- Author
-
Torrance, K. E.
|
Orloff, L.
|
Rockett, J. A.
- Title
- Numerical Study of Natural Convection in an Enclosure With Localized Heating From Below - Creeping Flow to the Onset of Laminar Instability.
- Coporate
- National Bureau of Standards, Washington, DC
- Journal
-
Journal of Fluid Mechanics,
Vol. 36,
No. 1,
33-54,
1969
- Keywords
-
natural convection
|
enclosures
|
heating
|
equations
|
temperature field
|
heat transfer
|
velocity distribution
- Abstract
- An anlytical study was made of the natural convection induced in an enclosure by a small hot spot centrally locatedon the floor. The enclosure was a circular cylinder, vertically oriented, with height equal to radius. A Prandtl number of 0-7 (air) was assumed; the Grashof number (Gr) was based on cylinder height and hot spot temperature. The equations of fluid flow in axisymmetric cylinder co-ordinates were simplified with the Boussinesq approximation. the equations were solved numerically with a computationally stable, explicit method. The computation, starting from quiescent conditions, proceeded through the initial transient to the fully devloped flow.