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A B S T R A C T

B

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p

r e

d i

ct e

d

a n

d m

e a s u re

d

tr a n s

f

e r e

ff i

c

i

e n c

y

, r e s

p

e ct

i

v e

l y

(

u n

i

t

l

e s s

)

a

i

r ve

l

o c

i

t

y

o

f

t

h

e

w i

n

d

tu n n e

l

(

ft /

s

)

ve

l

oc

i

t

y

o

f

a

i

r

fr

o

m H V

L P s

p

ra

y g

u n

(

m /

s e c

)

r e

l

at

i

v e v e

l

o c

i

ty o

f

a

i

r to

l i

qu

i d fr

o

m

s

p

r ay

g

u n

(

ft /

s e c

)

v e

l

oc

i

t

y

o

f

a

i

r at

hy p

ot

h

et

i

c a

l

n o z z

l

e

(

m /

s

)

d i

sta n c e

d

o

w

n str e a

m f

ro

m

t

h

e

h yp

ot

h

et

i

c a

l

c

i

r c u

l

ar

j

et

(

m

)

re

d

uc e

d d i

a

m

eter,

d

s o

/

M

M

D

(7)

V l l l

L I

S

T

O

F

SY

M

B

O

L

S

(

c o n t in u ed

)

G

r e e

k L

et te r s

o s u r

f

a c e te n s

i

o n o

f l i

qu

i d

(

d

yn e s

/

c

m

)

O

v c u

m

u

l

at

i

v e v o

lu

m

e

fr

e

q

u e n c

y f

o r a

p

a rt

i

c

l

e s

i

z e

d is

tr

ib

ut

i

o n

(

u n

i

tle s s

)

Ht, ixi v

i

s c o s

it

i

e s o

f

a

i

r an

d l i q

u

i d

, re s

p

e ct

iv e

l y

(

c e

nt

i p

o

i

s e

)

y

rat

io o

f

s

p

e c

ifi

c

h

e ats : c onstant at

1

.

4 fo

r a

ir

(

u n

i

t

l

e ss

)

P

a,

p

i

d

e n s

it

i

e s o

f

a

i

r a n

d l i q

u

i d

, res

p

e ct

iv e

ly

(

Ib /ft

^

)

P

air

p

a rt

ic

le

o

f

a

ir

fr

o

m

s

p

r ay

g

u n

(

k g / m

^

)

Pp

p

a rt

ic

le

d

e n s

i

t y

(k g / m

^

)

P

o

d

e n s

i

t

y

o

f

a

ir

in

the r e s e r v o

i

r

(

Ib/ ft

^

(8)

I

.

I N

T

R O

D

U C T

I

O N

T

h

e

h i g h

v o

l

u

m

e

lo

w p

re s su re

(

H

V L P

)

s

p

ra

y g

u n

is a

s

p

ec

i

a

l i

ze

d p i

e c e o

f

s

p

r a

y

p

a

i

nt

i

n

g

e

q

u

ip m

e nt t

h

at o

p

e r ate s at

l

o

w

e r

g

u n

p

r ess u r e s a n

d

pr o

d

u c e s

g

r e ate r a

i

r

f lo

w

rates t

h

a n c o n v ent

i

o n a

l

s

p

r ay

g

u n s.

W

hi l

e c o n v e nt

i

o n a

l g

u n s o

p

e r ate at t y p

i

c a

l

ca

p

pr e s s u r e s

i

n t

h

e r a nge o

f

5 0 to 6 0 ps

i

g, t

h

e

H

V L P spr ay gu n

i

s

l i m it

e

d

to a

m

a x

i m

u

m

o

f

1 0

p

s

i g

at t

h

e

g

u n c a

p

.

A i

r

fl

o

w

r ate s

f

o r t

h

e

H V L P

s

p

ra

y g

u n c a n ex c e e

d 2

0 s c

fm

at

10 p

s

i g

.

C

o n v e nt

i

o n a

l g

u n s o n

l

y

p

r o

d

u c e a r o u n

d

1 4 to 1 6 s c

fi

n at t

h

e

i

r

m

a x

i m

u

m p

r e ssu r e r a n

g

e. ^'^

H V

L P s

p

r ay

g

u n s

h

a v e a

l

s o

b

e e n r e

p

o r te

d

to

h

a ve

h i g h

e r tr a n s

f

e r e

f fi

c

i

e n c

i

e s t

h

an

c o n v e nt

i

o n a

l

s

p

r ay

g

u n s ^ *^

T h

e tr a n s

f

e r e

ff i

c

i

e n cy o

f

a s

p

r a

y g

u n r e

p

r e s e nts t

h

e

f

r a ct

i

o n o

f

m

a s s spr aye

d fr

o

m

t

h

e gu n t

h

at

d

epo s

i

ts o nto t

h

e

w

o r

k p i

e c e.

