Pulsatile Flow in Rigid Tubes; Womersley Solution


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Pulsatile Flow in Rigid Tubes; Womersley Solution
Pulsatile Flow in Rigid Tubes; Womersley SolutionConsider the following problem. Given a pressure waveform and the geometry of the artery and some fluid characteristics, estimate the flow rate in terms of volume per time. This may be a pulsatile pressure waveform as is seen in the relatively larger arteries in humans. The blood flow rate is a measure of perfusion, or simply said, how much oxygen may be provided to the downstream, or distal tissues. Therefore, a mathematical model of flow rate under pulsatile conditions can be a very useful device.To estimate flow from a pulsatile driving pressure in rigid tubes, we will begin by assuming a Newtonian fluid, uniform, laminar, axially symmetric, pipe flow. This is similar to the Poiseuille flo…
Citation
Lee Waite, Ph.D., P.E.; Jerry Fine, Ph.D.: Applied Biofluid Mechanics, Second Edition. Pulsatile Flow in Rigid Tubes; Womersley Solution, Chapter (McGraw-Hill Professional, 2017), AccessEngineering Export