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ISSN Online: 2379-1748

8th Thermal and Fluids Engineering Conference (TFEC)
March, 26-29, 2023, College Park, MD, USA

ANALYSIS OF SPHERE OF INFLUENCE (SOI) AND PRESSURE DROP PARAMETER IN VOM-PHYS FRAMEWORK

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DOI: 10.1615/TFEC2023.app.045913

Abstract

Recent advancements in imaging and visualization technologies have resulted in detailed models of vasculature [10, 12]. Computational research to predict the vascular branching patterns and generate blood vessel networks has been rapidly growing [2, 5, 6, 8, 9, 11, 13, 14]. Mathematical distribution functions, like the Dirac distribution function, provide an alternative to simulate blood flow distribution from the terminal of a vessel to the tissue domain [1, 3, 4]. This distribution function introduces a Sphere of Influence (SoI) and pressure drop parameter (γ). The SoI and γ [1, 3] remain empirical values that have not been experimentally validated. Understanding these values and their effect on the Voxelised Multi-Physics Simulation (VoM-PhyS) framework [1] would provide insight into creating robust and accurate simulations. A simulation domain was generated such that the details of the vasculature can be changed to compare the two parameters. It was found that the SoI does not impact the blood flow rate significantly. The value of γ was found to affect the equivalent resistance of the network. The results indicate the existence of a range of γ value with which the total resistance of the entire blood flow network can be simulated using VoM-PhyS without requiring explicit modeling of the entire network.