In this paper, we made a numerical simulation of convective heat transfer in a rectangular section pipe of a air flat plate solar collector using three forms of the absorber plate namely, simple shape, rectangular-shape, and half circle-shape. The flow is considered laminar and stationary, where the heat exchange between the absorber plate and the fluid takes place in useful area. The computer code in fluid dynamics, the fluent, is applied to integrate the governing equations on each control volume. A detailed description of the fluid flow and heat transfer in the rectangular channel was made. Several simulation were carried out in order to determine the influencing parameters allowing better performances of the collector and ensuring a good homogeneity of the temperature at the exit of the channel. The obtained results showed that the lows mass flow rates of the air increase the average outlet temperature. Also, the use of the second configuration of the absorber (rectangular shape) increases the velocity of the air at the downstream of the channel and promotes more the thermal homogeneity at the outlet of the channel.