Generalized laminar heat transfer from the surface of a rotating disk
Abstract
The energy equation for the laminar incompressible flow induced by a large spinning disk is solved numerically for the threedimensional temperature field generated by a diametrical, sectorshaped heat source located at the disk surface which is otherwise adiabatic. The heating is assumed to be sufficiently mild so as not to disturb the velocity field. Consequently, natural convection effects, as well as viscous dissipation heating, are neglected. The simple overrelaxation technique may be applied to obtain solutions for any specified radial and/or tangential distributions of surface temperature or heat flux. Results obtained for various Prandtl numbers and source angles indicate the existence of a conduction dominated region at low Reynolds numbers and a convection dominated region at high Reynolds numbers. Correlation between the local surface heat flux and the tangential wall shear stress is also given.
 Publication:

International Journal of Heat and Mass Transfer
 Pub Date:
 November 1982
 DOI:
 10.1016/00179310(82)901442
 Bibcode:
 1982IJHMT..25.1651T
 Keywords:

 Heat Transfer Coefficients;
 Laminar Heat Transfer;
 Rotating Disks;
 Surface Temperature;
 Heat Sources;
 Incompressible Flow;
 Relaxation Method (Mathematics);
 Shear Stress;
 Temperature Profiles;
 Turbomachinery;
 Wall Flow;
 Fluid Mechanics and Heat Transfer