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The Reynolds and Womersley Numbers are also used to calculate the thicknesses of the boundary layers that can form from the fluid flow’s viscous effects. The Reynolds number is used to calculate the convective inertial boundary layer thickness that can form, and the Womersley number is used to calculate the transient inertial boundary thickness that can form.
The Womersley number (or ) is a dimensionless number in biofluid mechanics and biofluid dynamics. It is a dimensionless expression of the pulsatile flow frequency in relation to viscous effects . It is named after John R. Womersley (1907–1958) for his work with blood flow in arteries . [ 1 ]
Because most anthropometric formulas such as the Durnin-Womersley skinfold method, [18] the Jackson-Pollock skinfold method, and the US Navy circumference method, actually estimate body density, not body fat percentage, the body fat percentage is obtained by applying a second formula, such as the Siri or Brozek described in the above section on ...
Would anyone oppose me adding the most popular formulas for calculating body density from skin folds, such as Jackson & Pollock, Parillo, and Durnin & Wormersly? -- BBUCommander ( talk ) 03:53, 7 March 2014 (UTC) [ reply ]
The flow profiles was first derived by John R. Womersley (1907–1958) in his work with blood flow in arteries. [1] The cardiovascular system of chordate animals is a very good example where pulsatile flow is found, but pulsatile flow is also observed in engines and hydraulic systems , as a result of rotating mechanisms pumping the fluid.
The Strouhal number may also be used to obtain the Womersley number (Wo). The case for blood flow can be categorized as an unsteady viscoelastic flow, therefore the Womersley number is [8] =, Or considering both equations,
Blood flow in small vessels, such as capillaries, is characterized by small Reynolds and Womersley numbers. A vessel of diameter of 10 µm with a flow of 1 millimetre/second , viscosity of 0.02 poise for blood, density of 1 g/cm 3 and a heart rate of 2 Hz , will have a Reynolds number of 0.005 and a Womersley number of 0.0126.
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