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Research Papers: Forced Convection

# Direct Numerical Simulation and RANS Comparison of Turbulent Convective Heat Transfer in a Staggered Ribbed Channel With High Blockage

[+] Author and Article Information
Luca Marocco

Department of Energy,
Politecnico di Milano,
Milan 20156, Italy
e-mail: luca.marocco@polimi.it

Andrea Franco

Department of Energy,
Politecnico di Milano,
Milan 20156, Italy

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 1, 2016; final manuscript received August 26, 2016; published online October 11, 2016. Assoc. Editor: Jim A. Liburdy.

J. Heat Transfer 139(2), 021701 (Oct 11, 2016) (7 pages) Paper No: HT-16-1240; doi: 10.1115/1.4034774 History: Received May 01, 2016; Revised August 26, 2016

## Abstract

A turbulent convective flow of an incompressible fluid inside a staggered ribbed channel with high blockage at ReH ≈ 4200 is simulated with direct numerical simulation (DNS) and Reynolds-averaged Navier–Stokes (RANS) techniques. The DNS results provide the reference solution for comparison of the RANS turbulence models. The k–ε realizable, k–ω SST, and $v2¯–f$ model are accurately analyzed for their strengths and weaknesses in predicting the flow and temperature field for this geometry. These three models have been extensively used in literature to simulate this configuration and boundary conditions but with discordant conclusions upon their performance. The $v2¯–f$ model performs much better than the k–ε realizable while the k–ω SST model results to be inadequate.

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## Figures

Fig. 1

Computational domain in the x–y plane

Fig. 2

Streamlines comparison between RANS and DNS

Fig. 3

Comparison of streamwise velocity profiles: DNS (——), k–ε realizable (- - - -), k–ω SST (– - - – - -), and v2¯-f (·········)

Fig. 4

(a) Comparison of turbulent kinetic energy and (b) comparison of Reynolds shear stress: DNS (——), k–ε realizable (- - - -), and v2¯-f (·········)

Fig. 5

Comparison of the turbulent momentum diffusivity: DNS (◯), k–ε realizable (- - - -), and v2¯-f (·········)

Fig. 6

Comparison of the temperature field: DNS (——), k–ε realizable (- - - -), k–ω SST (– - - – - -), and v2¯-f (·········)

Fig. 7

Comparison of the normal turbulent heat transfer: DNS (——), k–ε realizable (- - - -), and v2¯-f (·········)

Fig. 8

Wall temperature and Nu number ratio along the bottom wall: (a) Tw/Tb,in and (b) NuH/NuH,0; ◯ DNS, △ k-ε realizable,▽ k-ω SST, and×v2¯-f

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