Surface tension effect on a two dimensional channel è¢ow against an inclined wall is considered. The flow is assumed to be steady, irrotational, inviscid and incompressible. The effect of surface tension is taken into account and the effect of gravity is neglected. Numerical solutions are obtained via series truncation procedure. The problem is solved numerically for various values of the Weber number &\alpha\$ and for various values of the inclination angle \$\beta\$ between the horizontal bottom and the inclined wall.