The similarity variable proposed by L.Crocco is employed in this work to transform the boundary layer equations for the constant-property, two dimensional, laminar flow in a convergent channel. The governing equations (conservation of mass, momentum and energy) constitute a set of three non-linear partial differential equations. These equations are transformed into a simpler set of ordinary differential equations. Solutions of this transformed set are presented for several combinations of the relevant parameters. Among the effects studied in the heat generation due to viscous forces. When possible, comparisions with available results were made, and an excellent agreement was observed. Among the results presented, are of special practical interest the expressions for the local Nusselt number as a function of the Prandtl and Reynolds numbers.