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Large Eddy simulation of flat plate film cooling at high blowing ratio using open FOAM

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Abstract

In this work, numerical analysis was performed to predict the behaviour of high Reynolds number turbulent cross-flows used in film cooling applications. The geometry included one row of three discrete coolant holes inclined at 30 degrees to the main flow. In the computational model, the width of the channel was cut into one sixth and symmetry boundaries were applied in the centreline of the coolant hole and along the line of symmetry between two adjacent holes. One of the main factors that affect the performance of film cooling is the blowing ratio of coolant to the main flow. A blowing ratio equal to two was chosen in this study. Analysis showed that the common practice CFD models that employ RANS equations together with turbulence modelling under predict the film cooling effectiveness up to a factor of four. However, LES method showed better agreement of film cooling effectiveness both in tendency and absolute values compared with experimental results.

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Abbreviations

d:

diameter of film cooling hole

DR:

jet to mainstream density ratio

k:

Turbulent kinetic energy

L:

length of film cooling hole

M:

Blowing ratio M = ρ c U c /ρ ∞ U ∞

T:

Temperature

U:

velocity component in streamwise direction

U*:

Non-dimensionalized U-velocity = U/U ∞

u ′∗ :

normalized rms U-velocity fluctuations \( =\sqrt{\frac{\sum {\left({u}_{instantaneous_i}-{u}_{avg}\right)}^2}{n}} \)

V:

velocity component in spanwise direction

VR:

jet to mainstream velocity ratio

W:

velocity component in wall-normal direction

w ′∗ :

normalized rms W-velocity fluctuations \( =\sqrt{\frac{\sum {\left({w}_{instantaneous_i}-{w}_{avg}\right)}^2}{n}} \)

X:

streamwise distance from hole leading edge

Y:

spanwise distance from hole centerline

Z:

vertical distance from tunnel floor (flat plate surface)

ε:

Dissipation rate

ρ:

density (average)

η:

Adiabatic Film effectiveness η = (T ∞ − T aw )/(T ∞ − T c )

θ:

dimensionless air temperature θ = (T − T ∞)/(T c  − T ∞)

μ:

Dynamic viscosity

τ:

Shear stress

¯:

mean

‘:

fluctuating

∞ :

freestream (or mainstream)

aw :

adiabatic wall

c :

coolant

LE:

Leading Edge

TE:

Trailing Edge

References

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Authors and Affiliations

  1. Department of Mechanical Engineering, Urmia University of Technology, 2 km Band Road, Urmia, 57166 17165, Iran

    Narmin Baagherzadeh Hushmandi

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  1. Narmin Baagherzadeh Hushmandi
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Correspondence to Narmin Baagherzadeh Hushmandi.

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Baagherzadeh Hushmandi, N. Large Eddy simulation of flat plate film cooling at high blowing ratio using open FOAM. Heat Mass Transfer 54, 1603–1611 (2018). https://doi.org/10.1007/s00231-017-2225-y

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  • DOI: https://doi.org/10.1007/s00231-017-2225-y

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