development of numerical model to describe steady streaming in unsteady axisymmetric biological flow...
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![Page 1: Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section](https://reader035.vdocument.in/reader035/viewer/2022081507/551d9db7497959293b8db726/html5/thumbnails/1.jpg)
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Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Plan et objectifs du projet
• Etude de l’influence du nombre de Womersley sur les écoulements pulsés
• à travers un tube
• à travers un tube annulaire
• Modélisation numérique
• Ecoulements stationnaire: comparaison résultats analytiques / numériques
• Ecoulements instationnaire à travers un model annulaire
• Ecoulements instationnaire à travers une géométrie à sections variables
• Comparaison qualitative des zones de recirculation
![Page 3: Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section](https://reader035.vdocument.in/reader035/viewer/2022081507/551d9db7497959293b8db726/html5/thumbnails/3.jpg)
Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude de l’influence du nombre de Womersley sur les écoulements pulsés
Définition du problème:
Adimensionalisation
Conditions aux limites
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Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude de l’influence du nombre de Womersley sur les écoulements pulsés
Le cas du tube: Résultats et interprétations
• Déphasage par rapport au gradient de pression (sauf pour )
• Pour de grand Womersley, le profile n’a « pas le temps » de se développer
• Zone visqueuse au bord et non-visqueuse au centre
![Page 5: Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section](https://reader035.vdocument.in/reader035/viewer/2022081507/551d9db7497959293b8db726/html5/thumbnails/5.jpg)
Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude de l’influence du nombre de Womersley sur les écoulements pulsés
Le cas du tube annulaire: Résultats et interprétations:
![Page 6: Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section](https://reader035.vdocument.in/reader035/viewer/2022081507/551d9db7497959293b8db726/html5/thumbnails/6.jpg)
Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude numérique: Ecoulements stationnaires
Approche analytique: Approche numérique:
Adimensionalisation
Conditions aux limites
Longueur d’entrée:
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Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude numérique: Ecoulements stationnaires
![Page 8: Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section](https://reader035.vdocument.in/reader035/viewer/2022081507/551d9db7497959293b8db726/html5/thumbnails/8.jpg)
Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude numérique: Ecoulements instationnaire
Comparaison résultats Fluent avec la solution analytique
• Influence du pas de temps choisi sur la solution
• Influence de la valeur du résidu sur la solution
• Influence de la discrétisation du moment (Quick/Muscl) sur la solution
• Influence de l’ordre de discrétisation temporelle sur la solution
• Influence de la condition de sortie sur la solution
Configuration de base des conditions aux limites:
Velocity inlet
Mass flow rate
![Page 9: Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section](https://reader035.vdocument.in/reader035/viewer/2022081507/551d9db7497959293b8db726/html5/thumbnails/9.jpg)
Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude numérique: Ecoulements instationnaire
Influence du pas de temps:
Pas de temps = 0.1 Pas de temps = 0.05
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Development of Numerical Model to Describe Steady Streaming in Unsteady Axisymmetric Biological Flow in a Geometry with a Slowly Varying Cross-Section
Etude numérique: Ecoulements stationnaires