TEMPERATURE DISTRIBUTION IN GENERALIZED VON KARMAN ROTATING-DISK FLOWS
- 1 October 1980
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 3 (4) , 483-497
- https://doi.org/10.1080/01495728008961772
Abstract
The title problem is solved subject to the boundary conditions T(r,0) = σN n = 0 Tn · rn(ω/ν)IV2on the disk z = 0, and limz→∞,T = T∞ a constant. The similar velocity field leads to viscous heating proportional to r2 as well as r0. The nonsimilar temperature is found by superimposing N + 1 similar profiles Qn(z*) scaled by rn. It Is concluded that Q0(z*) exists only when the fluid at infinity corotates with the disk and at a lower rate. Specifically, (1) the temperature profile due to viscous heating of generalized von Karman disk flows is obtained, (2) the effects of Prandtl number, ambient fluid rotation, and degree of inhomogeneity N are discussed in detail, and (3) the limitations of the thermal boundary-layer approximation are delineated.Keywords
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