2. Conservation Laws. Integral and Differential Equations of Continuous Medium

  1. Kaplan S. Basniev1,
  2. Nikolay M. Dmitriev1 and
  3. George V. Chilingar2

Published Online: 26 OCT 2012

DOI: 10.1002/9781118533628.ch2

Mechanics of Fluid Flow

Mechanics of Fluid Flow

How to Cite

Basniev, K. S., Dmitriev, N. M. and Chilingar, G. V. (2012) Conservation Laws. Integral and Differential Equations of Continuous Medium, in Mechanics of Fluid Flow, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118533628.ch2

Author Information

  1. 1

    Gubkin State University of Oil and Gas, Russia

  2. 2

    University of Southern California, USA

Publication History

  1. Published Online: 26 OCT 2012
  2. Published Print: 8 OCT 2012

ISBN Information

Print ISBN: 9781118385067

Online ISBN: 9781118533628



  • conservation laws;
  • differential equations;
  • time differentiation;
  • continuity equation;
  • kinetic momentum


This chapter contains sections titled:

  • Integral Parameters of a Continuous Medium and the Conservation Laws

  • Time Differentiation of the Integral Taken over a Movable Volume

  • Continuity Equation (Law of Mass Conservation)

  • Motion Equation under Stress

  • Law of Variation of Kinetic Momentum. Law of Pairing of Tangential Stresses

  • The Law of Conservation of Energy

  • Theorem of Variation of Kinetic Energy

  • Heat Flow Equation

  • Continuous Medium Motion Equations