Acoustics - Thermal

This EU consists of two blocks of 18 hours each (9 hours of lectures + 9 hours of tutorials).

For the first "acoustics" section, after establishing the equation for the propagation of mechanical vibrations in an infinite medium, plane wave solutions will be presented. The focus will then shift to the concept of scalar potential. Spherical wave solutions will be discussed. A large part will be devoted to the concept of acoustic impedance. Energy aspects will also be addressed. Various applications (particularly ultrasonic) will be discussed.

The second "thermal" block of the EU consists of studying the heat transport properties in solids and fluids in steady state (independent of time). We first define the diffusive and convective heat transfer regimes and introduce Fourier's equation, which links heat flow to temperature variation via thermal conductivity or the conductive-convective coefficient. We then establish the heat propagation equation, which we apply to simple cases involving walls and pipes. We then review the main laws describing heat transfer by radiation (Planck's law, Stefan-Boltzmann law) and study the case of radiative flux between two bodies under total influence. All of this knowledge will be used to perform the heat balance of homogeneous or composite walls, building models, bars, and fins. We will also discuss the case of heat exchangers.

Acoustics: mastering all aspects of vibrational physics applied to acoustic waves (audible or ultrasonic) in order to understand current applications: non-destructive testing, microscopy, 2D and 3D medical ultrasound, elastography, etc.

Thermal section: Master all the tools for calculating heat transfer by conduction, conductive convection, and radiation, as mentioned above. Know how to apply these tools to calculate the heat balance of everyday systems: walls, pipes, homes, bars and fins, heat exchangers.

Concepts of mechanics, thermodynamics, and mathematics

Recommended prerequisites*: Basic knowledge of continuum mechanics, partial differential equations.

100% CT

CM: 6 p.m.

TD: 6 p.m.