Programme (detailed content) :
Introduction: The fundamental mathematical tools of thermodynamics: partial derivatives, Jacobian, exact and inexact total differential, Legendre transformation, notion of extensive and intensive quantities, integrating factor.
I – Part: The formalism of thermodynamics:
– Postulates for simple systems,
– Variables of state, equation of state of simple systems,
– Calorimetric coefficients of simple systems,
– Legendre transforms,
– Thermodynamic potentials, free energies of transformation, and their applications
– Stability conditions of simple systems,
– Order parameter, 1st and 2nd order phase transition.
II – Part: Applications
– thermal machines – balance and efficiency
– Perfect gases, Mixtures of perfect gases,
– Real gases, Van der Waals model
– Solid-liquid-vapour transformation of a simple system
– Changes of state,
– Phase diagram,
III – Part: Heat and matter transport phenomena
– Diffusion phenomena.
– applications: thermoelectric effects (Peltier, Seebeck, …)
IV – Part : Thermodynamic model of the greenhouse effect.
– Modelling and influence of the atmosphere compositio
Objectifs
At the end of this module, the student should have understood and be able to explain (main concepts):
- The laws of thermodynamics, the notions of work, heat, energy associated with a transformation,
- The application to thermal machines, thermodynamic cycles, and the calculation of efficiency.
- This course is intended to provide students with an understanding of the laws of thermodynamics and the concepts of work, heat and energy associated with a transformation,
- simple phase diagrams and binary materials.
- This course is intended to provide students with the opportunity to learn more about the following topics: - The concepts of diffusion and heat/matter transport.
The student will have to integrate notions, contextualise them and then be able to decontextualise them to be able to project them into an adidactic situation.
Pré-requis
Basics of mathematical analysis: functions of several variables, derivatives, integrations, differential equations.
General notions of thermodynamics of physical-chemical systems
Évaluation
L’évaluation des acquis d’apprentissage est réalisée en continu tout le long du semestre. En fonction des enseignements, elle peut prendre différentes formes : examen écrit, oral, compte-rendu, rapport écrit, évaluation par les pairs…
