Numerical Analysis of Heat Transfer and Flow Stability in an Open Rotating Cavity Using the Maximum Entropy Production Principle

D. Bohn; R. Krewinkel; A. Wolff

doi:10.1115/1.4007613

Journal of Turbomachinery | Volume 135 | Issue 4 | research-article

< Previous Article Next Article >

Research Papers

Numerical Analysis of Heat Transfer and Flow Stability in an Open Rotating Cavity Using the Maximum Entropy Production Principle

D. Bohn, R. Krewinkel and A. Wolff

[+] Author and Article Information

A. Wolff

Institute of Power Plant Technology,
Steam and Gas Turbines,
RWTH Aachen University,
Templergraben 55,
D-52056 Aachen, Germany
e-mail: office@ikdg.rwth-aachen.de

¹Full professor, retired.

²Present address: BorgWarner Turbo Systems Engineering GmbH, Marnheimerstrasse 85/87, 67292 Kirchheimbolanden, Germany.

³Present address: RWE Power AG, Opernplatz 1, 45128 Essen, Germany.

Contributed by International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received August 15, 2012; final manuscript received August 29, 2012; published online June 5, 2013. Assoc. Editor: David Wisler.

J. Turbomach 135(4), 041023 (Jun 05, 2013) (7 pages) Paper No: TURBO-12-1173; doi: 10.1115/1.4007613 History: Received August 15, 2012; Revised August 29, 2012

Article

References

Figures

Tables

Abstract

The flow field and heat transfer in the internal cooling system of gas turbines can be modeled using rotating-disk systems with axial throughflow. Because of the complexity of these flows, in which buoyancy-induced phenomena are of the utmost importance, numerical studies are notoriously difficult to perform and need extensive experimental validation. J.M. Owen proposed using the maximum entropy production (MEP) principle as a possible means of simplifying numerical computations for these complex flows since this would enable us to use stationary numerical calculations to predict the flow field. Simply said, this theory is based on the heat flux out of the cavity. In this numerical study, the computed Nusselt numbers on the disk walls inside an open rotating cavity with a Rayleigh number of approximately 4.97 × 10⁸. This is representative of the lower values encountered in the flow inside rotating cavities. It is shown that, as predicted by Owen, the flow is stable when the heat transfer out of the cavity is maximized, or, conversely, the system is unstable when the heat transfer is minimized. Furthermore, it is proven that the level of the Nusselt number plays an important role for the change between the number of vortex pairs in the flow as well.

FIGURES IN THIS ARTICLE

Purchase this Content

$25.00

Purchase

Learn about subscription and purchase options

Your Session has timed out. Please sign back in to continue.

References

Figures

Fig. 1

Modular rotating cavity rig

View Large | Save Figure | Download Slide (.ppt)

Fig. 2

Sketch of core component assembly

View Large | Save Figure | Download Slide (.ppt)

Fig. 3

Solution domain

View Large | Save Figure | Download Slide (.ppt)

Fig. 4

Calculation of the Nusselt number

View Large | Save Figure | Download Slide (.ppt)

Fig. 5

Variation of local Nusselt number over radius for the upstream disk

View Large | Save Figure | Download Slide (.ppt)

Fig. 6

Variation of local Nusselt number over radius for the downstream disk

View Large | Save Figure | Download Slide (.ppt)

Fig. 7

Variation of local Nusselt number over radius

View Large | Save Figure | Download Slide (.ppt)

Fig. 8

Nusselt number on the downstream disk

View Large | Save Figure | Download Slide (.ppt)

Fig. 9

Nusselt number on the upstream disk

View Large | Save Figure | Download Slide (.ppt)

Fig. 10

Total average Nusselt number on the disks

View Large | Save Figure | Download Slide (.ppt)

Tables

Errata

Discussions

Web of Science® Times Cited: 0

Some tools below are only available to our subscribers or users with an online account.

PDF
Email

You must be logged in as an individual user to share content.

Return to: Numerical Analysis of Heat Transfer and Flow Stability in an Open Rotating Cavity Using the Maximum Entropy Production Principle

Copyright in the material you requested is held by the American Society of Mechanical Engineers (unless otherwise noted). This email ability is provided as a courtesy, and by using it you agree that you are requesting the material solely for personal, non-commercial use, and that it is subject to the American Society of Mechanical Engineers' Terms of Use. The information provided in order to email this topic will not be used to send unsolicited email, nor will it be furnished to third parties. Please refer to the American Society of Mechanical Engineers' Privacy Policy for further information.
Share
Get Citation

Bohn DD, Krewinkel RR, Wolff AA. Numerical Analysis of Heat Transfer and Flow Stability in an Open Rotating Cavity Using the Maximum Entropy Production Principle. ASME. J. Turbomach. 2013;135(4):041023-041023-7. doi:10.1115/1.4007613.

Download citation file:

RIS (Zotero)

EndNote

BibTex

Medlars

ProCite

RefWorks

Reference Manager

© Copyright
Get Alerts

Processing your request... Please Wait.

Numerical Analysis of Heat Transfer and Flow Stability in an Open Rotating Cavity Using the Maximum Entropy Production Principle

Abstract

FIGURES IN THIS ARTICLE

References

Figures

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks