// multi-utility computation suite · offline · instant · precise
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med.pulsatile-flow-Womersley Calculator
Calculates the Womersley number for pulsatile blood flow in a vessel and estimates the velocity profile and flow rate waveform. The Womersley number determines whether flow is quasi-steady (Wo < 1) or strongly pulsatile (Wo >> 1) — aortic flow has Wo ≈ 20.
Inputs
R Mm
Distance from centre to edge of a circle. Radius = diameter / 2.
F Hz
Beats per minute. Normal resting: 60–100. During vigorous exercise: 150–185+ depending on fitness and age.
Mu Pa S
Fluid resistance to flow. Water at 20°C: ~1 cP. Honey: 2,000–10,000 cP. Higher viscosity increases pumping power requirements.
Dp Dx Pa M
Maximum displacement from equilibrium. Energy carried by a wave is proportional to amplitude squared.
Results
Womersley number α
Sample size or count used in the calculation.
Poiseuille (steady) flow Q (mL/s)
Reference formula or conversion factor shown for context.
pulsatile correction factor
A dimensionless multiplier applied in the calculation.
α = R√(ωρ/μ)
Reference formula or conversion factor shown for context.