Assessment of Turbulence Models over a Curved Hill Flow with Passive Scalar Transport

David Paeres, Christian Lagares and Guillermo Araya ()
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David Paeres: HPC and Visualization Lab, Department of Mechanical Engineering, University of Puerto Rico, Mayaguez, PR 00681, USA
Christian Lagares: HPC and Visualization Lab, Department of Mechanical Engineering, University of Puerto Rico, Mayaguez, PR 00681, USA
Guillermo Araya: HPC and Visualization Lab, Department of Mechanical Engineering, University of Puerto Rico, Mayaguez, PR 00681, USA

Energies, 2022, vol. 15, issue 16, 1-32

Abstract: An incoming canonical spatially developing turbulent boundary layer (SDTBL) over a 2-D curved hill is numerically investigated via the Reynolds-averaged Navier–Stokes (RANS) equations plus two eddy-viscosity models: the K − ω SST (henceforth SST) and the Spalart–Allmaras (henceforth SA) turbulence models. A spatially evolving thermal boundary layer has also been included, assuming temperature as a passive scalar ( P r = 0.71) and a turbulent Prandtl number, P r t , of 0.90 for wall-normal turbulent heat flux modeling. The complex flow with a combined strong adverse/favorable streamline curvature-driven pressure gradient caused by concave/convex surface curvatures has been replicated from wind-tunnel experiments from the literature, and the measured velocity and pressure fields have been used for validation purposes (the thermal field was not experimentally measured). Furthermore, direct numerical simulation (DNS) databases from the literature were also employed for the incoming turbulent flow assessment. Concerning first-order statistics, the SA model demonstrated a better agreement with experiments where the turbulent boundary layer remained attached, for instance, in C p , C f , and U s predictions. Conversely, the SST model has shown a slightly better match with experiments over the flow separation zone (in terms of C p and C f ) and in U s profiles just upstream of the bubble. The Reynolds analogy, based on the S t / ( C f / 2 ) ratio, holds in zero-pressure gradient (ZPG) zones; however, it is significantly deteriorated by the presence of streamline curvature-driven pressure gradient, particularly due to concave wall curvature or adverse-pressure gradient (APG). In terms of second-order statistics, the SST model has better captured the positively correlated characteristics of u ′ and v ′ or positive Reynolds shear stresses ( < u ′ v ′ > > 0) inside the recirculating zone. Very strong APG induced outer secondary peaks in < u ′ v ′ > and turbulence production as well as an evident negative slope on the constant shear layer.

Keywords: RANS; passive scalar; surface curvature; concave; convex; turbulence (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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