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Numerical study on film cooling effectiveness from shaped and crescent holes

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Abstract

This paper presents a comparative numerical investigation on film cooling from a row of holes injected at 35° on a flat plate with three film cooling configurations, including cylindrical hole, 15° forward diffused shaped hole, and new crescent hole. All simulations are conducted at blowing ratio of 0.6 and 1.25, length-to-diameter ratio of four and pitch-to-diameter ratio of three. Computational solutions of the steady, Reynolds averaged Navier–Stokes equations are obtained using a finite volume method. Previous successful application of a two-layer turbulence model to cylindrical hole is extended to predict film cooling for the different hole geometries. It has been found that the film cooling effectiveness of cylindrical holes obviously declined along with increasing the blowing ratio. While the forward diffused shaped hole presents a marked improvement, with a higher effectiveness at the lateral area between adjacent holes. By comparison, the crescent hole exhibits the highest film cooling effectiveness among the three configurations both in spanwise and streamwise especially downstream of the intersection of the two holes. Also, the crescent hole can restrain the vortex intensity, and then enhance the film cooling effectiveness.

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Abbreviations

D :

Diameter of film hole

k :

Turbulent kinetic energy

L/D :

Length-to-diameter ratio of film hole

M :

Blowing ratio; M = ρ c U c /ρ ∞ U ∞

P/D :

Pitch-to-diameter ratio of film hole

Re :

Reynolds number

T :

Local fluid temperature

Tu:

Turbulence intensity

u * :

Friction velocity; \( u_{ * } = \sqrt {{{\tau_{w} } \mathord{\left/ {\vphantom {{\tau_{w} } \rho }} \right. \kern-\nulldelimiterspace} \rho }} \)

X :

Coordinate in the streamwise direction

Y :

Coordinate normal to the test surface

Z :

Coordinate in the lateral direction

y + :

The normalized distance; y + = yu */v

η :

Adiabatic film effectiveness; η = (T − T ∞)/(T c  − T ∞)

ε :

Dissipation rate of turbulence kinetic energy

ρ :

Density of the fluid

τ w :

Wall shear stress

c:

Coolant

w:

Wall

∞:

Free stream

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Acknowledgments

The work was supported by the Ph.D. foundation of Qingdao University of Science and Technology (No. 0022442).

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Authors and Affiliations

  1. College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao, 266061, People’s Republic of China

    Ping Dai

  2. College of Power and Energy Engineering, Harbin University of Engineering, Harbin, 150001, People’s Republic of China

    Ping Dai

  3. Department of Gas Turbine, China Shipbuilding Industry Corporation 7th Institute, Harbin, 150036, People’s Republic of China

    Feng Lin

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Correspondence to Ping Dai.

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Dai, P., Lin, F. Numerical study on film cooling effectiveness from shaped and crescent holes. Heat Mass Transfer 47, 147–154 (2011). https://doi.org/10.1007/s00231-010-0692-5

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