𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the similarity solutions for free convection on a vertical plate

✍ Scribed by J. H. Merkin

Publisher
Springer
Year
1985
Tongue
English
Weight
473 KB
Volume
19
Category
Article
ISSN
0022-0833

No coin nor oath required. For personal study only.

✦ Synopsis

The similarity solutions for free convection on a vertical plate when the (non-dimensional) plate temperature is x x and when the (non-dimensional) surface heat flux is -x ~ are considered. Solutions valid for ~ >> 1 and # >> 1 are obtained. Further, for the first problem it is shown that there is a value h0, dependent on the Prandtl number, such that solutions of the similarity equations are possible only for A > ~0, and for the second problem that solutions are possible only for /~ >-1 (for all Prandtl numbers). In both cases the solutions becomes singular as h ---, 2~0 and as/~ ---, -1, and the natures of these singularities are discussed.

πŸ“œ SIMILAR VOLUMES

Similarity solutions for free convection
Similarity solutions for free convection to power-law fluids from a heated vertical plate
✍ M.C. Ece; E. BΓΌyΓΌk πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 342 KB

laminar free-convection boundary-layer flow of a power-law fluid over a vertical heated plate under mixed thermal boundary conditions is investigated. A transformation relating the similarity solutions of the boundary-layer velocity and temperature profiles is obtained.