A non-dimensional analytical model of local and total entropy generation during steady heat conduction through a plane wall is developed in the paper. Relevant non-dimensional variables used in the model are the variable x/δ and the ratio of boundary thermodynamic temperatures Ts1/Ts2. The influence of these variables on the value of the local entropy generation is quantified first, and then the values of partial derivatives of local and total entropy generation with respect to the mentioned variables are quantified. The analytical expression of the relative local entropy generation (with respect to total entropy generation) is also given. The boundary values of the given variables are also quantified for all considered cases. The results of calculations are presented in the appropriate diagrams.