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Department of Mathematics and Applications
"Renato Caccioppoli"


Elements of Thermodynamics

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Elements of Thermodynamics

Credits

6

Prerequisites

None.

Scientific-disciplinary sector (SSD)

FIS/03 Physics of Matter.

Examination method

Oral exam.

Learning
objectives

The course aims to present a formulation of thermodynamics following a mathematical approach derived from the literature of so-called “rational thermodynamics”. Balance equations and constitutive equations are treated separately, and the second law is given the role of providing restrictions on the possible constitutive equations.

Syllabus

Introduction to heat exchange and the temperature variable. Macroscopic description of uniform single-component systems. Some examples of equations of state. Net mechanical power and its dependence on the process. Axiomatic presentation of thermodynamics according to Planck. The first law. Definitions and calculations of heat capacities. Adiabatic transformations. “Heat engines”. The second law of thermodynamics as a generalisation of results on cycles in heat engines. The Coleman–Noll procedure for deducing the consequences of the second law of thermodynamics: restrictions on constitutive equations. Various applications to reversible and irreversible systems. Introduction to the thermodynamics of non-uniform systems: the equations of continuum thermodynamics.

Expected learning
outcomes

On completion of the course, students must demonstrate that they

  • know and understand the issues involved in describing a thermodynamic problem by means of mathematical tools, with particular regard to balance equations and constitutive equations;
  • can apply the knowledge acquired by independently formulating a thermodynamic problem through its modelling, and can solve the resulting model using appropriate mathematical methods;
  • can communicate ideas and solutions clearly, rigorously and effectively to both specialist and non-specialist audiences;
  • can identify the most appropriate methods to analyse and solve a problem relating to the course topics and interpret the results correctly.

Learning outcomes
to be assessed

Command of the knowledge acquired, clarity of presentation, rigour in the use of language, confidence in using the notions acquired.