{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/65020"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/65020","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Pulsatile blood flow in the arteries","abstract":"The present study develops the unsteady, nonlinear, two-dimensional partial differential equations for pulsatile flow in a flexible tube. The fluid is assumed to be a Newtonian, incompressible liquid similar to blood. The vessel is modeled as circular in cross section and tapering with increasing distance from the heart. The governing equations are solved numerically using a finite difference form of the Navier-Stokes equations and the Alternating Direction Implicit method. 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