Scaling analysis and direct simulation of unsteady natural convection cooling of fluid with Pr < 1 in a vertical cylinder

The unsteady natural convection cooling of fluid with Pr < 1 in a vertical cylinder with an imposed lower temperature on vertical sidewalls is dominated by three distinct stages of development, i.e. the boundary-layer development stage adjacent to the sidewall, the stratification stage, and the cooling-down stage, respectively. Various scaling laws to describe the unsteady flow behavior at these respective stages are developed with scaling analysis and are verified and quantified by direct numerical simulation with selected values of the aspect ratio of the cylinder A, the Rayleigh number Ra, and the Prandtl number Pr in the ranges of 1=3 A 3, 106 Ra 1010, and 0:01 Pr 0:5.

N/A

Fifteenth Australasian Fluid Mechanics Conference 2004

N/A

978-1-86487-695-6

N/A

N/A

4