Fluid Motion: More on Kinematics

  • C. Pozrikidis


We continue the study of kinematics by considering, in more detail, the behavior of fluid parcels, by deriving expressions for the volumetric and mass flow rate across surfaces drawn in a fluid, and by developing numerical methods for evaluating kinematical variables defined in terms of derivatives or integrals of the velocity. Conservation of mass required by thermodynamics, and physical conditions imposed at boundaries introduce mathematical constraints that motivate the description of a flow in terms of ancillary functions that expedite analysis and numerical computation.


Mass Flow Rate Stream Function Point Particle Deformation Tensor Material Derivative 


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • C. Pozrikidis
    • 1
  1. 1.University of CaliforniaSan Diego, La JollaUSA

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