Mathematical model for optimisation of a thicknesses of furnace lining

Industrial energy consumption represents a large part of the energy flow in world. Industry furnaces belong to group with high energy consumption. Mathematical modelling and simulation cases appear as suitable tools, methods for decreasing energy consumption in this field. A simulation model has been used to determine the best geometry and working parameters of kiln by aim to reduce specific energy consumption. But this optimization process of minimizing specific energy consumption among other things is reason of increasing investment costs for furnace lining. In paper is defined mathematical model for minimizing costs caused by better insulation. Practical ranges of different insulation thicknesses are included as a set of inequality constraints. An objective function is formulated by aim to minimize material costs for insulation layers of furnace walls, bottom and vault. Developed optimization mathematical model is solved by linear programing. Final result is design of optimal furnace lining with same specific energy consumption. This optimisation procedure is shown for tunnel kiln.