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Entropy, Energy and Exergy for Measuring PW4000 Turbofan Sustainability

  • Hakan Aygun und Onder Turan EMAIL logo
Veröffentlicht/Copyright: 5. Februar 2019
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Abstract

This study focuses on for a PW4000 high-bypass turbofan engine using energy, exergo-sustainable and performance viewpoint. For this aim, irreversibility and performance analyses are firstly performed for five main engine components at ≈260 kN maximum take-off thrust force. Besides, overall efficiency of the turbofan is determined to be 33 %, while propulsive and thermal efficiency of the turbofan are 72 % and 46 % respectively at 0.8 M and 288.15 K flight conditions. Secondly, calculation component-based exergetic assessment is carried out using exergetic indicators. According to the calculation, the exergetic efficiency of the engine is 32 %, while its waste exergy ratio is 0.678. Furthermore, exergetic sustainability measure is obtained as 0.473, while enviromental effect factor is 2.112. These indicators are also anticipated to help comprehend the connection between engine performance parameters and worldwide dimensions such as environmental effect and sustainable growth.

Nomenclature

CP

Specific heat (kJ kg−1 K−1)

V

Velocity (m.s−1)

f

fuel-air ratio

m ˙

Mass flow rate (kg sn−1)

h

Specific enthalpy (kJ kg−1)

F ˙

Fuel exergy (MW)

P ˙

Product exergy (MW)

P

Pressure (kPa)

A q

Rate of total anergy generation (J·s−1 )

A w

Rate of anergy generation by shock waves (J·s−1 )

A T

Rate of anergy generation by thermal mixing (J·s−1 )

A

Rate of anergy generation by viscous dissipation (J·s−1 )

E x e n g

Rate of exergy supplied by the engine system (J·s−1 )

E ˙ x m

Rate of mechanical exergy outflow (J·s−1 )

Φ

Dissipation rate per unit volume (J s−1m−3)

Γ

Weight specific aircraft energy height (m)

τ

Viscous stress tensor (N)

R

Specific gas constant (kJ kg−1 K−1)

E

Energy rate, MW

Ex

Exergy rate, MW

hpr

Fuel heating value (kJ.kg−1)

q ˙

Heat flux by conduction (J s−1)

s

Specific entropy (kJ kg−1 K−1)

χ

Relatively irreversibility

y i

Mole fraction of component i in the exhaust gas

ψ

Flow exergy (kj/kg)

g

Gibb’s free energy (kj/kmol)

T

Temperature (K);Thrust(kN)

v

Specific volume (m3kg−1)

x

Molar fraction

n

Number of moles

ke

Kinetic energy

pe

Potential energy

u

Velocity of stream (m.s−1)

W ˙

Work rate (MW)

τ

Thrust (kN)

MTOP

Maximum Take-off Operation

TORP

Take-off Running Power

BPR

Bypass ratio

LPT

Low pressure turbine

LPC

Low pressure compressor

HPT

High pressure turbine

HPC

High pressure compressor

M

Mach number

Greek Letters
η

Efficiency

Δ

Difference

π

Total pressure ratio

Subscripts and superscripts

a

Air

A

Aircraft surface area

actl

Actual

B

Aircraft body surface

O

Outer boundary; overall

m

Mechanical

e

Exhaust or exit

en

Exhaust nozzle

ec

Exit cold

eh

Exit hot

eng

Engine

tot

Total

0

Environment

p

Propulsive

0,1,2 …

Station numbering of the engine component

th

Thermal

o

Overall

c

Core; compressor; cold

t

Turbine

n

Nozzle

LHV

Lower heating value

cv

Control volume

ref

Reference

ch

Chemical

k

Any k component

dest

Destroyed, destruction

ex

Exergy

eef

Environmental effect factor

exd

Exergy destruction

w e

Waste exergy

e s i

Exergetic sustainability index

ph

Physical

re

Recoverable exergy

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Received: 2018-12-24
Accepted: 2019-01-24
Published Online: 2019-02-05
Published in Print: 2021-12-20

© 2019 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 23.10.2025 von https://www.degruyterbrill.com/document/doi/10.1515/tjj-2018-0050/html
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