Use of fin equation to calculate nusselt numbers for rotating discs

Hui Tang, Tony Shardlow, J. Michael Owen

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding

3 Citations (SciVal)


Conduction in thin discs can be modelled using the finequation, and there are analytical solutions of this equation for a circular disc with a constant heat-transfer coefficient. However, convection (particularly free convection) in rotating-disc systems is a conju gate problem: the heat transfer in the fluid and the solid are coupled, and the relative effects of conduction and convection are related to the Biot number, Bi, which in turn is related to the Nusselt number. In principle, if the radial distribution of the disc temperature is known then Bi can be determined numerically. But the determina tion of heat flux from temperature measurements is an example of an inverse problem where small uncertainties in the temperatures can create large uncertainties in the computed heat flux. In this pa per, Bayesian statistics are applied to the inverse solution of the cir cular fin equation to produce reliable estimates of Bi for rotating discs, and numerical experiments using simulated noisy tempera ture measurements are used to demonstrate the effectiveness of the Bayesian method. Using published experimental temperature measurements, the method is also applied to the conjugate problem of buoyancy-induced flow in the cavity between corotating com pressor discs.

Original languageEnglish
Title of host publicationProceedings ASME Turbo Expo, 2015
Subtitle of host publicationTurbine Technical Conference and Exposition, Volume 5C, Heat Transfer
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages1
ISBN (Print)9780791856734
Publication statusPublished - 2015
EventASME Turbo Expo 2015: Turbine Technical Conference and Exposition, GT 2015 - Montreal, Canada
Duration: 15 Jun 201519 Jun 2015


ConferenceASME Turbo Expo 2015: Turbine Technical Conference and Exposition, GT 2015

Bibliographical note

Paper No. GT2015-NS5C


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