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OpenFOAM based LES of slot jet impingement heat transfer at low nozzle to plate spacing using four SGS models

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Abstract

The objective of the present investigation is to assess the effectiveness of large eddy simulation (LES) in turbulent slot jet impingement heat transfer at low nozzle to plate spacing. Four different sub-grid stress (SGS) models, namely, Smagorinsky, WALE (wall adapting local eddy-viscosity), k-equation and dynamic k-equation, were considered for Reynolds number of 20,000. Computations were performed using OpenFOAM, an open source finite-volume based CFD code. Time and span-wise averaged mean streamwise velocity and root mean square (r.m.s.) velocity fluctuations in the stagnation and wall jet regions are presented. Nusselt number distributions on the impingement wall are also presented. The computed LES results are compared with the reported experimental data. A secondary peak in the Nusselt number was observed using the four SGS models as in the experimental data. LES of slot jet impingement heat transfer using four SGS models, including WALE, has been investigated for the first time in the present paper. It is observed that the WALE and dynamic k-equation SGS models perform well in complex flow regions of turbulent slot jet impingement heat transfer.

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Abbreviations

B :

Slot width

e :

Internal energy

h :

Heat transfer coefficient (W/m2-K)

H :

Height between nozzle to plate

H/B :

Normalized nozzle to plate spacing

Re :

Reynolds number (ρUB/μ)

k :

Turbulence kinetic energy

k a :

Thermal conductivity (W/m-K)

k SGS :

Sub-grid scale turbulence kinetic energy

Nu :

Nusselt number (hB/k)

P :

Mean pressure

Pr :

Prandtl number

\( {q}_{t_k} \) :

Turbulent heat flux

S :

STRAIN rate tensor

T :

Sub-grid stress tensor

T :

Mean temperature

t * :

Non dimensional time unit

U :

Mean velocity

u’ :

r.m.s. streamwise velocity fluctuation

V o :

Velocity at jet inlet

x,y,z :

Coordinate directions

Ω :

Vorticity magnitude

ε SGS :

Sub-grid scale dissipation

ν SGS :

Sub-grid scale kinematic viscosity

∆ :

Grid size

μ :

Dynamic viscosity (kg/s-m)

i, j, k :

Index notation

0 :

Quantities at the inlet

SGS :

Sub-grid scale

eff :

Effective

t :

Turbulent

a :

Air

st :

Stagnation

+ :

Normalized quantity in wall coordinates

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Acknowledgements

The authors acknowledge the HPC facility of Indian Institute of Technology Delhi for computational resources.

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  1. Department of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    Anuj Kumar Shukla & Anupam Dewan

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  1. Anuj Kumar Shukla
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Shukla, A.K., Dewan, A. OpenFOAM based LES of slot jet impingement heat transfer at low nozzle to plate spacing using four SGS models. Heat Mass Transfer 55, 911–931 (2019). https://doi.org/10.1007/s00231-018-2470-8

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