Thermal solitons: travelling waves in combustion | Zendy

Lawrence K. Forbes | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Thermal solitons: travelling waves in combustion

Author(s) -

Lawrence K. Forbes

Publication year - 2012

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2012.0587

Subject(s) - exothermic reaction , endothermic process , combustion , inert , reagent , amplitude , thermal , thermodynamics , chemical reaction , traveling wave , nonlinear system , stability (learning theory) , physics , mechanics , chemistry , classical mechanics , mathematical analysis , mathematics , quantum mechanics , biochemistry , adsorption , machine learning , computer science

A competitive reaction system is considered, under which some chemical reagent decays by means of two simultaneous chemical reactions to form two separate inert products. One reaction is exothermic, and the other is endothermic. The governing equations for the model are presented, and a weakly nonlinear theory is then generated using the method of strained coordinates. Travelling-wave solutions are possible in the model, and the temperature is found to have a classical sech-squared profile. The stability of these moderate-amplitude temperature solitons is confirmed both analytically and numerically.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research