EFFECT OF INLET VELOCITY PROFILE AND ENTRANCE LENGTH ON ABDOMINAL AORTIC ANEURYSM HEMODYNAMICS SIMULATIONS

Year 2023, Volume: 43 Issue: 2, 159 - 174, 17.11.2023

Burcu Ramazanlı Cüneyt Sert , M. Metin Yavuz

https://doi.org/10.47480/isibted.1391391

Abstract

In computational Abdominal Aortic Aneurysm (AAA) hemodynamics studies, along with adjusting the problem geometry, mesh, transport, turbulence and rheology models; setting up boundary conditions (BC) is also a very important step which affect the reliability and accuracy of the hemodynamic assessment. The transient effects of physiological flow are well described by the Womersley profile, though its application might be difficult due to the complex nature of functions involved. Conversely, in literature, studies utilizing Plug or Parabolic profiles as inlet boundary conditions generally requires large entrance lengths to obtain the exact characteristics of the Womersley profile. In the current study, the differences arising between those boundary conditions, Womersley, Parabolic and Plug, with different entrance lengths, L_(ent )=D,3D and 11D, are examined by comparing the results with a Base condition, which is a solution obtained with ensured fully-developed flow before entering the aneurysm sac at two physiological flow conditions with mean Reynolds numbers, 〖Re〗_m=340 and 1160. The results reveal that with increasing mean flow rate, applying the complex Womersley equation might not be necessary. For the inlet flow waveform with 〖Re〗_m=1160, the Parabolic profile can be used instead of the Womersley profile by supplying an entrance length L_(ent )= 3D. On the other hand, the Plug profile requires an entrance length at least L_(ent )= 11D to replicate the Base condition for waveform with 〖Re〗_m=340.

Keywords

Abdominal aortic aneurysm hemodynamics, Womersley profile, Wall shear stress parameters

GİRİŞ HIZ PROFİLİ VE GİRİŞ UZUNLUĞUNUN ABDOMİNAL AORT ANEVRİZMASI HEMODİNAMİĞİ SİMÜLASYONLARINA ETKİSİ

Abstract

Hesaplamalı Abdominal Aort Anevrizması (AAA) hemodinamiği çalışmalarında problem geometrisi, ağ, taşıma, türbülans ve reoloji modellerinin ayarlanması ile birlikte; sınır koşullarının (BC) belirlenmesi de hemodinamik değerlendirmenin güvenilirliğini ve doğruluğunu etkileyen çok önemli bir adımdır. Fizyolojik akışın geçici etkileri, Womersley profili tarafından iyi bir şekilde tarif edilir, ancak ilgili fonksiyonların karmaşık doğası nedeniyle bu profilin uygulanması zor olabilir. Öte yandan, giriş sınır koşulu olarak Plug veya Parabolik hız profilleri kullanan çalışmalar, Womersley profilinin tam özelliklerini elde etmek için genellikle büyük giriş uzunlukları kullanırlar. Bu çalışmada, Womersley, Parabolik ve Plug hız profilleri ve üç ayrı giriş uzunluğu kullanılarak (L_(ent )=D,3D and 11D) anevrizma içerisinde hemodinamik parametreler elde edilmiş ve sonuçlar Base koşul ile karşılaştırılarak incelenmiştir. Base koşulu, ortalama Reynolds sayıları 〖Re〗_m=340 ve 1160 olan iki fizyolojik akış koşulunda, anevrizma içine girmeden önce sağlanan tam gelişmiş akışla elde edilen bir çözümdür. Sonuçlar, ortalama debi arttıkça, karmaşık Womersley denkleminin uygulanmasının gerekli olmayabileceğini ortaya koymaktadır. 〖Re〗_m=1160 olan giriş debi profili için, en az L_(ent )= 3D olan bir giriş uzunluğu sağlanarak Womersley profili yerine Parabolik profil kullanılabilir. Öte yandan, 〖Re〗_m=340 olan debi profil için, Plug profilinin Womersley profili yerine kullanılması için en az L_(ent )= 11D olan bir giriş uzunluğu gereklidir.

Keywords

Abdominal aort anevrizması hemodinamiği, Womersley profili, Duvar kayma gerilmesi parametreleri, Girdap tanımlama yöntemleri

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