Effect of heating on the stability of the three-dimensional boundary layer flow over a rotating disk

¹ Muenster University of Applied Sciences, Department of Mechanical Engineering, Stegerwaldstr 39, 48565 Steinfurt, Germany
² Technical University of Munich, Department of Aerospace Geodesy, Chair of Turbomachinery and Flight Propulsion, Bolzmannstraße 15, 85748 Garching, Germany

^* Stefan aus der Wiesche: wiesche@fh-muenster.de
^† Christian Helcig: christian.helcig@tum.de

Abstract

The effect of heating on the stability of the laminar three-dimensional boundary layer flow over a rotating disk was experimentally investigated. Local convective heat transfer coefficients were obtained at different running speeds and heating rates by means of an electrically heated disk apparatus placed in a large water tank. The accuracy of the method was assessed by comparison with predictions of the analytical self-similarity solution for laminar flow, and an excellent agreement was found. By means of local heat transfer measurements, the critical Reynolds number corresponding to the onset of vortices was determined as a function of the wall temperature difference and Prandtl number. A substantial increase of the critical Reynolds number with higher wall temperature difference was observed for the three-dimensional flow. The observed stabilizing effect due to heating of three-dimensional water flows was comparable with the predictions of perturbation analyses conducted for two-dimensional flows.