Natural convection boundary-layer flow on an evenly heated vertical plate with time-varying heating flux in a stratified Pr < 1 fluid

Lin, Wenxian, and Armfield, Steven W. (2019) Natural convection boundary-layer flow on an evenly heated vertical plate with time-varying heating flux in a stratified Pr < 1 fluid. Numerical Heat Transfer, Part A: Applications, 76 (6). pp. 393-419.

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Abstract

The transient natural convection boundary-layer flow adjacent to a vertical plate heated with a time-dependent heat flux in an initially linearly stratified ambient fluid with Prandtl number (Pr) smaller than one was studied. Scaling analysis was used to obtain the scaling relations for the main parameters characterizing the flow behavior in terms of Pr, s, and fn at the four development stages, i.e., the startup, transitional, steady, and the decay stage, where s is the dimensionless temperature stratification parameter which represents the relative extent of the background stratification with respect to the temperature gradient across the plate and fn is the dimensionless natural frequency of the time-dependent heat flux applied to the plate. These parameters include the plate temperature, maximum vertical velocity, thermal and viscous boundary-layer thicknesses, and the corresponding time scales. The direct numerical simulation results over 0.1 <= s <= 100; 0.01 <= Pr <= 0.2 and 0:001 <= fn <= 0.025 show that these scaling relations provide a good representation of the flow behavior.

Item ID: 62413
Item Type: Article (Research - C1)
ISSN: 1521-0634
Copyright Information: Copyright 2019 Taylor & Francis Group
Funders: National Natural Science Foundation of China (NNSFC), Australian Research Council (ARC)
Projects and Grants: NNSFC No. 51469035
Date Deposited: 05 Mar 2020 04:56
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091505 Heat and Mass Transfer Operations @ 50%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics @ 50%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 100%
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