Thermal Convection in a Cylindrical Enclosure withWavy Sidewall - Selected Topics of Computational and Experimental Fluid Mechanics - page 388

Fig. 6 Average Nusselt
number for the enclosure
heated from below , ʛ = 1 / 5

and ʵ = 0 . 3

Fig. 7 Isotherms and stream
function for the enclosure
heated from below ,
Ra 10 5 , = ʛ = 1 / 5and

ʓ = 0 . 1. a ʵ = 0 . 1and

10 − 6 . b ʔˈ = 4 × ʵ = 0 . 5

10 − 2 and ʔˈ = 3 . 3 ×

Fig. 8 Average Nusselt
number for the enclosure
heated from below and
different values of ʵ . For this

case ʛ = 1 / 5and ʓ = 0 . 1

to the wavy wall is negligible. The increment of the stream function values in

Fig. 7 b shows a very low velocity for the multiple convection cells pattern. This last
observation is also verified in Fig. 8 , where the Nusselt number remains constant for
10 3

ʔˈ

10 6 and ≤ Ra ≤ ʵ = 0 . 1, revealing the diffusion transport dominates the heat

transfer process. As augments the heat transport increases considerable even for

Rayleigh numbers of order 10 3 . However, such a notable effect diminishes for large
Rayleigh numbers, i.e. when convection dominates heat transfer.

ʵ