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PREDICTIONS OF FLOW AND HEAT TRANSFER IN MULTIPLE-IMPINGING JETS WITH AN ELLIPTIC-BLENDING SECOND-MOMENT CLOSURE

Luuk Thielen
Thermal and Fluid Sciences Section, Delft University of Technology, Applied Physics, Lorentzweg 1, 2628 CJ, Delft, The Netherlands

Kemal Hanjalic
Department of Physics, Novosibirsk State University (NSU), 1, Pirogov Str., Novosibirsk, 630090, Russia; Faculty of Applied Sciences, Delft University of Technology (TU Delft), Building 58, Van der Maasweg 9, 2629 HZ, Delft, The Netherlands

Harm J.J. Jonker
Department Geoscience and Remote Sensing, Dept. of Multi-scale Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands, Delft University Stevinweg 1, 2628 CN Delft, The Netherlands

Remi Manceau
Institute Pprime, Dept. Fluid flow, heat transfer and combustion, CNRS-Univ. of Poitiers-ENSMA, France; Lab. de mathematiques et de leurs applications (LMA) CNRS-Universite de Pau et des pays de I'Adour IPRA, avenue de I'universite 64013 Pau, France; Inria Bordeaux-Sud-Ouest, project-team CAGIRE

Abstract

We present numerical computations of flow and heat transfer in multiple jets impinging normally on a flat heated surface, obtained with a new second-moment turbulence closure combined with an elliptic blending model of non-viscous wall blocking effect. This model provides the mean velocity and turbulent stress fields in very good agreement with PIV measurements. The exploration of several simpler closures for the passive thermal field, conducted in parallel, confirmed that the major prerequisite for the accurate prediction of the temperature field and heat transfer is to compute accurately the velocity and stress fields. If this is achieved, the conventional anisotropic eddy-diffusivity model can suffice even in complex flows. We demonstrate this in multiple-impinging jets where such a model combination provided the distribution of Nusselt number over the solid plate in good agreement with experiments. Extension of the elliptic blending concept to full second-moment treatment of the heat flux and its truncation to a quasi-linear algebraic model is also briefly discussed.

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