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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 77, 2020 - Issue 6
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Original Articles

Prandtl number scalings for unsteady natural convection boundary-layer flow on an evenly heated vertical plate in a homogeneous Pr > 1 fluid

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Pages 619-631 | Received 11 Sep 2019, Accepted 27 Dec 2019, Published online: 21 Jan 2020
 

Abstract

Scalings for the thicknesses of the thermal and velocity boundary layers, the plate temperature, and the maximum vertical velocity in a homogeneous Pr > 1 fluid are validated against numerical results for unsteady natural convection boundary-layer flow on an evenly heated vertical plate. Results have been obtained for Rayleigh number 106Ra109 and Prandtl number 3Pr100, and the scaling relations are shown to provide a good description of the flow for both the initial conduction dominated, one-dimensional, unsteady phase and the fully developed convection dominated, two-dimensional, steady phase of the flow. Scaling constants have been obtained for all relations.

Additional information

Funding

The support from the Australian Research Council is gratefully acknowledged.

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