Prediction of transient temperatures for an aircooled rotating disc
Abstract
The numerical solution of Fourier's conduction equation is used to compute the transient temperature distribution in a rotating disc. The convective boundary conditions for the disc surfaces are based on simple formulae obtained from the solutions of the boundarylayer equations, and the computed surface temperatures are compared with measurements made on a rotatingdisc rig. Freedisc tests, at rotational Reynolds numbers up to Re sub phi = 2.5 x 10(6), are used to provide a datum from which to judge the numerical method. Although the numerical solution tends to overestimate the cooling rate of the heated free disc at high Reynolds numbers, the agreement between computed and measured temperatures is considered reasonable. Rotatingcavity tests, in which a heated disc is cooled by a radial outflow of air, are used to examine the suitability of the simple convective boundary conditions. As the computed temperatures show reasonable agreement with the measured values, it is suggested that the proposed formulae for convection in a rotating cavity might be useful for design purposes.
 Publication:

In AGARD Heat Transfer and Cooling in Gas Turbines 14 p (SEE N8629823 2107
 Pub Date:
 September 1985
 Bibcode:
 1985htcg.agarR....L
 Keywords:

 Air Cooling;
 Conductive Heat Transfer;
 Gas Turbines;
 Rotating Disks;
 Surface Temperature;
 Temperature Distribution;
 Boundary Conditions;
 Boundary Layer Equations;
 Ekman Layer;
 Mathematical Models;
 Nusselt Number;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer