The Brinkman-Forchheime-extended Darcy model was used to analyze the laminar flow over a plate heated with a constant heat flux embedded in a porous medium by considering the local non-equilibrium between the fluid and porous medium.The conservation equations were established and simplified by analyzing the order of magnitude of each term.The formulas of velocity and thermal boundary layer thicknesses，convective heat transfer coefficient and local temperature difference between fluid and porous medium were obtained by using an integration method.It is shown that the velocity boundary layer in the porous medium is obviously different from that of free stream over a plain plate.It develops very quickly at the beginning and reaches a steady thickness gradually.However，the development of the thermal boundary layer and the change of the local convective heat transfer coefficient are more similar to that of a plain plate.The local temperature difference between the porous medium and fluid achieves the maximum at the beginning，and then decreases gradually along the flow direction.