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2 results

  • 10 - Thermodynamic Theory

  • Vijay P. Singh, Texas A & M University
  • Book:
    Handbook of Hydraulic Geometry
    Published online:
    24 November 2022
    Print publication:
    08 December 2022, pp 292-337

  • Summary

    A regime channel geometry can be computed using the second law of thermodynamics and the Gibbs equation which constitute the foundation of the thermodynamic method. With the use of a regime width relation, the need for a sediment transport rate relation can be obviated. This chapter discusses the thermodynamic methdology for deriving the hydraulic geometry of regime channels.

  • 4 - Thermodynamic Potentials

  • from Part I - Foundations
  • Jean-Philippe Ansermet, École Polytechnique Fédérale de Lausanne, Sylvain D. Brechet, École Polytechnique Fédérale de Lausanne
  • Book:
    Principles of Thermodynamics
    Published online:
    14 December 2018
    Print publication:
    03 January 2019, pp 70-100

  • Summary

    As internal energy is a function of entropy, volume and number of moles, its differential is given by the Gibbs relation, and temperature, pressure and chemical potentials are defined as conjugate variables. Extensivity implies the Euler relation. The Gibbs-Duhem relation will find applications later, in the analysis of phase transitions. Legendre transformations are introduced, leading to the definition of the thermodynamic potentials: free energy, enthalpy and Gibbs free energy. When a system is coupled to a thermal reservoir or heat bath, its equlibrium is characterised by a minimum of the free energy; when it is a work reservoir, the enthalpy is minimum, and when it is a work and heat reservoir, the Gibbs free energy is minimum. Maxwell relations establish relationships between quantities that would not immediately be associated. The cyclic chain rule links together the derivatives of one property function with respect to two others. It is conveniently applied to analyse the Joule expansion and Joule-Thomson effect.