Park C.S.Payne S.J.STEPHEN JOHN PAYNE2022-05-242022-05-242009https://www.scopus.com/inward/record.uri?eid=2-s2.0-77951016504&doi=10.1109%2fIEMBS.2009.5333687&partnerID=40&md5=8ca40f08dd32b0b3db0d9977e44370b9https://scholars.lib.ntu.edu.tw/handle/123456789/611841In this paper, a power series and a Fourier series approach is used to solve the governing equations of motion in an elastic axi-symmetric vessel, assuming that blood is an incompressible Newtonian fluid. The time averaged flow has shown to be greater than the steady state flow leading to a larger wall shear stress. Oscillations can also be observed, which is not present in the steady state solution. This is due to the nonlinear momentum terms causing interaction between the harmonics. ?2009 IEEE.Equations of motionFourier seriesNewtonian liquidsShear stressGoverning equations of motionIncompressible Newtonian fluidMomentum termPeriodic flowSteady state solutionSteady-state flowsTime-averaged flowWall shear stressShear flowconference paper10.1109/IEMBS.2009.53336872-s2.0-77951016504