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Thermal Equation of State. Examples. First Reversal Theorem

  • Clifford Ambrose TruesdellIII
  • Subramanyam Bharatha
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

Axiom I (Existence of a Thermal Equation of State, Euler, 1757). The pressure p acting upon a given body is determined by the volume and temperature of that body:
$$p = \varpi (V,\theta ),$$
(2.1)
the domain of ϖ being D. The function ϖ is continuous and has continuous partial derivatives ∂ ϖ /∂V and ∂ ϖ /∂θ; also
$${{\partial \varpi } \over {\partial V}} < 0.$$
(2.2)
Remark. The relation (2.1) is called the thermal equation of state of a particular fluid body described by the theory; the function v is the pressure function of that body. The function v, like the domain D, is a constitutive quantity.

Keywords

Liquid Water Continuous Partial Derivative Primitive Concept Natural Fluid Thermal Equation 
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-Verlag New York Inc. 1977

Authors and Affiliations

  • Clifford Ambrose TruesdellIII
    • 1
  • Subramanyam Bharatha
    • 2
  1. 1.The Johns Hopkins UniversityBaltimoreUSA
  2. 2.Research DepartmentEsso Resources Canada LimitedCalgaryCanada

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