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Effect of Shear on Boundary Layer Velocity Field in Rayleigh-Bénard Convection

Published in
2019
Abstract

We present the distribution of horizontal velocities within
the boundary layer in a horizontal plane close to the hot
plate in turbulent Rayleigh Bénard Convection for the
range of Rayleigh numbers 105 < Ra < 109 and Prandtl
numbers 4.69 < Pr < 5.88. (i) At each Ra, at each instant
the velocity distribution is either a unimodal one with a
peak at around the natural convection boundary layer
velocities Vbl, (ii) a bimodal one with the first peak between
Vbl and Vsh, the large scale flow velocities or (iii) a
unimodal one with the peak larger than Vsh. The first type
occurs more at lower Ra and the last type more at higher
Ra. We show that the peak of the first type of PDF and the
first peak of the bimodal one scale with Ra in the same way
as the natural convection boundary layer velocities forced
by Vsh. The peak of the last type of PDF and the second
peak of the bimodal one scale as Vsh with Ra.
Keywords: Rayleigh-Bénard Convection; Shear effect;
Boundary layer velocity; PIV; Perturbation solutions.

About the journal
JournalProceedings of the 7th International and 45th National Conference on Fluid Mechanics and Fluid Power (FMFP) December 10-12, 2018, IIT Bombay, Mumbai, India
Open AccessNo