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法法法法法法法法法法法法法法法法法法 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

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Page 1: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

法洛氏四重症術後之肺動脈流場型態分析

Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot

Hung-Lin Wang

June 14, 2006

Page 2: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Outlines

• Introduction & research motivations• Governing equations• Mesh design and boundary setup• Analysis of flow patterns• Results & discussion• Conclusions

National Taiwan University of Science and Technology

Page 3: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

What is Tetralogy of Fallot (TOF)? This group includes: • Pulmonary stenosis • A ventricular septal defect • Overriding aorta (the main blood vessel from t

he heart to the entire body is somewhat displaced)

• Right ventricular hypertrophy

Page 4: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Tetralogy of Fallot (problem)

National Taiwan University of Science and Technology

http://www.lpch.org/DiseaseHealthInfo/HealthLibrary/cardiac/tf.html

Page 5: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Fundamental assumptions

• A fluid in the pulmonary artery is blood, but a fluid in this study is considered to be Newtonian and incompressible.

• The gravitational effect is neglected.• No heat source and heat transfer in the flow

field.

National Taiwan University of Science and Technology

Page 6: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Governing Equations

• Continuity equation :

• Navier-Stokes equation :

0 u

uuuu

P

t

1

National Taiwan University of Science and Technology

Page 7: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Boundary Setup

National Taiwan University of Science and Technology

inlet

outlet

0 T

systolic diastolic

ρ= 1060 kg m‧ -3

μ= 0.003 kg m‧ -1 s‧ -1

LPA

MPARPA

outlet

b/f = Qb/Qf

Qb : Backward volume in a cycle

Qf : Forward volume in a cycle

Tang, T., Chiu, I.S., Chen, H.C., Cheng, K.Y. and Chen, S.J., 2001, Comparison of pulmonary aterial flow phenomena in spiral and Lecompte models by computational fluid dynamics. The Journal of Thoracic and CardiovascularSurgery 122, pp. 529-534.

Page 8: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Mesh Design

National Taiwan University of Science and Technology

Mesh Number : Mesh Number : 7290072900

Solid-WorksTM

CFD GEOM

CFD ACE

Model design

Mesh design

Boundary setup

Page 9: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Analysis of flow patterns

Page 10: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

28.5

Page 11: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

76.5

Page 12: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

72.6

Page 13: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

16.8

Page 14: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

08.10

Page 15: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

b/f = 0.009 b/f = 0.26

Page 16: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

The flow patterns at different diameters of LPA when b/f = 0.522

Page 17: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

8.4

Page 18: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

28.5

Page 19: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

2.7

Page 20: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

8.8

Page 21: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

6.9

Page 22: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

08.10

Page 23: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

b/f = 0.522

DL = 10 mm DL = 6 mm

Page 24: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Analysis of 3D streamlines

Page 25: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

28.5

Page 26: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

16.8

Page 27: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

12.9

Page 28: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Tt10

08.10

Page 29: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Results and discussion

Page 30: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

The results of b/f

Page 31: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

The difference of netflow between LPA and RPA

National Taiwan University of Science and Technology

LPA angle(θ) = 107o LPA angle(θ) = 95o

Page 32: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Effects of angle between LPA and MPA

Page 33: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

Variation of LPA and RPA b/f ratio with b/f of MPA

N : number of patientsbi : mesured valuepi : predicted value

519.0

RMSE Error, Square-MeanRoot :

Page 34: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

The relation of b/f in MPA and RPA

259.0

Page 35: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

National Taiwan University of Science and Technology

The relation of b/f in MPA and LPA

717.1

Page 36: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Conclusions (1)

National Taiwan University of Science and Technology

• We use predicted flow patterns to explain why the b/f of LPA is higher than RPA. It is because the duration of regurgitation in LPA is longer than RPA.

• We can know if the b/f of MPA increases, so will b/fs of LPA and RPA.

• The difference of netflow between LPA and RPA is tiny when the b/f of MPA is low. On the contrast, the difference of netflow between LPA and RPA will increase if the b/f of MPA is raised.

Page 37: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

• The b/f of LPA is higher than RPA both in this study and the mesured data of the hospital.

• The b/f of LPA will decrease if the angle between LPA and MPA increased.

• The variation of b/f ratio of LPA and RPA is not obvious when the b/f of MPA is greater than 0.2.

Conclusions (2)

National Taiwan University of Science and Technology

Page 38: 法洛氏四重症術後之肺動脈流場型態 分析 Analysis of flow patterns in pulmonary artery after repair of Tetralogy of Fallot Hung-Lin Wang June 14, 2006

Thanks for your patience

National Taiwan University of Science and Technology