Turbulence, entropy and dynamics : lecture notes

This Lecture notes are designed to complement the class notes of the course Turbulence and Mixing and Ocean Turbulence prsented at UPC, Toulon University and the Campus Universitary de la Mediterrania since 2010. It draws from Wikipedia and basic student support webs the pre-requisite knowledge on basic principles of Physics used in the Turbulence course. The main enphasis is on the use of clasical dynamics notations and thermodynamics which are not usually presented in engineering courses. It concentrates on the turbulence aspects related to energy, Entropy and scaling of the complex aspects of environmental turbulence. The use and explanation of Feynman diagrams in turbulence is also seldom presented away from quantum mechanics so the intention of these notes is also to show the synergy between different branches of physics and engineering