UE Physics 1 - 4PUGPHY1

Goal(s)

• Mathematical tools for physicists and engineers
  For an engineer or a researcher, mathematics is an indispensable toolbox for the resolution of applied problems. This lecture consequently aims in introducing to the GEN2A alumni the following advanced methods: (i) use of orthonormal function bases. These bases use special functions frequently encountered in physics; (ii) Green’s functions, a powerful mean to solve PDE with boundary conditions. Green’s functions rely on the bases presented in (i).
  The lecture requires a good knowledge in mathematics: routine use of differential and integral calculus, complex and vector analysis, series, etc. Each part of the lecture will be illustrated with a practical application.

• Thermal Radiation Heat Transfer
  This course introduces the fundamentals of thermal radiation heat transfer. The following topics are covered: basic concepts and quantities related to radiation transfer, principles governing the radiation exchange between surfaces and a brief introduction to the resolution methods for radiation transport. This course in taught in French.

• Nuclear Physics 1 (12h)
  This course gives the basics of nuclear physics, a prerequisite for other courses in the program (radiation matter interactions, detection, nuclear physics 2, etc.): relativity, basic notions of the nucleus, energy balance of reactions, liquid drop model, etc.

Content(s)

Mathematical tools for physicists and engineers (12h CM - 8h TD dédoublés)
Thermal Radiation Heat Transfer (6h CM - 6h TD dédoublés)
Nuclear Physics 1 (8h CM - 4h TD)

• Mathematical tools for physicists and engineers (Lecture : 12h - Tutorials : 8h)
  1. Orthonormal bases of functions
     Interest in physics, Laplace eigenvalues and eigenfunctions on the: (i) cube; (ii) cylinder: Bessel functions, Fourier-Bessel series; (iii) sphere: Legendre polynomials, Fourier-Legendre series, spherical harmonics, application examples of function bases.
  2. Green’s functions
     Resolution of PDE with boundary conditions, eigenvalue expansion of Green’s functions, Laplace operator case, application examples.

• Thermal Radiation Heat Transfer (Lecture : 6h - Tutorials : 6h)
  Chapter 1 - Radiation Transfer: Processes and Properties
  Fundamental Concepts: Spectral Intensity, Emissive Power, Irradiation Power and Radiosity. Blackbody Radiation, Planck distribution and Stefan-Boltzmann law. Surface Absorption, Reflection and Transmission. Opaque versus transparent media. Kirchhoff’s Law. The Gray Surface.

Chapter 2 – Radiation Exchange Between Surfaces
View Factor integral. View Factor Relations. View factors properties. Blackbody Radiation Exchange. Radiation exchange between diffuse, gray and opaque surfaces in an enclosure (N-Surfaces)

Chapter 3 - Resolution Methods for Radiation Transport
Transfer in Participating Media. Absorbing, Emitting, Non-scattering Medium. Absorbing, Emitting and Scattering Medium. Radiative Transfer Equation. Solution of the Transfer Equation. Two-Flux Model.

• Nuclear Physics 1 (8h lecture - 4h exercices)
  Nuclear physics is concerned with the set (In set theory, a set intuitively designates a collection of objects (called elements...) of physical phenomena involving the atomic nucleus. This physics, also known as subatomic physics, is at the heart of the fission process and particle physics.
  1/ Relativity, particles and forces
  2/ General properties of the nucleus
  3/ Macroscopic model of the nucleus: the liquid drop

• Mathematical tools for physicists and engineers
  Fundamentals in mathematics (Bachelor degree)

• Thermal Radiation Heat Transfer
  • Fundamental of heat transfer: conduction and convection
  • Linear algebra
  • Vector analysis
  • Advanced calculus, including: Gauss’s and Stokes’s theorems, Partial differential equations (PDEs), Multivariable integration and differentiation and Complex variables.

• Nuclear Physics 1
  Basic concepts of quantum and atomic physics