D

r o

p l

ets n ot

d

e

p

o s

it

e

d

o nto

t

h

e

w

o r

k

p

i

e c e a r e te r

m

e

d

o v e r s

p

r ay a n

d h

a v e t

h

e

p

ote nt

i

a

l

t o

b

e tr a n spo rte

d i

nto t

h

e

w

o r

k

e r

'

s

b

r e at

h i

n

g

z o n e T

h

u s, s

p

r ay

g

u n s

w it

h hi g h

e r tran s

f

e r e

ff i

c

i

en cy, s u c

h

a s t

h

e

H V

L P

g

u n,

h

a v e

l

o

w

e r r ates o

f

o v e r s

p

ra

y

a n

d

a r e

d

u c e

d p

ote ntia

l f

o r

w

or

k

e r e x

p

o s u r e to

m i

sts

R

ec ent

w

o r

k h

a s

d

o c u

m

e nte

d

t

h

e r e

l

at

i

o n s

hi p b

et

w

e e n tr a n s

f

e r e

fl H

c

i

e n cy a n

d w

or

k

er

ex

p

o su re. ^^ ^^

C

a r

l

to n a n

d

F

l

yn n

(

1

9 9

6

)

ha

ve

d

e v e

lo

p

e

d

a

m

o

d

e

l

t

h

at

p

r e

di

cts t

h

e

c o n c e ntr at

io

n o

f p

a rt

i

c

le s

i

n a

w

o r

k

e r's

b

r eat

hi

n

g

z o ne a s a

f

u nc t

i

on o

f

t

h

e o v e r s

p

r a

y

g

e n e r at

i

o n r ate

H

e

i

t

b

r

i

n

k

et a

l

(

19 9 6

)

h

a v e s

h

ow n e x

p

er

i m

e nta

l l y

t

h

at t

h

e

h i gh

e r tr a n s

f

er

e

ffi

c

i

e n c

i

e s a ssoc

ia

te

d w i

t

h H

V L P

g

u n s c o r r e s

p

on

d

to

l

o

w

er

w

o r

k

e r ex

p

osu r e to

p

a

i

nt

m is

ts a s

co

m p

a r e

d

to t

h

e tr a nsfer e

ffi

c

i

e n c

i

e s o

f

a con v ent

i

o n a

l

s

p

r a

y g

u n

Fr o

m

a n e n v

i

ron

m

e nta

l p

e r s

p

e ct

i

v e,

h ig h

e r tr a n s

f

e r e

ffi

c

i

e n c

i

e s c a n r e

d

u c e t

h

e a

m

o u nt

o

f p

a

i

nt c o nsu

m

e

d

a n

d

t

h

e a

m

o u nt o

f

v o

l

at

i l

e o r

g

a n

i

c c o

m p

o u n

d

s

(

V O C

s

)

e

m i

t te

d fr

o

m

s

p

r a

y

p

a

i

nt o

p

e r at

i

o n s ^ '^

F

or t

h

es e r e a s o n s,

H V L P g

u n s c a n

b

e u s e

d

a s c o ntr o

l

te c

h

n o

l

o

g

y.

O

n e

s u c

h

c a s e

i

s

i

n t

h

e

S

tate o

f C

a

l if

o r n

i

a,

w h i

c

h

r e

q

u

i

r e s t

h

at

H V L P

s

p

r a

y g

u ns

(

o r ot

h

e r s

p

ra

y

e

q

u

ip m

ent c a

p

a

bl

e o

f

ac

h i

e v

i

n

g

a

6 5

%

transfer e

ffi

c

i

e n c

y)

b

e u s e

d i

n su r

f

a c e c o at

i

n

g

ap p

li

c at

i

o n s ^^' *^

B e c a u s e o

f

t

h

e

p

ote nt

i

a

l b

e n e

fi

ts o

f

a c

hi

e v

i

n

g hi g h

e r tr a nsfe r e

ffi

c

ie

nc

i

e s

i

n s

p

ra

y

p

a

i

ntin

g

ope r at

i

o n s,

m

et

h

o

d

s

f

o r qu a nt

if

y

i

ng tr a n s

f

e r e

ffi

c

i

e n cy

m

ay

b

e

i m p

o rta nt to s

p

r ay

(9)

