An Introduction to Fluid Mechanics

Lecture notes for Introduction to Fluid Mechanics

This note covers Derivation of mathematical models, Simplified models, Euler equations, Vorticity, A dip on analysis and Biot Savarts law, Local in time well posedness, Two dimensional case and one dimensional isentropic compressible Euler equations.

Author(s): JProf Dr Xian Liao

47 Pages

Lecture notes in fluid mechanics by CEA

This lecture notes has the following topics explained : Introduction, . Continuum hypothesis, Mathematical functions that define the fluid state, Limits of the continuum hypothesis, Closed set of equations for ideal fluids, Boundary conditions for ideal fluids, Introduction to nonlinear differential equations , Euler’s equations for incompressible ideal fluids , Potential flows for ideal fluids, Real fluids and Navier-Stokes equations, Boundary conditions for real fluids, Reynolds number and related properties, The millennium problem of the Clay Institute, Bounds and partial proofs, Fluid mechanics in relativistic Heavy-Ions collisions.

Author(s): Laurent Schoeffel, CEA Saclay

97 Pages