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A numerical study on flow and heat transfer characteristics of film cooling with a compound angle hole

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Abstract

A numerical simulation has been performed for the investigation of flow and heat transfer characteristics of a film cooling system injected through a hole with compound angle orientation. The finite volume method is employed to discretize the governing equations based on the non-orthogonal coordinate with non-staggered variable arrangement. In order to analyze flow and heat transfer characteristics, velocity, temperature, aerodynamic loss coefficient, skin friction and vorticity are calculated with the variation of the skew angle. The maximum longitudinal vorticity and aerodynamics loss depend strongly on the skew angle. For the symmetric case of β=0 deg, a pair of counter-rotating vortices are formed and the maximum value of the film cooling effectiveness has appeared in the center plane where the skin friction is the minimum. For the skew angle of β=30 deg and above, only one strong counter-clockwise vortex remains in the downstream region and the maximum value of the film cooling effectiveness are obtained on the right side of the vortex. The predicted results for the film cooling effectiveness show good agreements with previous experimental data except the near-hole region.

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Abbreviations

C fX :

Longitudinal skin friction coefficient

C fZ :

Lateral skin friction coefficient

C P, inj :

Total pressure loss coefficient measured with injection

D :

Hole diameter

D.R. :

Density ratio (=ρj/ρ∞)

k :

Turbulent kinetic energy

L :

Hole length

M :

Blowing ratio (=ρj U j/{ρ∞ U∞})

P inj :

Total pressure predicted with injection

P k :

Production of the turbulent kinetic energy

Pr, Pr t :

Laminar and turbulent Prandtl number

P ∞ :

Freestream total pressure

Re D :

Reynolds number based on the hole diameter

U in, Tin :

Inlet velocity and temperature in the plenum region

U j, Tj :

Jet exit velocity and temperature

U ∞,T ∞ :

Freestream velocity and temperature of the main flow

X :

Coordinate in streamwise direction

Y :

Coordinate in normal direction

Z :

Coordinate in spanwise direction

α:

Inclined angle

α jm :

Cartesian component of the contravariant base vectors

β:

Skew angle

δ:

Boundary layer thickness

δn :

Normal distance from a wall

ε:

Dissipation rate of the turbulent kinetic energy

η:

Film cooling effectiveness

κ:

Von-Karman constant

μ, μt :

Laminar and turbulent viscosity

ρj, ρ8 :

Density of injected and mainstream fluid

σk, σε :

Turbulent diffusion Prantdl number fork and ε

Γ:

Diffusion coefficient

Ωx :

Longitudinal vorticity

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Authors and Affiliations

  1. Graduate School, Chung-Ang University, 156-756, Seoul, Korea

    Jung Hee Lee

  2. Department of Mechanical Engineering, Chung-Ang University, 156-756, Seoul, Korea

    Young Ki Choi

Authors
  1. Jung Hee Lee
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  2. Young Ki Choi
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Lee, J.H., Choi, Y.K. A numerical study on flow and heat transfer characteristics of film cooling with a compound angle hole. KSME International Journal 12, 963–971 (1998). https://doi.org/10.1007/BF02945563

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  • DOI: https://doi.org/10.1007/BF02945563

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