variavel0=Jamilson Araújo Petronílio - jamilson@ufpa.br UFPa Emanuel Negrão Macedo - UFPa Daniel Onofre de Almeida Cruz - doac@ufpa.br UFPa Abstract. In the present work, a recently developed generalized version of the boundary Layer formulation will be used to analyze the convergent channel flow. This formulation combine the inviscid flow formulation and the classical boundary layer equations into a single and more general theory that disregards the needs for any type of viscid-inviscid interaction. The proposed formulation will be analyzed through similarity approach, and an ordinary differential equation will be derived which represents an extension of the classical sink flow solution equation. Keywords. asymptotic analysis, generalized boundary layer, similarity analysis.