Published August 28, 1974
| Published
Journal Article
Open
Natural convection in a shallow cavity with differentially heated end walls. Part 2. Numerical solutions
- Creators
- Cormack, D. E.
-
Leal, L. G.
-
Seinfeld, J. H.
Abstract
Numerical solutions of the full Navier-Stokes equations are obtained for the problem of natural convection in closed cavities of small aspect ratio with differentially heated end walls. These solutions cover the parameter range Pr = 6.983, 10 ≤ Gr ≤ 2 x 10⁴ and 0.05 ≤ A ≤ 1. A comparison with the asymptotic theory of part 1 shows excellent agreement between the analytical and numerical solutions provided that A ≾ 0.1 and Gr²A³Pr² ≾ l0⁵. In addition, the numerical solutions demonstrate the transition between the shallow-cavity limit of part 1 and the boundary-layer limit; A fixed, Gr → ∞.
Additional Information
© 1974 Cambridge University Press. Received 23 March 1973; in revised form 15 February 1974; published Online March 29 2006. This work was supported, in part, by National Science Foundation Grant GK-35476.Attached Files
Published - CORjfm74b.pdf
Files
CORjfm74b.pdf
Files
(1.3 MB)
| Name | Size | Download all |
|---|---|---|
|
md5:578b2e3b88c439b7211dbbb0a9c8b696
|
1.3 MB | Preview Download |
Additional details
- Eprint ID
- 32884
- Resolver ID
- CaltechAUTHORS:20120802-124203574
- NSF
- GK-35476
- Created
-
2012-08-02Created from EPrint's datestamp field
- Updated
-
2023-04-13Created from EPrint's last_modified field