Stator Stator Land Rotor Seal Teeth (“Knife Edges”) High Pressure Region Low Pressure Region...
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Transcript of Stator Stator Land Rotor Seal Teeth (“Knife Edges”) High Pressure Region Low Pressure Region...
Stator
Stator Land
Rotor
Seal Teeth (“Knife Edges”)
High Pressure Region
Low Pressure Region
Leakage Flow
t
w
h
crb
θh/2f1
f2
rs
tL
rL,1 rL,2
L1
L2
L3
tL
Stator
Stator Land
Rotor
Seal Teeth Ups
trea
m A
nnul
s
Dow
nstr
eam
Ann
uls
Parameter Value Units
t 0.275 inches
h 0.25 inches
w 0.11 inches
cr 5-15 mils
b 0.010 inches
θ 70 degrees
f1 0.030 inches
f2 0.020 inches
rs 8.0 inches
Parameter Value Units
rL,1 8.4 inches
rL,2 8.1 inches
tL 0.15 inches
L1 2.2 inches
L2 3.25 inches
L3 5.0 inches
Boundary Condition Value Units
Pup 500 psia
Tup 1000 F
RPMF,up 0
Turbulent Intensity Up 5 %Length Scale Up 0.01 inches
Pdown 250 psia
Turbulent Intensity Down 5 %Length Scale Down 0.01 inches
ω 18000 rpmcr 5 mils
ω
Pup
Tup
RPMFup
Pdown
cr
Grid Density
# Cells Cell Size Region A (mils)
Cell Size Region B (mils)
# Cells in clearance gap
Very Coarse 6,500 10 20 6
Coarse 2,300 5 10 6
Medium 91,000 2.5 5 7Fine 260,000 1.25 2.5 7
AB
B
Grid Density # Cells Flow Rate YY (lbm/s)
Total Temperature at XX (F)
Total Temperature at ZZ (F)
Very Coarse 6,500 0.898 1116.8 1249.0
Coarse 2,300 0.954 1111.9 1230.4
Medium 91,000 0.917 1106.0 1217.9Fine 260,000 0.902 1103.0 1210.0
Very Coarse Coarse
Medium Fine
Fluent CFD Setting Value
Solver Type Pressure
Velocity Formulation Absolute
Turbulence Model k-omega SSTw/Viscous Heatingw/Compressibility Effects
Air Density Ideal GasAir Specific Heat / Conductivity / Viscosity Property Curves- See AppendixSolution Scheme SimpleSpatial Discretization: Density, Momentum, Swirl Velocity, Energy
Second Order Upwind
Spatial Discretization: Turbulent Kinetic Energy, Specific Dissipation Rate
First Order
Spatial Discretization: Gradient Least Squares Cell BasedSpatial Discretization: Pressure Standard
XXYY ZZ
T = T = =
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 5 mils
Total Temperature (F)
Stream Function (lbm/s)
Pressure (psia)
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 5 mils
Swirl Velocity (ft/s)
RPMF
% Swirl Velocity
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 5 mils
Total Relative Temperature (F)
Total Temperature (F)
Total Temperature no viscous work (F)
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 5 mils
Convergence
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 5 mils
Axial=5.136” Axial=6.309”
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 5 mils
Result Value Units
Leakage 0.9173 lbm/s
Tt,abs,xx 1107 F
Tt,abs,zz 1218 F
111 F
27.27 BTU/s
σmethod1 0.91 -
25.63 BTU/s
105 F
σmethod2 0.87 -
XXYY ZZ
10 Mil Clearance
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 10 mils
Total Temperature (F)
Stream Function (lbm/s)
Pressure (psia)
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 10 mils
Swirl Velocity (ft/s)
RPMF
% Swirl Velocity
