But du cours
- Heat transfer equation in an immobile and isotropic solid.
- Thermal resistances and conductances.
- Convection
- Newton’s law.
- Principle of convection.
- Characteristic numbers.
- Thermal radiation
- Radiation quantities; Planck’s, Wien’s, Stefan–Boltzmann, and Kirchhoff’s laws.
- Exchanges between black bodies and between grey bodies.
- Laboratory work
- Measurement of heat transfer coefficients.
- Simulation of thermodynamic systems.
Acquis d'apprentissage visés
- Propose a simplified model for a thermal system in steady state.
- Solve a 1D steady-state heat transfer problem under classical boundary conditions (convection, imposed temperature, imposed flux).
- Evaluate a convective heat transfer coefficient using standard experimental correlations.
Prérequis
- Balances and transfers.
- Partial derivatives and differential equations.
Programme
- Review and framework: steady-state 1D conduction, heat equation in steady state, boundary conditions (Dirichlet, Neumann, Robin).
- Thermal resistance method: plane, cylindrical, and spherical walls; multi-layer systems; simple volumetric generation; thermal contact.
- Solving typical 1D cases: imposed temperature or flux, convection at the boundary (Robin condition), superposition and balance verification.
- Convection: Newton’s law, dimensional analysis and dimensionless numbers (Re, Pr, Nu); flow regimes (laminar/turbulent); introduction to standard correlations (internal/external flows).
- Evaluation of the coefficient : step-by-step procedure (regime selection, properties, characteristic length, correlation, calculation of then ); uncertainty estimation.
- Integrated application: calculation of a wall with convection on both sides (simplified model, resistance network, 1D resolution, order-of-magnitude check).
- Guided exercises and mini-project (spreadsheet/script): solving and validating real-world cases, concise presentation of results.
Modalités d'évaluation
2 Written exams (2h/2h) + 1 Lab report