In an exhaust gas pipe, a first fluid flows in a flow direction in the pipe, and a second fluid is injected inside the pipe by a nozzle, from an injection inlet arranged in the pipe wall, according to an injection direction. A mixing device fastened inside the pipe upstream from the injection inlet creates turbulence that helps the mixing of the fluids. The mixing device has a first portion located on the injection inlet side of the pipe and a second portion located opposite the injection inlet side of the pipe, the portions being designed so that the fluid velocity is higher downstream from the mixing device second portion than downstream from the mixing device first portion. An aqueous solution of urea can be injected inside an exhaust pipe of a diesel engine.