variavel0=Adriana Ferreira de Faria - affaria@uniminas.br UNIMINAS - União Educacional Minas Gerais Milton Biage - mbiage@ufu.br Universidade Federal de Uberlândia Paulo Lopes Silva Júnior - UNIMINAS - União Educacional Minas Gerais Abstract. Fundamental research on supersonic combustion has been conducted in response to the interest in the development of scramjet engine and the scram accelerator. The high speed associated with the supersonic flow implies short residence times for ignition to be effected. This is the major perceived difficulty in the development of scramjet technology. The other hand, an interesting recent theoretical result in the study of high speed chemically reacting mixing layers is that the significant amount of viscous heating can greatly facilitate the reaction rate and thereby the ignition event. The objective of this investigation is the numerical simulation of ignition in supersonic nonpremixed H2-Air unsteady mixing layer with detailed transport and chemical reaction mechanisms, using the conservative form of the complete conservation equations. To solve the problem it was used the spectral collocation technique. Keywords. Combustion, Supersonic Flow, Mixing Layer.