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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 74, 2018 - Issue 4
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Articles

On the improvement of film cooling performance using tree-shaped network holes: A comparative study

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Pages 1121-1138 | Received 17 Apr 2018, Accepted 01 Aug 2018, Published online: 17 Oct 2018
 

Abstract

For modern high-efficiency gas turbines, film cooling is an essential method to protect the turbine blade from the hot gas, and the issue about how to improve the film cooling performance has attracted much attention. This study presents a new design concept used for film cooling in gas turbine to improve the overall cooling effectiveness and better decrease the metal temperature of the blade at the same time. A tree-shaped film cooling structure is considered. To validate the superiority of the proposed structure, a series of numerical simulation cases are conducted at three typical blowing ratios (i.e. 0.5, 0.764, and 0.9). The first case is a film cooling channel with a single film hole with a diameter of 5 mm and it is inclined by α = 45° relative to the mainstream direction and the other three cases are tree-shaped structures with one level, two levels and three levels of bifurcations. Moreover, the same boundary conditions and turbulence model (realizable kε) are adopted, and three-dimensional numerical simulations are used for all cases. The computed results show that the higher the blowing ratio, the better is the overall effectiveness downstream the film holes of the tree-shaped structures, whereas the opposite is valid for the case with a single film hole. Additionally, the overall effectiveness of the tree-shaped structures is improved more than 50% compared with Case 1 with a single film hole, and the results also demonstrate that the more levels of the structure, the lower the metal temperatures will be. Therefore, it is indicated that this research will make a contribution to a higher performance gas turbine.

Nomenclature

Ah=

cross-section area of film cooling hole

Cε1, Cε2=

k–ε turbulence model constants

d =

diameter of circular film cooling hole

di=

diameter of the ith level of tree-shaped hole

L =

length of mainstream domain

M=

dimensionless blowing ratio

mh=

mass flow rate through the film hole

min,c =

mass flow rate entering the cooling channel

mout,c=

mass flow rate at outlet of the cooling channel

P =

pressure

Pabs=

standard atmospheric pressure

Pk=

production of turbulence

SM=

momentum source

SE=

energy source

Re=

Reynolds number

T =

temperature

Tcw=

wall temperature

Tc =

coolant flow inlet temperature

Tg =

mainstream inlet temperature

u =

velocity

uc=

inlet velocity of the plenum

ug=

inlet velocity of the main flow channel

W=

width of mainstream domain

Greek symbols
α=

inclination angle of the film hole

ρ=

secondary flow inlet density

ρg=

mainstream inlet fluid density

σk and σε =

k–ε turbulence model constants

μ=

molecular (dynamic) viscosity

μt=

turbulent viscosity

ν=

kinematic viscosity

φsp,av =

the laterally averaged cooling effectiveness

φ=

overall effectiveness

Nomenclature

Ah=

cross-section area of film cooling hole

Cε1, Cε2=

k–ε turbulence model constants

d =

diameter of circular film cooling hole

di=

diameter of the ith level of tree-shaped hole

L =

length of mainstream domain

M=

dimensionless blowing ratio

mh=

mass flow rate through the film hole

min,c =

mass flow rate entering the cooling channel

mout,c=

mass flow rate at outlet of the cooling channel

P =

pressure

Pabs=

standard atmospheric pressure

Pk=

production of turbulence

SM=

momentum source

SE=

energy source

Re=

Reynolds number

T =

temperature

Tcw=

wall temperature

Tc =

coolant flow inlet temperature

Tg =

mainstream inlet temperature

u =

velocity

uc=

inlet velocity of the plenum

ug=

inlet velocity of the main flow channel

W=

width of mainstream domain

Greek symbols
α=

inclination angle of the film hole

ρ=

secondary flow inlet density

ρg=

mainstream inlet fluid density

σk and σε =

k–ε turbulence model constants

μ=

molecular (dynamic) viscosity

μt=

turbulent viscosity

ν=

kinematic viscosity

φsp,av =

the laterally averaged cooling effectiveness

φ=

overall effectiveness

Additional information

Funding

This research was supported by the National Natural Science Foundation of China (51676163), the Fundamental Research Fund of Shenzhen City of China (JCYJ20170306155153048), and the Fundamental Research Funds of Shaanxi Province (2015KJXX-12).

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