Three-dimensional uniform flow in an oxygenator
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Abstract
A fully established three-dimensional blood flow in a uniform, rectangular channel with a moving wall (membrane) is calculated by using an implicit finite-difference approximation to the Navier-Stokes equations. The strength of the secondary flow, which provides a mechanism for the enhancement of oxygen transfer, is controlled by the relative motion between the membrane and the channel. The calculations simulate uniform flow establishment from rest, with and without secondary flow in a long channel.
Keywords
Secondary Flow Longitudinal Velocity Rectangular Channel Fluid Limit Coiled TubeSommaire
On calcule le courant sanguin tri-dimensionel bien établi dans un canal rectangulaire uniforme à paroi mobile (membrane) en utilisant une approximation implicite de différence définie des équations Navier-Stokes. La force de l'écoulement secondaire qui fournit un mécanisme pour l'enrichissement du transfert d'oxygène, est controlée par le mouvement relatif entre la membrane et le canal. Les calculs simulent l'établissement d'un courant uniforme de l'état stationnaire, avec et sans écoulement secondaire dans un canal long.
Zusammenfassung
Es wird ein voll angelegter, dreidimensionaler Blutstrom in einem gleichförmigen, rechteckigen Kanal mit einer beweglichen Wand (Membrane) unter Anwendung einer impliziten Annäherung mit endlichem Unterschied an die Navier-Stokes Gleichungen berechnet. Die Stärke des Sekundärstroms, der einen Mechanismus für die Steigerung des Sauerstoffüberganges verursacht, wird durch die relative Bewegung zwischen der Membrane und dem Kanal geregelt. Die Berechnungen simulieren Herstellung gleichförmigen Stroms vom Ruhestand, mit und ohne Sekundärstrom, in einem langen Kanal.
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