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Cited by 78Fluid Dynamics and Turbulent FlowsFluid dynamics and aerodynamics studiesHeat Transfer and Numerical Methods

Convection in an internally heated layer

Thirlby, R.·1970·Journal of Fluid Mechanics
DOI 10.1017/s0022112070002082
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Abstract

A numerical study has been made of steady laminar convection in an infinite horizontal layer of fluid, bounded above by a rigid plate held at constant temperature, and below by a thermal insulator. The fluid is heated by a uniform distribution of heat sources. Recent methods for the solution of the Navier-Stokes equations by finite differences are discussed, and the results of integrations in two and three space dimensions and time are presented in an attempt to determine the planform and other flow properties as functions of the Rayleigh and Prandtl numbers. These results are compared with a preliminary study by Roberts (1967) using a mean-field equation approach and with experimental observations by Tritton & Zarraga (1967) and Hooper (private communication).

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  • Laboratory and numerical experiments suggest that the pattern will consist of sinking jets of cold fluid with upwelling elsewhere, and that it will be time dependent.

    “However the laboratory experiments of Whitehead & Chen (1970), Hooper and Tritton, as well as the numerical experiments of Thirlby (1970) and those described in Paper I, all suggest that the pattern will consist of sinking jets of cold fluid with upwelling occurring elsewhere, and that it will be time dependent.”

    From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Thirlby (1970)

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Authors
Thirlby, R.
Affiliations
Newcastle University (GB)
Corresponding author
Thirlby, R.
Venue
Journal of Fluid Mechanics
Publisher
Cambridge University Press (CUP)
Published
1970-12-16
Volume
44
Issue
4
Pages
673-693
ISSN
  • 0022-1120 (ISSN-L)
  • 1469-7645
DOI
10.1017/s0022112070002082
OpenAlex
W2030144662
Cited by
78
References
20
Citations by year
2026: 2 · 2025: 2 · 2024: 2 · 2023: 4 · 2022: 5 · 2021: 2 · 2020: 3 · 2019: 1 · 2018: 2 · 2017: 1 · 2016: 3 · 2015: 4 · 2013: 3
FWCI
3.82
Type
journal article
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 12887 d)
Locations
Journal of Fluid Mechanics (publishedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
  • Physical Sciences › Engineering › Computational Mechanics › Heat Transfer and Numerical Methods
Keywords
internal heating, laminar convection, horizontal fluid layer, heat source, Rayleigh number, Prandtl number, thermal insulation, Navier-Stokes equations, finite difference method, three-dimensional flow

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