Flame propagation in Hele-Shaw channels: a statistical approach of Hydrodinamics

• Grant number: 15/10389-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2015
• End date: September 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics - Physics of Fluids, Plasma Physics and Electrical Discharge
• Principal Investigator: Domingos Humberto Urbano Marchetti
• Grantee: Rafael Jorge Hauy
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The purpose of the project is to perform a statistical approach to the hydrodynamics of a gas in thermal expansion due to its combustion as suggested by Onsager in his seminal work on turbulence, aiming at the interpretation of experimental data produced by Paul D. Ronney on premixed flame propagation in Hele-Shaw channels. We intend to describe the motion of the flame cusps through the pole solutions of Michelson-Sivashinsky equation and its induced dynamics.