Flow Kinematics

  • Chung FangEmail author
Part of the Springer Textbooks in Earth Sciences, Geography and Environment book series (STEGE)


The topics which may be deduced about the nature of a flowing fluid without referring to the dynamics of continuum are explored in this chapter. First, the flow lines embracing streamlines, pathlines, and streaklines are discussed. These flow lines are not only useful for flow visualization, but also supply means by which solutions to governing equations of flow problems may be interpreted physically. Second, the concepts of circulation and vorticity are introduced, with their full usefulness becoming apparent in discussing the balance equations of fluid motion. Streamline and vorticity lead to the concepts of stream tube and stream filament, and vortex tube and vortex filament, respectively. Discussions on the kinematics of stream and vortex filaments are provided at the end, which consists part of the Helmholtz equations. The other part, i.e., the dynamics of vorticity, will be discussed in Sect.  8.1.

Further Reading

  1. R.S. Brodkey, The Phenomena of Fluid Motions (Dover, New York, 1967)Google Scholar
  2. Y.A. Cengel, J.M. Cimbala, Fluid Mechanics: Fundamentals and Applications, 3rd edn. (McGraw-Hill, New York, 2014)Google Scholar
  3. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961)zbMATHGoogle Scholar
  4. I.G. Currie, Fundamental Mechanics of Fluids, 2nd edn. (McGraw-Hill, Singapore, 1993)zbMATHGoogle Scholar
  5. D.F. Elger, B.C. Williams, C.T. Crowe, J.A. Roberson, Engineering Fluid Mechanics, 10th edn. (Wiley, Singapore, 2014)Google Scholar
  6. R.W. Fox, P.J. Pritchard, A.T. McDonald, Introduction to Fluid Mechanics, 7th edn. (Wiley, New York, 2009)zbMATHGoogle Scholar
  7. K. Hutter, Y. Wang, Fluid and Thermodynamics. Volume 1: Basic Fluid Mechanics (Springer, Berlin, 2016)Google Scholar
  8. H. Lamb, Hydrodynamics, 6th edn. (Dover, New York, 1945)zbMATHGoogle Scholar
  9. B.R. Munson, D.F. Young, T.H. Okiishi, Fundamentals of Fluid Mechanics, 3rd edn. (Wiley, New York, 1990)zbMATHGoogle Scholar
  10. R.H.F. Pao, Fluid Mechanics (Wiley, New York, 1961)Google Scholar
  11. A.J. Smith, A Physical Introduction to Fluid Mechanics (Wiley, New York, 2000)Google Scholar
  12. C.S. Yih, Fluid Mechanics: A Concise Introduction to the Theory (McGraw-Hill, New York, 1969)Google Scholar

Copyright information

© Springer International Publishing AG 2019

Authors and Affiliations

  1. 1.Department of Civil EngineeringNational Cheng Kung UniversityTainanTaiwan

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