2

e x a

m i

n e t

h

e

f

a cto r s t

h

at a

ff

e ct tr a n s

f

e r e

ffi

c

i

e n cy a n

d

to

d

e v e

l

o

p

a t

h

eo ret

i

ca

l m

o

d

e

l

to

p

re

d i

ct tr a n s

f

e r e

ffi

c

i

e n cy

b

a s e

d

o n t

h

e

i

n e rt

i

a

l i m p

a ct

i

o n o

f p

a rt

i

c

l

e s o nto a

w

o r

k p i

e c e

n

. T

H

E

O R

E T I

C A

L

C O N S

m

E

R A

T I

O N

T

h

e ap p

l i

c at

i

o n o

f

pa

i

nt

fr

o

m

a s

p

r ay

g

u n to a s u r

f

a c e c a n

b

e

m

o

d

e

l

e

d

a s a n

i m p

a ct

i

o n

p

ro c e s s. In

i

t

i

a

l l

y, a spr a

y g

u n a to

m i

z e s

l i q

u

i d i

nto

d

r o

p l

ets,

w hi

c

h

a r e t

h

e n trans

p

orte

d

to a

w

o r

k p i

e c e v

i

a

m

o

m

entu

m

o

f

t

h

e a

i

r

j

et

P

a

i

nt

d

ro

p l

ets

w i

t

h

su

ffi

c

i

ent

i

nert

i

a

i m p

act u

p

o n an

d

c o at t

h

e

w

or

k p i

e c e,

w h i l

e

p

art

i

c

l

e s

w i

t

h l

es s

i

n e rt

i

a

f

o

l l

o

w

t

h

e

a

i

r str e a

m

a n

d b

e c o

m

e

p

art o

f

t

h

e o v e r s

p

r ay Fr o

m

t

h i

s s

i m p l i fi

e

d

o v e r v

i

e

w

o

f

t

h

e c o at

i

n

g

p

r o c e s s, a

m

o

d

e

l w

a s

d

e v e

l

o

p

e

d

to

p

r e

d i

ct t

h

e tr a n s

f

e r e

ffi

c

i

e n c

y

o

f

t

h

e

H V

L P s

p

r a

y g

u n T

h

e v a r

i

o u s ste

p

s o

f

t

h

e

i m p

a ct

i

o n

m

o

d

e

l

-ato

m i

z at

i

o n, tr a n s

p

o rt v

i

a

m

o

m

e ntu

m

,

i m p

a ct

i

o n, a n

d

o v e r s

p

r a

y

- a r e

d i

s c u s s e

d i

n

d

eta

il i

n t

hi

s s e ct

i

o n

.

2

. 1

A

to

m

iza tio n

T h

e

p

e r

f

o r

m

a n c e o

f

a n ato

m i

z e r, s u c

h

a s t

h

e

H V L P

s

p

r ay

g

u n,

d

e

p

e n

d

s on

i

ts s

i

z e,

t

h

e

g

eo

m

etr

y

o

f

t

h

e n o z z

l

e, t

h

e

p h

ys

i

c a

l p

ro

p

e rt

i

e s o

f

t

h

e

l i q

u

i d b

e

i

n

g

ato

m i

z e

d

, a n

d

t

h

e

m

e

d i

u

m

e n v e

l

o

p i

n

g

t

h

e ato

m i

z e

d l i q

u

i d

^ '^

B

e c au s e o

f

t

h

e

l

o

w p

re s su re s as s o c

i

ate

d w i

t

h

a

H V L P

s

p

r a

y g

u n,

i

ts

g

e o

m

etr

y m

a

y

b

e

m

o r e c r

i

t

i

c a

l i

n ato

m i

zat

i

on t

h

an t

h

at o

f

a c on vent

i

ona

l

s

p

r a

y g

u n ^ '

' *^

F i g

u re

1

s

h

o

w

s a

s c

h

e

m

at

i

c o

f

t

h

e

H V

L P s

p

r a

y g

u n noz z

l

e

A

s s e e n

i

n t

h

e

fi g

u r e, a

i

r

i

s

d i

sc

h

a r

g

e

d

t

h

r o u

g h

an an n u

l

u s s u r r o u n

d i

n

g

t

h

e

l i q

u

i d

noz z

l

e.

A

to

m i

zat

i

o n o

f l i q

u

i d fr

o

m

t

h

e

H V L P

s

p

ra

y g

u n

oc c u r s a s t

h

e str e a

m

o

f l i q

u

i d i

s

d i

s c

h

a rge

d i

nto t

h

e s u r r o u n

d i

n

g

c o

l

u

m

n o

f

r e

l

at

i

v e

l

y

f

a st

m

o v

i

n

g

a

i

r.

