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FLOW PAST A SPHERE

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Page 1: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE

Page 2: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

290 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 3: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 291

Imag

e ID

: S

PH

ER

-01

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

mli

ne p

atte

rn a

roun

d a

sphe

re (

R=

9.15

)N

otes

:

Sta

tic

wat

erta

nk e

xper

imen

t.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

Dia

met

er o

f th

e sp

here

d =

19.8

. S

tead

y fl

ow.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: S

pher

e, A

xial

sym

met

ry

Page 4: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

292 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 5: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 293

Imag

e ID

: S

PH

ER

-02

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

mli

ne p

atte

rn a

roun

d a

sphe

re (

R=

17.9

)N

otes

:

Sta

tic

wat

erta

nk e

xper

imen

t.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

Dia

met

er o

f th

e sp

here

d =

19.8

. S

tead

y fl

ow.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: S

pher

e, A

xial

sym

met

ry

Page 6: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

294 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 7: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 295

Imag

e ID

: S

PH

ER

-03

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

mli

ne p

atte

rn a

roun

d a

sphe

re (

R=

26.8

)N

otes

:

Sta

tic

wat

erta

nk e

xper

imen

t.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

Dia

met

er o

f th

e sp

here

d =

19.8

. S

tead

y fl

ow.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: S

pher

e, A

xial

sym

met

ry

Page 8: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

296 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 9: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 297

Imag

e ID

: S

PH

ER

-04

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

mli

ne p

atte

rn a

roun

d a

sphe

re (

R=

37.7

)N

otes

:

Sta

tic

wat

erta

nk e

xper

imen

t.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

Dia

met

er o

f th

e sp

here

d =

19.8

. S

tead

y fl

ow.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n, S

pira

l ri

ng

Page 10: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

298 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 11: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 299

Imag

e ID

: S

PH

ER

-05

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

mli

ne p

atte

rn a

roun

d a

sphe

re (

R=

73.6

)N

otes

:

Sta

tic

wat

erta

nk e

xper

imen

t.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

The

dia

met

er o

f th

e sp

here

d =

19.8

. S

tead

y fl

ow.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n, V

orte

x ri

ng

Page 12: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

300 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 13: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 301

Imag

e ID

: S

PH

ER

-06

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

mli

ne p

atte

rn a

roun

d a

sphe

re (

R=

118)

Not

es

: S

tati

c w

ater

tank

exp

erim

ent.

Str

eam

line

pat

tern

vis

uali

zed

by s

uspe

ndin

g al

umin

um p

owde

r.

D

iam

eter

of

the

sphe

re d

=19

.8.

Ste

ady

flow

.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n, V

orte

x ri

ng

Page 14: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

302 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 15: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 303

Imag

e ID

: S

PH

ER

-07

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

k sh

eet

arou

nd a

sph

ere

(R=

104)

Not

es

: S

tati

c w

ater

tank

exp

erim

ent.

Str

eak

shee

t pa

tter

n is

vis

uali

zed

by p

utti

ng c

onde

nsed

mil

k.

D

iam

eter

of

the

sphe

re d

=15

.1.

Ste

ady

flow

.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n, V

orte

x ri

ng

Page 16: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

304 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 17: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 305

Imag

e ID

: S

PH

ER

-08

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

trea

k sh

eet

arou

nd a

sph

ere

(R=

202)

Not

es

: S

tati

c w

ater

tank

exp

erim

ent.

Str

eak

shee

t pa

tter

n is

vis

uali

zed

by p

utti

ng c

onde

nsed

mil

k.

D

iam

eter

of

the

sphe

re d

=19

.8.

Ste

ady

flow

.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: P

hysi

cal

Soc

iety

of

Japa

nR

epro

duce

d fr

om:

S.T

aned

a: J

. Phy

s. S

oc. J

pn, V

ol.1

1, N

o.10

(19

56)

1104

.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eak

shee

tS

hape

fea

ture

s :

Sph

ere,

Sep

arat

ion,

Vor

tex

ring

Page 18: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

306 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 19: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 307

Imag

e ID

: S

PH

ER

-09

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: W

ake

of a

oil

dro

ps f

alli

ng f

reel

y in

a s

tati

c w

ater

Not

es

: S

tati

c w

ater

tank

exp

erim

ent.

The

oil

dro

p of

car

bon

tetr

achl

orid

e co

lore

d by

flu

ores

cein

.

D

iam

eter

of

the

drop

d =

5mm

. F

alli

ng s

peed

is

9.6c

m/s

. R

= 5

50.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

195

6C

opyr

ight

: N

orth

-Hol

land

Rep

rodu

ced

from

: T

heor

etic

al a

nd A

ppli

ed M

echa

nics

,

e

d. F

.I.N

iord

son

& N

.Olh

off

(Nor

th-H

olla

nd,A

mst

erda

m,1

985)

399.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, S

pira

l, P

erio

dici

ty

Page 20: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

308 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 21: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 309

Imag

e ID

: S

PH

ER

-10

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: W

ake

of a

sph

ere

(R=

2300

0)N

otes

:

Win

d-tu

nnne

l ex

peri

men

t.

