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Technical Note

An analytical formula for the Lagrange time intwo-dimensional potential flow

Published online by Cambridge University Press:  04 July 2016

W. C. Hassenpflug
W. C. Hassenpflug*
Affiliation:
Department of Mechanical Engineering University of Stellenbosch South Africa
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Extract

Two-dimensional potential flow expressed by means ofthe complex potential function uses Eulercoordinates, i.e. a fixed point approach. However,there are many cases where the identical particletime is required, for example the settling time ofsuspended particles, heat convection (because inincompressible potential flow the heat and flowequations are uncoupled), and dispersion of fluidparticles due to distortion.

In real variables the differential equation for theLagrange time is generally too complicated becauseit involves two coordinates as functions of time. Inthe following a differential equation of singlecomplex variable is derived.

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 100 , Issue 992 , February 1996 , pp. 75 - 76
Copyright
Copyright © Royal Aeronautical Society 1996 

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References

1. Prandtl, L. and Tietjens, O.G. Fundamentals of Hydrodynamics and Aerodynamics, Dover, New York, 1957.Google Scholar
2. Tietjens, O.G. Strömungslehre, Vol I, Springer, Berlin, 1960.Google Scholar
3. Milne-Thomson, L.M. Theoretical Hydrodynamics, 5th Edition, Macmillan, London, 1968.Google Scholar