University of Tasmania
Browse

File(s) under permanent embargo

Impulsively Generated Convection in a Semi‐Infinite Fluid Layer above a Heated Flat Plate

journal contribution
posted on 2023-05-18, 17:35 authored by Andrew BassomAndrew Bassom, Blennerhassett, PJ
The stability properties of two impulsively generated, time‐dependent temperature profiles in an initially quiescent, isothermal Boussinesq fluid are examined using a combination of analytic and numerical techniques. Quasi‐steady approximations are used to generate linear stability theory neutral curves whose large‐time forms can be explained by rational asymptotic methods. For the temperature profile generated by a step change in the plate temperature only linear theory results are presented, while an asymptotic solution for strongly nonlinear roll‐cell convection is given for the case of an impulsively applied heat flux at the plate. The main prediction of this strongly nonlinear solution is that the mean plate temperature remains proportional to the square root of time, even in the presence of the strong convective motion. The implications of this result for experimental investigations into the initiation of convection above an impulsively heated plate are discussed.

History

Publication title

The Quarterly Journal of Mechanics & Applied Mathematics

Volume

55

Issue

4

Pagination

573-595

ISSN

0033-5614

Department/School

School of Natural Sciences

Publisher

Oxford University Press

Place of publication

Oxford

Rights statement

?Copyright Oxford University Press 2002

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

Usage metrics

    University Of Tasmania

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC