Constitutive Equation: General Principles

Basic Principles and Some Classical Constitutive Equations
  • Nhan Phan-ThienEmail author
  • Nam Mai-Duy
Part of the Graduate Texts in Physics book series (GTP)


In isothermal flow where the conservation of energy is not relevant, there are four scalar balance equations (one conservation of mass and three conservation of linear momentum), and there are 10 scalar variables (3 velocity components, one pressure, and 6 independent stress components – thanks to the conservation of angular momentum, the stress tensor is symmetric). Clearly we do not have a mathematically well-posed problem until 6 extra equations are specified.

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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational University of SingaporeSingaporeSingapore
  2. 2.Faculty of Health, Engineering and SciencesUniversity of Southern QueenslandToowoombaAustralia

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