Fundamental Balance Relations

  • Jay D. Humphrey
  • Sherry L. Delange
Chapter

Abstract

Recall from Chapter 1 that one of the best-known equations in science is F = m a, which is called Newton’s second law of motion. This equation asserts that in an inertial frame of reference, the time rate of change of the linear momentum m v for a mass particle m must balance the forces F that are applied to the particle. For this reason, this “law of motion” is also called the principle (actually postulate) of the balance of linear momentum. Whereas Sir I. Newton considered only individual mass points (like the Moon or an apple), L. Euler showed that many bodies can be treated as a continuous collection of mass points (i.e., a continuum), each particle of which obeys Newton’s second law.

Keywords

Euler Equation Incompressible Flow Linear Momentum Bernoulli Equation Laser Doppler Anemometer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Jay D. Humphrey
    • 1
  • Sherry L. Delange
    • 1
  1. 1.Department of Biomedical Engineering and M. E. DeBakey InstituteTexas A&M UniversityCollege StationUSA

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