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  3. Potential Flows of Viscous and Viscoelastic Liquids
  • Cited by 45
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2007
Online ISBN:
9780511550928
DOI:
https://doi.org/10.1017/CBO9780511550928
Subjects:
Engineering, Aerospace Engineering, Thermal-Fluids Engineering
Series:
Cambridge Aerospace Series (21)
Information

Book description

This book illustrates how potential flows enter into the general theory of motions of viscous and viscoelastic fluids. Traditionally, the theory of potential flow is presented as a subject called 'potential flow of an inviscid fluid'; when the fluid is incompressible these fluids are, curiously, said to be 'perfect' or 'ideal'. This type of presentation is widespread; it can be found in every book on fluid mechanics, but it is flawed. It is never necessary and typically not useful to put the viscosity of fluids in potential (irrotational) flow to zero. The dimensionless description of potential flows of fluids with a nonzero viscosity depends on the Reynolds number, and the theory of potential flow of an inviscid fluid can be said to rise as the Reynolds number tends to infinity. The theory given here can be described as the theory of potential flows at finite and even small Reynolds numbers.

Reviews

'I think that [it] is well worth the price … This is an invaluable book, because it is virtually impossible to find another one similar … I highly recommend [it] for anyone …'

Source: Proceedings of the Institution of Mechanical Engineers

'The book contains some interesting nuggets that I had not been previously aware of. … The authors have developed a nice method for computing viscous boundary layers near a free surface (nicely outlined in chapter 12), which they appear to demonstrate is quite accurate. … These different ideas are critically applied to many of the rich list of problems discussed in the book.'

Source: Journal of Fluid Mechanics

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