Journal of Applied Mechanical Engineering

Line preserving flows in the Euler potentials formalism

Global Summit and Expo on Fluid Dynamics & Aerodynamics

August 15-16, 2016 London, UK

Przemyslaw Figura

Space Research Centre - Polish Academy of Sciences, Poland

Scientific Tracks Abstracts: J Appl Mech Eng

Abstract:

We consider flows that preserve lines of a given external field. In particular, we focus on the magneto-fluids flowing in a magnetic field. Moreover, we treat the breakage of the line preservation regime as a process of the magnetic reconnection. To describe the magnetic field, we use the Euler potentials representation. Using this formalism, we formulate a line preserving flows equation that becomes the basis of our further studies. We obtain equations describing the time evolution of the Euler potentials for the considered regime. We provide two approaches to find the special case solutions of the obtained equations, because in general closedform solutions of the equations do not exist. Also, we consider small perturbations and their implications of our obtained line preserving flows equation as well as perturbations of the Euler potentials time evolution equations. We illustrate them with some simple examples.

Biography :

Przemyslaw Figura has graduated from University of Warsaw in Astronomy. He has worked as a Programmer and then started his PhD studies at the Space Research Centre, Warsaw. He is a researcher in this institute and currently he is finalizing his PhD.

Email: pfigura@cbk.waw.pl