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International Heat Transfer Conference 15

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

Internal Symmetries, Fundamental Invariants, and Convective Heat Transfer from a Rotating Disk

Christian Helcig
Faculty of Mechanical Engineering, Muenster University of Applied Sciences, Stegerwaldstrasse 39, 48565 Steinfurt, Germany

Stefan aus der Wiesche
Faculty of Mechanical Engineering, Muenster University of Applied Sciences, Stegerwaldstrasse 39, 48565 Steinfurt, Germany

Igor V. Shevchuk
TH Köln - University of Applied Sciences

DOI: 10.1615/IHTC15.tdy.008483
pages 7963-7977


KEY WORDS: Convection, Thermodynamics, rotating disk, angle of incidence, Landau model

Abstract

The convective heat transfer from a rotating disc subjected to an outer stream of air depends at least on three characteristic parameters, namely crossflow, rotational Reynolds numbers and angle of incidence. These three parameters determine the several flow and heat transfer regimes. The special case of a disc placed perpendicular to the crossflow can be described mathematically in terms of a similarity solution using a combined single Reynolds number, but more general configurations can only be described by using complex three-dimensional flow patterns with flow separation. A detailed experimental study of the convective heat transfer from an electrically heated rotating disc in a wind tunnel was conducted for a large range of crossflow and rotational Reynolds numbers and angle of incidence. We found that the flow and heat transfer regimes were governed by a reduced number of characteristic parameters for specific ranges of Reynolds numbers and angle of incidence. The results also demonstrated the existence of non-continuous transitions between different flow regimes for specific values of the angle of incidence. This unexpected behavior is explained within the framework of symmetry and fundamental invariants. Based on the experimental data and theoretical considerations, Landau and Landau-de Gennes models show great potential for formulating suitable convective heat transfer correlations for rotating discs subjected to crossflows.

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