V

isua

lize

d by

sm

oke

of t

itan

ium

tet

rach

lori

de.

Dia

met

er o

f th

e sp

here

is

33cm

. W

ind

velo

city

is

1m/s

.

T

he w

ake

perf

orm

s a

wav

y m

otio

n.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

197

8C

opyr

ight

: C

ambr

idge

Uni

vers

ity

Pre

ssR

epro

duce

d fr

om:

S.T

aned

a: J

. Flu

id M

ech.

, Vol

.85,

par

t1 (

1978

) 18

7.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n, P

erio

dici

ty

Page 22: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

310 FLOW VISUALIZATION: SCIENTIFIC IMAGES

Page 23: FLOW PAST A SPHERE · 290 FLOW VISUALIZATION: SCIENTIFIC IMAGES. FLOW PAST A SPHERE 291 Image ID : SPHER-01 Data Base Name : FLOW-VIS Input by : S. Taneda Input on y/m/d : 1998

FLOW PAST A SPHERE 311

Imag

e ID

: S

PH

ER

-11

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: W

ake

of a

sph

ere

(R=

5800

00)

Not

es

: W

ind-

tunn

nel

expe

rim

ent.

Vis

uali

zed

by s

mok

e of

tit

aniu

m t

etra

chlo

ride

.

T

he d

iam

eter

of

the

sphe

re i

s 33

cm.

Win

d ve

loci

ty i

s 25

m/s

.

T

he w

ake

cons

ists

of

two

tong

ilud

ind

vort

ices

wit

hout

vib

rati

on.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

197

8C

opyr

ight

: C

ambr

idge

Uni

vers

ity

Pre

ssR

epro

duce

d fr

om:

S.T

aned

a: J

. Flu

id M

ech.

, Vol

.85,

par

t1 (

1978

) 18

7.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n

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FLOW PAST A SPHERE 313

Imag

e ID

: S

PH

ER

-12

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: F

low

aro

und

a sp

here

(R

=23

000)

Not

es

: W

ind-

tunn

nel

expe

rim

ent.

Vis

uali

zed

by s

mok

e of

tit

aniu

m t

etra

chlo

ride

.

D

iam

eter

of

the

sphe

re i

s 33

cm.

Win

d ve

loci

ty i

s 1m

/s.

The

sm

oke

inje

cted

fro

m t

he r

ear

end

of t

he s

pher

e.

T

he s

epar

atio

n po

int

is a

t 85

˚.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

197

8C

opyr

ight

: C

ambr

idge

Uni

vers

ity

Pre

ssR

epro

duce

d fr

om:

S.T

aned

a: J

. Flu

id M

ech.

, Vol

.85,

par

t1 (

1978

) 18

7.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n

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314 FLOW VISUALIZATION: SCIENTIFIC IMAGES

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FLOW PAST A SPHERE 315

Imag

e ID

: S

PH

ER

-13

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: F

low

aro

und

a sp

here

(R

=58

0000

)N

otes

:

Win

d-tu

nnne

l ex

peri

men

t.

V

isua

lize

d by

sm

oke

of t

itan

ium

tet

rach

lori

de.

Dia

met

er o

f th

e sp

here

is

33cm

. W

ind

velo

city

is

1m/s

.

T

he s

mok

e in

ject

ed f

rom

the

rea

r en

d of

the

sph

ere.

The

sep

arat

ion

poin

t is

at

abou

t 14

0˚.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

197

8C

opyr

ight

: C

ambr

idge

Uni

vers

ity

Pre

ssR

epro

duce

d fr

om:

S.T

aned

a: J

. Flu

id M

ech.

, Vol

.85,

par

t1 (

1978

) 18

7.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, S

epar

atio

n

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316 FLOW VISUALIZATION: SCIENTIFIC IMAGES

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FLOW PAST A SPHERE 317

Imag

e ID

: S

PH

ER

-14

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: N

ear

dow

nstr

eam

of

a sp

here

mov

ing

hori

zont

ally

in

a st

rati

fied

flu

idN

otes

:

Den

sity

str

atif

icat

ion

in t

he s

alt

wat

er.

Str

eak

shee

t vi

sual

ized

by

the

elec

trol

ytic

pre

cipi

tati

on m

etho

d.

T

he d

iam

eter

of

the

sphe

re i

s 3c

m.

R =

266

.

