Weld ResultsYan Zhan

SUNY Stony Brook

June 13rd, 2013

1

Outline

• Studied Parameters

• Results Analysis

– Contours Plots For the Weld Region

– Axial Velocity Profile at Different Locations Near theWeld

– Plots of Turbulent Kinetic Energy and MomentumThickness Near the Weld

– Line Plot Goes From Inlet To Outlet

2

Studied Parameters

Name (Unit) Equation

Wall Shear Stress (𝑘𝑔/(𝑚 ∙ 𝑠2) ) 𝜏𝑤 = 𝜇

𝜕𝑈

𝜕𝑦𝑦=0

Friction Velocity (𝑚/𝑠)

𝑢𝜏 = 𝜏 𝜌

Turbulent Kinetic Energy (𝑚2/𝑠2)

𝑘 =1

2( 𝑢′ 2 + 𝑣′ 2 + (𝑤′)2)

Turbulent Dissipation Rate (𝑚2/𝑠3) 𝜖 ≡

𝜇

𝜌

𝜕𝑢′𝑖𝜕𝑥𝑘

𝜕𝑢′𝑖𝜕𝑥𝑘

Turbulence Intensity (%) 𝐼 ≡

𝑢′

𝑈𝑚𝑒𝑎𝑛=

2𝑘/3

𝑈2 + 𝑉2 + 𝑊2

Momentum Thickness (𝑚) 𝛿𝜃 =

𝑈

𝑈𝑚𝑎𝑥

𝑎

0

1 −𝑈

𝑈𝑚𝑎𝑥𝑑𝑟

3

Weld Region

4

Flow Flow 5

Flow Flow

6

7

X=0.0429 X=0.0435

X=0.045 X=0.05

8

X=0.0385 X=0.039

X=0.04065 (weld center) X=0.0423

9

X=0.025

X=0.03

X=0.035

X=0.038

10

Planes in the Vicinity of the Weld

Upstream place X=0.0430405

Downstream place X=0.0380405

Z = 0 (α = 0°)

𝛼 ↑

11

Upstream place X=0.0430405

𝜶 = 𝟎°

12

Downstream place X= 0.0380405

𝜶 = 𝟎°

13

At the Exit

α = 0°

14

Momentum Thickness At the Vicinity of the Weld

90o

60o

30o

0o

330o

300o270o

210o

120o

150o

180o

240o

0

1

2

3

90o

60o

30o

0o

330o

300o270o

210o

120o

150o

180o

240o

0

1

2

3

Upstream Plot Downstream Plot

15

Exit Plot

90o

60o

30o

0o

330o

300o270o

210o

120o

150o

180o

240o

0

1

2

3

16

Lines Go From Inlet to Outlet

Bottom Line

Top Line

17

S

Wa

llS

he

ar

Str

ess

(kg

/m*s

)

0 5 10 150

0.5

1

1.5

2

top

bottom

S: distance to the pipe inlet along the center line 18

s ~ 13 at weld

S

fric

tio

nve

locity

(m/s

)

0 5 10 150

0.002

0.004

0.006

0.008

0.01

0.012

top

bottom

19

S

Tu

rbu

len

tK

ine

tic

En

erg

y(m

2/s

2)

0 5 10 15

0

1E-05

2E-05

3E-05

4E-05

top

bottom

20

S

Tu

rbu

len

tD

issip

atio

nR

ate

(m2/s

3)

0 5 10 15

0

2000

4000

6000

8000

10000

12000

14000

16000

top

bottom

21

S

Aix

alV

elo

city

(m/s

)

0 5 10 15 20

0

5E-07

1E-06

1.5E-06

2E-06

2.5E-06

top

bottom

22