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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 10
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Original Articles

Effects of deposition locations on film cooling with and without a mist injection

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Pages 1072-1086 | Received 28 Apr 2016, Accepted 09 Aug 2016, Published online: 20 Oct 2016
 

ABSTRACT

The adiabatic film-cooling effectiveness on a thermal barrier coating surface is investigated numerically. A film-cooling hole with an inclination angle of 35° is placed upstream the deposition configuration. The depositions are arranged on the external wall with three different positions. For no-mist models, the cooling performances downstream the wall are investigated for the blowing ratios of 0.5, 0.75, and 1.0. Results show that the adiabatic film-cooling effectiveness without surface deposition is decreased by increasing the blowing ratio. To investigate the effects of both different locations and 4.4% mist injection on the film cooling, a discrete phase model (DPM) is used. It is found that the film-cooling effectiveness is improved remarkably from the deposition position to the wall downstream. In addition, deposition formation at the middle location shows a good cooling effectiveness, but the lowest value of the film-cooling effectiveness occurs upstream the deposition position.

Nomenclature

c=

deposition location (distance), m

d=

film hole throat diameter, m

Deff=

effective diffusion coefficient

h=

height of deposition, m

k=

turbulence kinetic energy, m2/s2

M=

blowing ratio, =ρjVj/ρV

P=

pressure, N/m2

S. F=

source term

T=

temperature, K

u=

streamwise velocity component, m/s

V=

velocity magnitude, m/s

w=

width of deposition, m

x, y, z=

coordinate direction distance, m

α=

inclination angle, deg

ϵ=

turbulence dissipation rate, m2/s3

η=

adiabatic film-cooling effectiveness, = (TawTi)/(TjTi)

λ=

thermal conductivity, W/m K

θ=

nondimensional temperature, = (TTi)/(TjTi)

ρ=

density, kg/m3

τ=

stress tensor, N/m2

Subscripts=
a=

area average value

aw=

adiabatic wall

c=

centerline

i=

mainstream flow

j=

coolant jet

t=

turbulent

Nomenclature

c=

deposition location (distance), m

d=

film hole throat diameter, m

Deff=

effective diffusion coefficient

h=

height of deposition, m

k=

turbulence kinetic energy, m2/s2

M=

blowing ratio, =ρjVj/ρV

P=

pressure, N/m2

S. F=

source term

T=

temperature, K

u=

streamwise velocity component, m/s

V=

velocity magnitude, m/s

w=

width of deposition, m

x, y, z=

coordinate direction distance, m

α=

inclination angle, deg

ϵ=

turbulence dissipation rate, m2/s3

η=

adiabatic film-cooling effectiveness, = (TawTi)/(TjTi)

λ=

thermal conductivity, W/m K

θ=

nondimensional temperature, = (TTi)/(TjTi)

ρ=

density, kg/m3

τ=

stress tensor, N/m2

Subscripts=
a=

area average value

aw=

adiabatic wall

c=

centerline

i=

mainstream flow

j=

coolant jet

t=

turbulent

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