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An Integrated Throughflow Method for the Performance Analysis of Variable Cycle Compression Systems

  • Baojie Liu , Shaofeng Jia and Xianjun Yu EMAIL logo
Published/Copyright: May 4, 2018
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Abstract

A streamline curvature method based integrated throughflow analysis approach is newly developed to deal with component matching problems of variable cycle compression systems. The construction of variable cycle compression system is modularly modelled in the procedure. Splitting and confluent flow are elaborately disposed. A numerical method based on the “streamline floating” character of streamline curvature method is developed to model the function of forward variable area bypass injector. Moreover, extensive models used in the throughflow calculations, including minimum loss incidence, deviation and loss models were assessed, selected and modified. Finally, code validations were conducted on three representative traditional compressors, i. e. NASA rotor 67, NASA stage 37 and a custom-designed low-speed repeating four-stage compressor. Both the predicted overall characteristics and spanwise profiles agree reasonably well with the experimental data. The validated procedure was finally used to sketch the performance maps of a double bypass compression system under two different control rules, i. e. the first bypass throttling and the second bypass throttling. The results show some aspects of the difficulties and complications in operating a variable cycle compression system, and meanwhile, demonstrate the superiority of the newly developed integrated throughflow method.

Funding statement: This work was supported by the National Natural Science Foundation of China [grant numbers 51776010, 51790511, 51476004].

Acknowledgements

The authors would like to thank Aeroengine Simulation Research Center of Beihang University for the use of the Numeca software package.

Nomenclature

c

blade chord

CDe

endwall drag coefficient

CDs

secondary flow drag coefficient

Cp

pressure rise coefficient, ΔPt/(0.5ρUmid2)

Deq

equivalent suction surface diffusion ratio

e

quasi-orthogonal direction on the mean streamsurface

f

mixing factor

G

mass flow rate

h

blade height

h1/h2

streamtube height ratio

H

total enthalpy

i

incidence angle

i010

minimum loss incidence angle of zero-camber NACA 65 cascades

ks

equivalent sand-grain roughness

KG

mass flow blockage correction factor

Ksh,i

minimum loss incidence angle blade shape correction factor

Ksh,δ

minimum loss deviation angle blade shape correction factor

Kt,i

minimum loss incidence angle thickness correction factor

Kt,δ

minimum loss deviation angle thickness correction factor

m

meridional direction

Ma

Mach number

ni

slope parameter of minimum loss incidence

nδ

slope parameter of minimum loss deviation

Nrow

blade row number

o

throat opening

P

pressure

Pt

total pressure

q

quasi-orthogonal direction on meridional perspective

r

radius

rc

radius of streamline curvature

R

gas constant for air

Re

Reynolds number based on chord and blade row inlet relative velocity

s

blade pitch

S

entropy

t

thickness of blade

tc

height of clearance

U

blade speed

V

absolute velocity

W

relative velocity

Wi

range of incidence angle

Z

number of blades in a blade row

β

relative flow angle measured from meridional direction

βˉ

mean flow angle, eq. (19)

γ

intersection angle of quasi-orthogonal and radial direction on meridional perspective

δ

deviation angle

δ010

minimum loss deviation angle of zero-camber NACA 65 cascades

δi

incidence induced deviation variation

δmanu

manual controlled deviation correction

ε

intersection angle of quasi-orthogonal on the mean streamsurface and radial direction

ζ

stagger angle

θ

camber angle

κ

blade angle from meridional direction

ρ

gas density

ρˉ

mean density of leakage flow

σ

solidity

ϕ

streamline slope angle

ω

loss coefficient

Subscript
a

additional

AVDR

axial velocity-density ratio, ρ2Vx,2/ρ1Vx,1

c

clearance

choke

choke condition

e

endwall

hub

hub span

m

meridional direction

mid

middle span

min

minimum loss condition

M

Mach number

s

shock

sonic

sonic condition

stall

stall condition

tip

tip span

θ

circumferential direction

1

inlet condition

2

outlet condition

3D

three-dimensional

Superscript

two-dimensional low-speed minimum loss condition

Abbreviations
LE

leading edge

TE

trailing edge

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Received: 2018-04-09
Accepted: 2018-04-24
Published Online: 2018-05-04
Published in Print: 2021-08-26

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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