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 10 mils
Total Relative Temperature (F)
Total Temperature (F)
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 10 mils
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 10 mils
Axial=5.136” Axial=6.309”
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 10 mils
Result Value Units
Leakage 2.07 lbm/s
Tt,abs,xx 1066 F
Tt,abs,zz 1138 F
71 F
39.45 BTU/s
σmethod1 0.58 -
32.75 BTU/s
60 F
σmethod2 0.49 -
XXYY ZZ
15 Mil Clearance
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 15 mils
Total Temperature (F)
Stream Function (lbm/s)
Pressure (psia)
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 15 mils
Swirl Velocity (ft/s)
RPMF
% Swirl Velocity
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 15 mils
Total Relative Temperature (F)
Total Temperature (F)
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 15 mils
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 15 mils
Axial=5.136” Axial=6.309”
Boundary Condition
Value Units
Pup 500 psia
Tup 1000 F
Pdown 250 psia
ω 18000 rpm
Cr 15 mils
Result Value Units
Leakage 3.40 lbm/s
Tt,abs,xx 1044 F
Tt,abs,zz 1100 F
56 F
50.98 BTU/s
σmethod1 0.46 -
38.76 BTU/s
42.7 F
σmethod2 0.35 -
XXYY ZZ
5 mil
10 mil
15 mil
Fixed Pressure
Cr (mil) (lbm/s) (Btu/s) ΔTt (F) σ RPMFup
5 0.92 27.3 111 0.91 0.322
10 2.07 39.5 71 0.58 0.255
15 3.4 51.0 56 0.46 0.173
Fixed Pressure
Fixed Flow
15 mil
10 mil
5 mil
Cr (mil) (lbm/s) (Btu/s) ΔTt (F) σ RPMFup
5 0.91 27.27 111 0.91 0.32
10 0.9 21.46 89 0.73 0.33
15 0.9 19.33 81 0.67 0.31
Fixed Flow
15 mil
10 mil
5 milFixed Flow
Case # Inlet Total Temperature (F)
Rotor Temperature (F)
Stator Temperature (F)
1 1000 500 Adiabatic2 1000 Adiabatic 500
3 1000 1500 Adiabatic4 1000 Adiabatic 1500
Tstator=500F
Trotor=500F
Trotor=1500F
Tstator=1500F
Trotor=500F; Tt,rel Contours
Case # Rotor Temperature (F)
Stator Temperature (F)
Average Rotor HTC (BTU/hr-ft2-F)
Average Stator HTC (BTU/hr-ft2-F)
1 500 Adiabatic 658 ---
2 Adiabatic 500 --- 1269
3 1500 Adiabatic 618 ---
4 Adiabatic 1500 --- 1275
Trotor=500F No Viscous Heating
Tstator=500F No Viscous Heating
Case # Rotor Temperature (F)
Stator Temperature (F)
Average Rotor HTC (BTU/hr-ft2-F)
Average Stator HTC (BTU/hr-ft2-F)
1a 500 Adiabatic 594 ---
2a Adiabatic 500 --- 1097
|𝑉 𝑎𝑥𝑖𝑎𝑙
𝑉 𝑠𝑤𝑖𝑟𝑙|
tfoil
Cell Size
3D Model # Cells # Nodes
1/8” Honeycomb 5.3 million 1.1 million
1/32” Honeycomb 8.4 million 1.8 million
Pressure (psia)
Total Temperature (F)
Velocity Magnitude (ft/s)
Swirl Velocity (ft/s)
RPMF
Cr (mil) Cell Size (in) (lbm/s) (Btu/s) σ ΔTt (F)
5 None; Solid 0.92 25.6 0.91 111
10 None; Solid 2.07 32.7 0.58 71
15 None; Solid 3.4 38.8 0.46 56
5 1/8” 2.25 28.1 0.38 47
5 1/32” 0.54 21.0 1.2 144
Pressure (psia)
Total Temperature (F)
Velocity Magnitude (ft/s)
Swirl Velocity (ft/s)
RPMF
Low pressure compressor stator shrouds
High pressure compressor stator shrouds
Bearing compartment buffer seals
Low turbine inter-stage seals and blade tips
High pressure turbine inter-stage seals and blade tips