EXP 1-1: Difference between revisions

From KBwiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 22: Line 22:
= Nomenclature =  
= Nomenclature =  


'''Symbol''' '''Description''' <br/>
{| class="wikitable" style="text-align:center; vertical-align:middle;"
A cross-section <br/>
|-
AT arrival time to the measurement volume <br/>
! <br />Symbol
Bo Bond number <br/>
! <br />Description
c droplet concentration <br/>
|-
CD discharge coefficient <br/>
| <br />A
D mean droplet diameter <br/>
| <br />cross-section
d diameter <br/>
|-
D10 arithmetic mean diameter <br/>
| <br />AT
D20 surface mean diameter <br/>
| <br />arrival time to the measurement volume
D32 Sauter mean diameter <br/>
|-
F force acting on a liquid element <br/>
| <br />Bo
Fr Froude number <br/>
| <br />Bond number
G gravitational acceleration <br/>
|-
K nozzle dimension constant <br/>
| <br />c
L characteristic distance <br/>
| <br />droplet concentration
lb break-up distance <br/>
|-
LDA1 velocity in Z-direction <br/>
| <br />CD
LDA4 velocity in Y-direction <br/>
| <br />discharge coefficient
n wave number <br/>
|-
Oh Ohnesorge number <br/>
| <br />D
p pressure <br/>
| <br />mean droplet diameter
Q flow rate <br/>
|-
q liquid-to-air momentum ratio <br/>
| <br />d
r radius <br/>
| <br />diameter
Re Reynolds number <br/>
|-
S swirl number <br/>
| <br />D10
Stk Stokes number <br/>
| <br />arithmetic mean diameter
SCA spray cone angle <br/>
|-
t time <br/>
| <br />D20
TT transit time through the measurement volume <br/>
| <br />surface mean diameter
Tu turbulence intensity <br/>
|-
u velocity <br/>
| <br />D32
U12 phase shift between photomultipliers 1 and 2 <br/>
| <br />Sauter mean diameter
U13 phase shift between photomultipliers 1 and 3 <br/>
|-
w swirl component of the velocity <br/>
| <br />F
We Weber number <br/>
| <br />force acting on a liquid element
X, Y, Z Cartesian coordinates <br/>
|-
| <br />Fr
'''Greek symbols''' <br/>
| <br />Froude number
v difference between the gas and droplet velocity <br/>
|-
ηn nozzle efficiency <br/>
| <br />G
µ dynamic viscosity <br/>
| <br />gravitational acceleration
ρ liquid density <br/>
|-
σ surface tension <br/>
| <br />K
| <br />nozzle dimension constant
'''Indices''' <br/>
|-
a aerodynamic <br/>
| <br />L
ac air core <br/>
| <br />characteristic distance
c swirl chamber <br/>
|-
cf cross-flow <br/>
| <br />lb
Cr critical <br/>
| <br />break-up distance
D droplet <br/>
|-
g gas <br/>
| <br />LDA1
i index number of a droplet <br/>
| <br />velocity in Z-direction
in atomiser inlet (inlet ports) <br/>
|-
l liquid <br/>
| <br />LDA4
m inertia <br/>
| <br />velocity in Y-direction
n total number of droplets <br/>
|-
o exit orifice <br/>
| <br />n
p pressure <br/>
| <br />wave number
r relative <br/>
|-
v0.1, v0.5, v0.9 volumetric fractions 0.1, 0.5 and 0.9 of the total droplet volume <br/>
| <br />Oh
µ related to dynamic viscosity <br/>
| <br />Ohnesorge number
σ related to surface tension <br/>
|-
<math> \tau </math> liquid film thickness <br/>
| <br />p
| <br />pressure
'''Abbreviations''' <br/>
|-
AC air core <br/>
| <br />Q
fps frames per second <br/>
| <br />flow rate
GT gas turbine <br/>
|-
HSC high-speed camera <br/>
| <br />q
HSV high-speed vizualization <br/>
| <br />liquid-to-air momentum ratio
LDA laser Doppler anemometry, <br/>
|-
PDA phase Doppler anemometry <br/>
| <br />r
PSA pressure-swirl atomiser <br/>
| <br />radius
RSF relative diameter span factor <br/>
|-
| <br />Re
| <br />Reynolds number
|-
| <br />S
| <br />swirl number
|-
| <br />Stk
| <br />Stokes number
|-
| <br />SCA
| <br />spray cone angle
|-
| <br />t
| <br />time
|-
| <br />TT
| <br />transit time   through the measurement volume
|-
| <br />Tu
| <br />turbulence intensity
|-
| <br />u
| <br />velocity
|-
| <br />U12
| <br />phase shift   between photomultipliers 1 and 2
|-
| <br />U13
| <br />phase shift   between photomultipliers 1 and 3
|-
| <br />w
| <br />swirl component of the velocity
|-
| <br />We
| <br />Weber number
|-
| <br />X,   Y, Z
| <br />Cartesian coordinates
|-
| <br />
| <br />
|- style="font-weight:bold;"
| <br />Greek symbols
| style="font-weight:normal;" | <br />
|-
| <br />Dv
| <br />difference between the gas and droplet velocity
|-
| <br />ηn
| <br />nozzle efficiency
|-
| <br />µ
| <br />dynamic viscosity
|-
| <br />ρ
| <br />liquid density
|-
| <br />σ
| <br />surface tension
|-
| <br />
| <br />
|- style="font-weight:bold;"
| <br />Indices
| style="font-weight:normal;" | <br />
|-
| <br />a
| <br />aerodynamic
|-
| <br />ac
| <br />air core
|-
| <br />c
| <br />swirl chamber
|-
| <br />cf
| <br />cross-flow
|-
| <br />Cr
| <br />critical
|-
| <br />D
| <br />droplet
|-
| <br />g
| <br />gas
|-
| <br />i
| <br />index number of a droplet
|-
| <br />in
| <br />atomiser inlet (inlet ports)
|-
| <br />l
| <br />liquid
|-
| <br />m
| <br />inertia
|-
| <br />n
| <br />total number of droplets
|-
| <br />o
| <br />exit orifice
|-
| <br />p
| <br />pressure
|-
| <br />r
| <br />relative
|-
| <br />v0.1, v0.5, v0.9
| <br />volumetric fractions 0.1, 0.5 and 0.9 of the total   droplet volume
|-
| <br />µ
| <br />related to dynamic viscosity
|-
| <br />σ
| <br />related to surface tension
|-
| <br />t
| <br />liquid film thickness
|-
| <br />
| <br />
|- style="font-weight:bold;"
| <br />Abbreviations
| style="font-weight:normal;" | <br />
|-
| <br />AC
| <br />air core
|-
| <br />fps
| <br />frames per second
|-
| <br />GT
| <br />gas turbine
|-
| <br />HSC
| <br />high-speed camera
|-
| <br />HSV
| <br />high-speed vizualization
|-
| <br />LDA
| <br />laser Doppler anemometry,
|-
| <br />PDA
| <br />phase Doppler anemometry
|-
| <br />PSA
| <br />pressure-swirl atomiser
|-
| <br />RSF
| <br />relative diameter span factor
|}