B

e c a u s e t

w

o

fl

u

i d

s a r e

i

n v o

l

v e

d

, t

h i

s t

y p

e o

f

ato

m i

z at

i

o n

i

s te r

m

e

d

t

w i

n -

fl

u

i d

ato

m i

z at

i

o n

T h

e

H V L

P

g

u n

i

s r e

f

e r r e

d

to a s a n e xte r n a

l

-

m i

x

i

n

g

ato

m i

z e r,

m

e a n

i

n

g

t

h

at t

h

e

h i g h

v e

l

o c

i

ty a

i

r stre a

m i m p i

n

g

e s on t

h

e

l iq

u

i d

outs

i d

e t

h

e

l i q

u

i d d i

s c

h

a r

g

e noz z

l

e ^

'^

(10)

l i q

u

i d i

nto s

m

a

l l

e r

d

r o

p l

ets.

V i

s c o s

i

t y a

f f

e cts

b

ot

h

t

h

e

d

r o

p

s

i

z e

d i

str

i b

ut

io

n an

d

t

h

e

fl

o

w

rate o

f l i q

u

i d

.

A

n

i

n c r eas e

i

n v

i

s c o s

i

t

y w i l l d

e c re ase t

h

e

R

e

y

n o

l d

s n u

m b

e r

(

R

e

)

a n

d

p

r e v e nt

i

ns ta

b i li

t

i

e s

i

n t

h

e

l i q

u

i d

j

et

D i

s

i

nte

g

r at

io

n o

f

the

l i

qu

i d

o c c u r s

w h

e n a e r o

d

yn a

m i

c

f

orc es ex ce e

d

t

h

e s e c o n s o

l i da

t

i

n

g f

o r c e s. ^^^

T h

e

p

a rt

i

c

l

e s

i

z e

d i

str

i b

ut

i

o n o

f l i q

u

i d d

r op

l

ets ato

m i

z e

d b y

t

h

e

H V

L P spr ay gu n

d

e

fi

n e s t

h

e

fi

"

a ctio n of pa rticle s that

w

i ll impa ct a

w

o rk p ie c e S in c e the ato

m

iz atio n

p

r o c e s s

i

s co

m p l

e x,

p

r e

d i

ct

i

o n o

f p

a rt

i

c

l

e s

i

z e

d i

s tr

i b

ut

i

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l

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h

e

w

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k

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(

Y

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)

w

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, a n

d

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g

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w

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l

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ot

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l

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d fr

o

m

t

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v o

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r ate g

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i

n E

q

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i

o n 3 a n

d

t

h

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f

t

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y

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d

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M

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3. 1 L a

b

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S

et

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a

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f

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c

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y

o

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H V L P

s

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p

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h

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q

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as auto

m

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m

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e

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Sp

r ay

i

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d

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h

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w i

n

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a s 5-

f

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by

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f

eet

w i

t

h

a r e s u

l

t

in

g

cros s-s e ct

i

o n a

l

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f

2 5

s

q

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f

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e

d

e

p

t

h

o

f

t

h

e

w i

n

d

tu n ne

l w

as 8

f

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l

a r e

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fl

an

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p

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o a r

d

o n t

he

r e a r

w

a

l l

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w i

n

d

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ty

p

r o

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.

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a n

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p

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d

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b

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ve

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e

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M

SV

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F F m

o

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e

l

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V

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p

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#

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.

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m p

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iz e

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p

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iz e

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i

r

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f

e

d

to a

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ot,

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r

p

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t

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to

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s

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d

e

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r e

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ir

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d

to t

h

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q

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re

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w i

t

hi

n t

h

e

g

u n

F ig

u r e 3 s

h

o

w

s a s c

h

e

m

at

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p

r e s s u r

iz e

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ot

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e

H

V L

P

g

u n a

l lo

w

s

fo r

fa n

p

at te r n to

b

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d by

a

d

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g

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m

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t

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f

a n

p

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w

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2

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l li p

s e,

(15)

8

V

a c u u

m p

u

m p

o

il w

a s u s e

d

to s

i m

u

l

ate t

h

e

p

a

i

nt,

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h

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l d

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e u s e

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n t

hi

s

ex

p

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im

ent

d

ue to t

h

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pl

o s

i

on

p

ote nt

i

a

l

a s s o c

i

ate

d w it

h

t

h

e

p

mnt so

l

vents.

