 14 ordinary differential equations). It is claimed that the dynamical character of both the tricritical and degenerate Hopf bifurcation are included in the zoology of the bifurcation behaviour at onset of convection. These and other dynamical aspects of the equations are investigated.

In an attempt to improve upon free slip pervious boundaries a projection of the equations is made onto a more appropriate subspace. A comparison with experimental evidence is given.

Item Type: Thesis (PhD)
Subjects: Q Science > QC Physics
Library of Congress Subject Headings (LCSH): Heat -- Convection -- Mathematical models, Galerkin methods, Bifurcation theory, Stability -- Mathematical models
Official Date: 25 January 1989
Dates:
DateEvent
25 January 1989Submitted
Institution: University of Warwick
Theses Department: Department of Physics
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Rowlands, G. (George)
Sponsors: Science and Engineering Research Council (Great Britain)
Format of File: pdf
Extent: 118 leaves : illustrations, charts
Language: eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us