Abstract: A seven heat flow model for calculating of the wall temperature of mat wall has been established,in which internal axial heat conduction of flame tube wall is considered.A numerical method for solving the model is provided,which takes into account the effect of temperature on physical parameters.Therefore,the accuracy of the wall temperature calculation is enhanced.In order to provide required parameters for calculating the wall temperature,the calculation of axial distribution of mass flow and other flow parameters in the mat wall structure have also been done.After that,the axial temperature distributions on the mat wall of a single flame tube have been calculated at design and experimental conditions,and are compared with those of the prototype with air film cooling and its experimental data.It is demonstrated that the calculated results are principally consistent with experimental data and the mat wall strueture is possessed of excellent cooling performance.In comparison with the prototype,the cooling air mass is decreased by 20%,the wall temperature is obviously lowered.Furthermore,the axial wall temperature distribution is more uniform.Therefore,this structure will prolong the life of the flame tube or raise the gas temperature before the turbine.