Dimensionless expression of the pulsatile flow frequency in relation to viscous effects
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] The Womersley number is important in keeping dynamic similarity when scaling an experiment. An example of this is scaling up the vascular system for experimental study. The Womersley number is also important in determining the thickness of the boundary layer to see if entrance effects can be ignored.
The square root of this number is also referred to as Stokes number, , due to the pioneering work done by Sir George Stokes on the Stokes second problem.
^Womersley, J.R. (March 1955). "Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known". J. Physiol. 127 (3): 553–563. doi:10.1113/jphysiol.1955.sp005276. PMC 1365740. PMID 14368548.
The Womersleynumber ( α {\displaystyle \alpha } or Wo {\displaystyle {\text{Wo}}} ) is a dimensionless number in biofluid mechanics and biofluid dynamics...
{\text{St}}={\dfrac {\text{De}}{\text{Wi}}}} . The Strouhal number may also be used to obtain the Womersleynumber (Wo). The case for blood flow can be categorized...
variations is known as pulsatile flow, or as Womersley flow. The flow profiles was first derived by John R. Womersley (1907–1958) in his work with blood flow...
can predict the transient boundary layer thickness by finding the WomersleyNumber ( N w {\displaystyle N_{w}} ). Transient Force = ρ v w {\displaystyle...
Peter Womersley (24 June 1923 – 1993) was a British architect, best known for his work in the modernist style. He lived in the Scottish Borders, where...
Reynolds number of the model and the prototype must match. There are other dimensionless numbers that will also come into consideration, such as Womersley number...
Dimensional analysis is used to rearrange the units to form the Reynolds number ( R e {\displaystyle R_{e}} ) and pressure coefficient ( C p {\displaystyle...
diagonals give common symbols for the quantities, and the given dimensionless number is the ratio of the left column quantity over top row quantity; e.g. Re...
on the valve. The Womersleynumber, or alpha parameter, is another dimensionless parameter like the Prandtl number or Reynolds number that has been used...
doi:10.1016/S0029-5493(99)00005-9. Weissenberg number Archived 2006-11-01 at the Wayback Machine Womersleynumber Archived 2009-03-25 at the Wayback Machine...
Bellman Prize-Elsevier (2020–2021), he pointed out the influence of Womersleynumber and occlusion on flow characteristics in small blood arteries, providing...
of 2 Hz, will have a Reynolds number of 0.005 and a Womersleynumber of 0.0126. At these small Reynolds and Womersley numbers, the viscous effects of...
finally Gibbon's father, already "in despair," had had enough. David Womersley has shown, however, that Gibbon's claim to having been converted by a...
Herbert Greenwood Womersley MC (1 April 1896 – 23 January 1962) was a World War I flying ace credited with five aerial victories. Womersley trained as a cadet...
after publication. The complexities of the problem are addressed in Womersley's introduction and appendices to his complete edition. In-print complete...
relations such as the Reynolds number and Womersleynumber can be used to describe flow in early vasculature. The low Reynolds number present in all early vessels...
killer's day out". BBC News. 12 July 2007. Retrieved 5 November 2021. Womersley, Tara (14 June 2001). "Child killer gets life for 1978 death of teenager"...
3: 49–71. The latest complete edition in 3 volumes was edited by David Womersley, and published by Allen Lane (London) and Penguin Press (New York) in...
university and the city corporation commissioned Hugh Wilson and Lewis Womersley to produce a new plan for the campus. The final report was issued in 1966;...
detailed and, according to John R. Womersley, Superintendent of the NPL Mathematics Division, it "contains a number of ideas which are Dr. Turing's own"...
Vecchio, Brazil – director of shooting Andrea Aguilar, Guatemala Susanne Womersley, Australia Christophe Pezet, France Hannah Brown, Great Britain Pecilius...
become Mitre 10's founders – Tom Molomby, Tom Danaher, Reg Buchanan, Jack Womersley, Ian Nisbet, Bill Davey and Bill Wilson – held at Buchanan's home in Balwyn...
Charlotte Roueché, historian of late antiquity at King's College London David Womersley, Fellow and Tutor at Jesus College, Oxford and editor of Edward Gibbon's...
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