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This document was created, Cheat Sheet of Mathematics

I uploaded this solely to get points haha

Typology: Cheat Sheet

2023/2024

Uploaded on 11/03/2023

jack-knueve
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2. Turbojet Engine
2 shaft configuration: Fan is driven by LP turbine and compressor by HP turbine
Design @ sea leval static condition, Pambient = 1.0bar, Tambient = 288K
Component performance
Value
1
Overall pressure ratio
25
2
Fan pressure ratio
1.65
3
Bypass ratio
5.0
4
Total air mass flow
215 kg/s
5
Turbine inlet temperature
1550K
6
Isentropic efficiency of nozzle
0.95
7
Polytropic efficiency of fan, compressor, & turbine
0.90
8
Mechanical transmission efficiency,
0.99
9
Combustion pressure loss
1.5 bar
overall
.
fam
-
-fur
X
Pa
P
Po
TH
Jor
TEM
Cold
Pr
=
PR
T8T
=
?
0
Bypass
Flow
O
O
·
-
not
cre
Flo
101525
Da
me/mn=
ass
far
=
mc
+
mw
-
-
!
I
-Y
I
"
t
Nacelle
Inket
-
ignores
for
how
Toi
=
Ta
,
Poi
=
P
or"-c
=
()
for
Isotropic
Process
.
Fer
Air
zu
=
1
.
M
-
()
For
bein
·
gas
Jy
=
1
.
3
For
polybogic
process
=
I
1
.
40-1
->
1
,
40x
0
.
09
0
=
0
.
3175
pf3

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  1. Turbojet Engine 2 shaft configuration: Fan is driven by LP turbine and compressor by HP turbine Design @ sea leval static condition, Pambient = 1.0bar, Tambient = 288K Component performance Value 1 Overall pressure ratio 25 2 Fan pressure ratio 1. 3 Bypass ratio 5. 4 Total air mass flow 215 kg/s 5 Turbine inlet temperature 1550 K 6 Isentropic efficiency of nozzle 0. 7 Polytropic efficiency of fan, compressor, & turbine 0. 90 8 Mechanical transmission efficiency, 0. 9 Combustion pressure loss 1.5 bar overall. fam
  • (^) -fur

X

Pa P^ Po TH Jor^ TEM^ Cold Pr = PR (^) T8T (^) = 0?

Bypass Flow ② O (^) O

  • (^) not (^) cre Flo 101525 Da me/mn= ass far = mc + mw

-!

I I-Y"

t ①^ Nacelle^ Inket (^) - ignores for^ how Toi =^ Ta^ ,^ Poi^ = P ② (^) or"-c =

for (^) Isotropic Process (^). Fer Air^ zu=^1.^ M

() For bein ·^ gas^ Jy^

= 1.^3 For (^) polybogic process =

I

1.^ 40-

,^ 40x^0.^09 0 =^0.^3175

For (^) Expansion = (^ */^ 2 , turoine = ( ) x * (^) = (^0) =0.^245

Tos = 288 x^ 165"^

= (^357). 6h "O (^). (^) -s E = (b)

.^6 x e) Poz/P,

Tos= Youx (2, 37)

= 337

.^ 6x2.^37 = 800

Tos-Toe

= 800 - 337

.^6 =^462.^ 4k ④ (^) Chocking of fan^ Nozzle =

Far

Pressure =^1. 65

f

(1-il] sito(iiiy= (^1) , 93s No chocking by far^ Nozzle ⑤ (^) I = mea - ma ID SFEE mth -^ -^ h,^ +^ V (^) + g(zz- (^) z)]= Gin^ ,^ next^ Win (^) , net /

stating Cin^ ,

net-Wort (^) net stagnation , al^ h