T

he w

ake

perf

orm

s w

avy

mot

ion

wit

hin

hori

zont

al.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

198

8C

opyr

ight

: S

. Tan

eda

Rep

rodu

ced

from

: S

. Tan

eda:

Flu

id D

ynam

ics

Lea

rned

fro

m I

mag

es (

Asa

kura

-Sho

ten,

198

8)

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, In

tegr

ated

str

eaks

heet

Sha

pe f

eatu

res

: S

pher

e, V

orte

x st

reet

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FLOW PAST A SPHERE 319

Imag

e ID

: S

PH

ER

-15

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: F

ar d

owns

trea

m o

f a

sphe

re m

ovin

g ho

rizo

ntal

ly i

n a

stra

tifi

ed f

luid

Not

es

: D

ensi

ty s

trat

ific

atio

n in

the

sal

t w

ater

.

S

trea

k sh

eet

visu

aliz

ed b

y th

e el

ectr

olyt

ic p

reci

pita

tion

met

hod.

Dia

met

er o

f th

e sp

here

is

3cm

. R

= 2

66.

The

wak

e fo

rms

a vo

rtex

str

eet

sim

ilar

to

the

Kar

man

’s v

orte

x st

reet

wit

hin

hori

zont

al p

lane

.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

198

8C

opyr

ight

: S

. Tan

eda

Rep

rodu

ced

from

: S

. Tan

eda:

Flu

id D

ynam

ics

Lea

rned

fro

m I

mag

es (

Asa

kura

-Sho

ten,

198

8)

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

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FLOW PAST A SPHERE 321

Imag

e ID

: S

PH

ER

-16

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: S

ide

view

of

the

wak

e of

a s

pher

e m

ovin

g ho

rizo

ntal

ly i

n st

rati

fied

flu

idN

otes

:

Den

sity

str

atif

icat

ion

in t

he s

alt

wat

er.

Str

eak

shee

t vi

sual

ized

by

the

elec

trol

ytic

pre

cipi

tati

on m

etho

d.

D

iam

eter

of

the

sphe

re i

s 3c

m.

R =

266

.

T

he w

ake

con

fine

d in

a h

oriz

onta

l la

yer

as t

hick

as

the

diam

eter

of

the

sphe

re.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

198

8C

opyr

ight

: S

. Tan

eda

Rep

rodu

ced

from

: S

. Tan

eda:

Flu

id D

ynam

ics

Lea

rned

fro

m I

mag

es (

Asa

kura

-Sho

ten,

198

8)

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, S

trea

k sh

eet

Sha

pe f

eatu

res

: S

pher

e, V

orte

x st

reet

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FLOW PAST A SPHERE 323

Imag

e ID

: S

PH

ER

-17

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: E

xtre

mel

y l

ow R

eyno

lds

num

ber

flow

pas

t tw

o sp

here

s ar

rang

ed i

n t

he

stre

amw

ise

dire

ctio

n (ε

=d)

Not

es

: G

lyce

rine

.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

Dia

met

er o

f th

e sp

here

d =

15.

9mm

.

Cle

aran

ce b

etw

een

the

two

sphe

res

ε =

15.

9mm

. R

= 0

.011

.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

197

9C

opyr

ight

: ph

ysic

al S

ocie

ty o

f Ja

pan

Rep

rodu

ced

from

: S

.Tan

eda:

J. P

hys.

Soc

. Jpn

, Vol

.46,

No.

6 (1

979)

193

5.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: C

ylin

der,

For

e-an

d-af

t sy

mm

etry

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FLOW PAST A SPHERE 325

Imag

e ID

: S

PH

ER

-18

Dat

a B

ase

Nam

e :

FL

OW

-VIS

Inpu

t by

: S

. Tan

eda

Inpu

t on

y/m

/d :

199

8. 1

1. 2

5Im

age

Tit

le

: E

xtre

mel

y l

ow R

eyno

lds

num

ber

flow

pas

t tw

o sp

here

s ar

rang

ed i

n t

he

st

ream

wis

e di

rect

ion

( ε

=0)

Not

es

: G

lyce

rine

.

S

trea

mli

ne p

atte

rn v

isua

lize

d by

sus

pend

ing

alum

inum

pow

der.

Dia

met

er o

f th

e sp

here

d =

15.

9mm

.

Cle

aran

ce b

etw

een

the

two

sphe

res

ε =

0,

R =

0.0

08.

Aut

hor

: S

. Tan

eda

Pub

lish

ed i

n :

197

9C

opyr

ight

: ph

ysic

al S

ocie

ty o

f Ja

pan

Rep

rodu

ced

from

: S

.Tan

eda:

J. P

hys.

Soc

. Jpn

, Vol

.46,

No.

6 (1

979)

193

5.

Res

earc

h F

ield

: F

luid

dyn

amic

sE

xpre

ssed

as

: T

race

r ph

otog

raph

, Str

eam

line

Sha

pe f

eatu

res

: C

ylin

der,

Spi

ral,

For

e-an

d-af

t sy

mm

etry