I

nste a

d

, v a c u u

m

p

u

m p

o

il w

a s s e

l

ecte

d b

e c a u s e

i

t

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s n o n v o

l

at

il

e,

i

n e x

p

e n s

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ve, a n

d h

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ph

ys

i

c a

l p

r o

p

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i

e s s

im i l

a r

to

p

a

i

nt.

T h

e

li q

u

i d

v

i

sc o s

it

y

o

f

the v acu u

m p

u

m p

o

il w

a s

d

e

p

e n

d

ent o n te

m p

e r atu r e a n

d

r a nge

d fr

o

m

ar o u n

d

64 to

6 8

ce nt

ip

o

i

s e t

h

r o ug

h

o ut t

h

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p

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im

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T h

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f

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i

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f

t

h

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o

il w

a s no t a v a

i l

a

b l

e

fr

o

m

t

h

e

m

a n u

f

a ctu r e r

b

ut

w

a s e st

i m

ate

d

a s 4 0 7

d

yn e s/c

m

.

T

h

e

m

a n ne

q

u

i

n u s e

d i

n the e x

p

er

im

ent sto o

d 5 1 i

n c

h

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h i gh

an

d m

e a su re

d 14 i

n c

h

e s

a c ro s s the c

h

e st

T h

e

m

ann e

q

u

i

n

w

a s n ot a nt

h

r o

p

o

m

etr

i

c

b

ut

w

a s tr u ncate

d

at t

h

e t

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s to

fi

t

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n t

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A

s s

h

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i

n

F i g

u r e 4

,

m

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w i

n

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l w

a s

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i

t

h

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p

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l l

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l

(

1 80

°

)

or

p

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l

a r

(

9 0°

)

w i

th t

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fl

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w i

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m

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8 i

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n the

w i

n

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n t

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18 0

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p

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it

i

o n, the

4 8 i

n c

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w

as

m

e a s u r e

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o

m

t

h

e

m

a n n e

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'

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b

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f

the

w i

n

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l

In t

h

e 9 0 °

p

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it

i

o n, t

h

e 4 8

i

n c

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e s

w

a s

m

e a s u r e

d fr

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m

t

h

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m

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fr

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n

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l

T

h

e

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V

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s

p

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y g

u n

w

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p l

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n t

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n '

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(

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o

w

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m

)

h

a n

d

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ig h

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i

n c

h

e s

fr

o

m

a

fl

at

pl

ate.

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e

fl

at

pl

ate c r e ate

d

a u n

i f

o r

m

a

i

r

j

et r e

b

ou n

d

an

d f

o r

m

e

d

a

re

p

ro

d

u c

ib l

e o v e rs

p

r a

y g

e n e r at

i

on r at e

W

h

e n t

h

e

m

a n n e

q

u

i

n

w

as stat

i

o n a r

y

, t

h

e s

p

r a

y p

at te r n

w

a s cente re

d

o n a

fl

at

p l

ate

3 f

e et

i

n

h

e

i g h

t

b y 2 f

e et

i

n

w i d

t

h

.

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a r

g

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p l

at e

w

as re

q

u

i

re

d

w h

en t

h

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m

an ne

q

u

i

n

w

as

i

n

m

otion

b

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m

ann e

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u

i

n

m

ove

d

t

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p

r a

y

g

un

h

o r

i

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ll

y a c ro s s t

h

e

pl

a te, t

h

e

p

at

h

o

f

t

h

e

m

a n n e

q

u

i

n '

s a r

m

e x c e e

d

e

d

t

h

e

w i d

t

h

o

f

t

h

e

s

m

a

l l

er

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ate

A 3

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by

-3-

f

oot

fl

at

p l

ate

w

a s u s e

d

to a s s e ss

m

ot

i

o n

.

A

c o

ll

e ct

i

on trou

g h w

a s

l

o c ate

d

u n

d

e r n eat

h

t

h

e

p l

ate.

O il

s

p

ra

y

e

d

onto t

h

e

p l

ate

d

r a

i

n e

d i

nto t

h

e tr ou

gh

.

A

s

q

u e e

g

e e

w

a s u s e

d

to r e

m

o v e a n

y

r e s

i d

u a

l fr

o

m

t

h

e

p l

ate.

T h

e

d if f

e r e n c e

i

n tr o u

g h w

e

i g h

t

b

e

f

o r e a n

d

a

ft

e r s

p

r ay

i

n

g d

ete r

m i

ne

d

the

m

a s s tr a n s

f

e r r e

d

to t

h

e

References

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