The center line velocity distributions in the convergent flow of a silicone oil as a Newtonian fluid and a solution of silicone rubber ia silicone oil as a non-Newtonian fluid into a rectangular slit of various entrance angles have been measured by means of laser Doppler velocimetry. The non-Newtonian fluid used conformed to the behavior of a power-law fluid at shear rates greater than 20 s~(-1) with a non-Newtonian index n=0.76. The convergent flow studied had a contraction ratio of 12, with slit height of 0.83mm, slit length to height ratio of 18.1, slit width to height ratio of 14.3 and the width to height ratio before entering the slit of 1.19. Flow experiments were done at room temperature with shear rates at the slit wall of (1.7—11)·10~3s~(-1) and generalized Reynolds number 0.21—2.2. No elastic turbulence was observed in front of the slit entrance. The center line velocity gradient along the flow direction was appreciably reduced in the flow cells of small entrance angles. Two new phenomena h The center line velocity distributions in the convergent flow of a silicone oil as a Newtonian fluid and a solution of silicone rubber ia silicone oil as a non-Newtonian fluid into a rectangular slit of entrance windows have been measured by means of laser Doppler velocimetry. The non-Newtonian fluid used conformed to the behavior of a power-law fluid at shear rates greater than 20 s -1 with a non-Newtonian index n = 0.76. The convergent flow studied had a contraction ratio of 12, with The slit height of 0.83 mm, slit length to height ratio of 18.1, slit width to height ratio of 14.3 and the width to height ratio before entering the slit of 1.19. Flow experiments were done at room temperature with shear rates at the slit wall of ( 1.7-11) · 10 ~ 3s ~ (-1) and generalized Reynolds number 0.21-2.2. No elastic turbulence was observed in front of the slit entrance. The center line velocity gradient along the flow direction was appreciably reduced in the flow cells of small entrance angles. Two new phenomena h