<br/>
<br/>

Revision as of 17:33, 14 May 2023

Pressure-swirl spray in a low-turbulence cross-flow

Front Page

Introduction

Review of experimental studies

Description

Experimental Set Up

Measurement Quantities and Techniques

Data Quality and Accuracy

Measurement Data and Results


Abstract

Pressure-swirl atomisers (PSA) produce fine spray and are used in many industrial, chemical and agricultural applications of sprays in flowing environments. The study examines spray from a small low-PSA exposed to low-turbulence cross-flowing air. The PSA spray was investigated experimentally using phase Doppler anemometry (PDA) and high-speed visualisation (HSV). The atomiser sprayed water into cross-flowing air at varying flow velocities. The tests were provided at a newly developed wind tunnel facility in the Spray laboratory at Brno University of Technology. PDA results contain information on the size and velocity of individual droplets in multiple positions of the developed spray (after the liquid break up is completed). A high-speed camera (HSC) documented the complexity of the liquid discharge, the formation and break-up of the liquid film, and the spray morphology. The data is relevant to CFD engineers and scientists involved in modelling as they can highlight the crucial phenomena to be considered in numerical simulations of the disperse two-phase flow case. The case allows us to study 1) Liquid discharge and sheet formation, the primary break-up of the liquid sheet, 2) secondary break-up and spray formation and 3) the Interaction of the sprayed liquid with surrounding air: gas–liquid mixing, droplet collisions, droplet clustering and droplet reposition.

References

[1] CEJPEK and Ondřej, University of Technology, 2020.

Nomenclature


Symbol

Description

A

cross-section

AT

arrival time to the measurement volume

Bo

Bond number

c

droplet concentration

CD

discharge coefficient

D

mean droplet diameter

d

diameter

D10

arithmetic mean diameter

D20

surface mean diameter

D32

Sauter mean diameter

F

force acting on a liquid element

Fr

Froude number

G

gravitational acceleration

K

nozzle dimension constant

L

characteristic distance

lb

break-up distance

LDA1

velocity in Z-direction

LDA4

velocity in Y-direction

n

wave number

Oh

Ohnesorge number

p

pressure

Q

flow rate

q

liquid-to-air momentum ratio

r

radius

Re

Reynolds number

S

swirl number

Stk

Stokes number

SCA

spray cone angle

t

time

TT

transit time through the measurement volume

Tu

turbulence intensity

u

velocity

U12

phase shift between photomultipliers 1 and 2

U13

phase shift between photomultipliers 1 and 3

w

swirl component of the velocity

We

Weber number

X, Y, Z

Cartesian coordinates



Greek symbols


Dv

difference between the gas and droplet velocity

ηn

nozzle efficiency

µ

dynamic viscosity

ρ

liquid density

σ

surface tension



Indices


a

aerodynamic

ac

air core

c

swirl chamber

cf

cross-flow

Cr

critical

D

droplet

g

gas

i

index number of a droplet

in

atomiser inlet (inlet ports)

l

liquid

m

inertia

n

total number of droplets

o

exit orifice

p

pressure

r

relative

v0.1, v0.5, v0.9

volumetric fractions 0.1, 0.5 and 0.9 of the total droplet volume

µ

related to dynamic viscosity

σ

related to surface tension

t

liquid film thickness



Abbreviations


AC

air core

fps

frames per second

GT

gas turbine

HSC

high-speed camera

HSV

high-speed vizualization

LDA

laser Doppler anemometry,

PDA

phase Doppler anemometry

PSA

pressure-swirl atomiser

RSF

relative diameter span factor




Contributed by: Ondrej Cejpek, Milan Maly, Jan Jedelsky — Brno University of Technology

Front Page

Introduction

Review of experimental studies

Description

Experimental Set Up

Measurement Quantities and Techniques

Data Quality and Accuracy

Measurement Data and Results


© copyright ERCOFTAC 2024