ABSTRACT
In the current research, effects of the layout of film holes near the first-stage vane leading edge on the endwall cooling and phantom cooling of the vane suction side surface were numerically studied. The computational results indicate that the case with a positive film-hole angle achieves a higher cooling effectiveness level on the endwall and vane suction side surface compared to the case with a corresponding negative film-hole angle. Furthermore, the location of the film hole has a significant influence on the cooling performance of the endwall and vane suction side surface. In addition, the case with a smaller distance from film holes to the vane stagnation also attains a slightly higher cooling effectiveness (phantom cooling effectiveness) on the vane suction side surface.
Nomenclature
D | = | diameter of the film hole |
FL | = | distance from film holes to the leading edge |
h | = | height of the vane |
k | = | turbulent kinetic energy |
= | mass flow rate | |
T | = | Temperature |
T∞ | = | mainstream temperature |
Taw | = | adiabatic wall temperature |
Tc | = | coolant temperature |
x | = | lateral coordinate |
X | = | nondimensional lateral coordinate |
y | = | vertical coordinate |
Y | = | nondimensional vertical coordinate |
z | = | stream-wise coordinate |
Z | = | nondimensional stream-wise coordinate |
y+ | = | dimensionless wall-normal height of the first cell at the wall |
V | = | Velocity |
v | = | fluctuating velocity |
Greek | = | |
α | = | film-hole angle |
θ | = | nondimensional temperature |
η | = | adiabatic film-cooling effectiveness |
= | laterally averaged film-cooling effectiveness | |
= | area-averaged film-cooling effectiveness | |
Subscripts | = | |
aw | = | adiabatic wall condition |
c | = | coolant conditions |
in | = | inlet condition |
rms | = | root-mean-square |
∞ | = | mainstream conditions |
Nomenclature
D | = | diameter of the film hole |
FL | = | distance from film holes to the leading edge |
h | = | height of the vane |
k | = | turbulent kinetic energy |
= | mass flow rate | |
T | = | Temperature |
T∞ | = | mainstream temperature |
Taw | = | adiabatic wall temperature |
Tc | = | coolant temperature |
x | = | lateral coordinate |
X | = | nondimensional lateral coordinate |
y | = | vertical coordinate |
Y | = | nondimensional vertical coordinate |
z | = | stream-wise coordinate |
Z | = | nondimensional stream-wise coordinate |
y+ | = | dimensionless wall-normal height of the first cell at the wall |
V | = | Velocity |
v | = | fluctuating velocity |
Greek | = | |
α | = | film-hole angle |
θ | = | nondimensional temperature |
η | = | adiabatic film-cooling effectiveness |
= | laterally averaged film-cooling effectiveness | |
= | area-averaged film-cooling effectiveness | |
Subscripts | = | |
aw | = | adiabatic wall condition |
c | = | coolant conditions |
in | = | inlet condition |
rms | = | root-mean-square |
∞ | = | mainstream conditions |