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Influence of turbulence model parameter settings on conjugate heat transfer simulation

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Abstract

Rationality of the parameter settings in turbulence model is an important factor affecting the accuracy of conjugate heat transfer (CHT) prediction. On the basis of a developed CHT methodology and the experimental data of Mark// cooling turbine blade, influences of the turbulence model parameter settings and the selection of turbulence models on CHT simulation are investigated. Results and comparisons with experimental data indicate that the inlet setting of the \(\tilde{v}\) in Spalart–Allmaras model has nearly no influence on flow and heat transfer in blade surface. The inlet turbulence length scale l T in the low-Reynolds number Chien k-ε turbulence model and the blade surface roughness in shear stress transport (SST) k-ω SST model have relatively obvious effects on the blade surface temperature which increases with the increase of them. Both of the laminar Prandtl number and turbulent Prandtl number have slight influences on the prediction, and they only need to be constant in CHT simulation. The k-ω SST model has the best accuracy in the turbine blade CHT simulation compared with the other two models.

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Abbreviations

C f :

Friction coefficient

C v :

Defined as C v  = μ T,inf /μ L,inf

d 1 :

Represents the distance from first mesh layer to the wall

k :

Turbulent kinetic energy

l T :

Turbulence length scale

Lt :

Turbulence length scale

L :

Axial chord length of airfoil

mut/mul :

Ratio of turbulent and laminar viscosity coefficient

Nr :

Represents the roughness coefficient

PS :

Static pressure at blade surface

PT :

Mainstream inlet total pressure

Pr T :

Turbulent Prandtl number

Pr L :

Laminar Prandtl number

P.S.:

Pressure surface

S.S. :

Suction surface

T u :

Turbulence intensity

Tw :

Temperature at blade surface

tke :

Turbulent kinetic energy

U abs :

Absolute velocity

X :

Cartesian coordinates

y + :

Dimensionless distance from wall

\(\tilde{v}\) :

Working available in S–A model and obeys the transport equation

μ T,inf :

Turbulent viscosity coefficient of inlet flow

μ L,inf :

Laminar viscosity coefficient of inlet flow

μ L :

Laminar viscosity coefficient

μ T :

Turbulent viscosity coefficient

ω :

Specific turbulent dissipation rate

ρ :

Density

β 1 :

Coefficient in Eq. (1)

γ :

Intermittency factor

abs:

Absolute

inf:

Inlet flow

L:

Laminar

r:

Roughness

T or t:

Turbulent

w:

Wall

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Acknowledgments

The work is financially supported by National Nature Science Foundation of China under Grant Numbers 91130013 and Innovation Foundation of BUAA for PhD Graduates (YWF-13-A01-15).

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Authors and Affiliations

  1. National Key Laboratory of Science and Technology on Aero-Engine Aero-Thermodynamics, School of Propulsion, Beihang University, Beijing, 100191, People’s Republic of China

    Peng Wang, Yu Li & Zhengping Zou

  2. Science and Technology on Space Physics Laboratory, Beijing Institute of Nearspace Vehicle’s Systems Engineering, Beijing, 100076, People’s Republic of China

    Yu Li

  3. Shengyang Aeroengine Research Institute, Shengyang, 110015, People’s Republic of China

    Lei Wang

  4. College of Science, National University of Defense Technology, Changsha, 410073, People’s Republic of China

    Songhe Song

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  1. Peng Wang
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  2. Yu Li
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  4. Lei Wang
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  5. Songhe Song
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Correspondence to Zhengping Zou.

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Wang, P., Li, Y., Zou, Z. et al. Influence of turbulence model parameter settings on conjugate heat transfer simulation. Heat Mass Transfer 50, 521–532 (2014). https://doi.org/10.1007/s00231-013-1253-5

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