MODEL-REDUCTION FOR THERMAL-DIFFUSION - APPLICATION OF THE EITELBERG, MARSHALL AND AGGREGATION METHODS TO A HEAT TRANSMISSION TUBE MODEL

This study, dealing with model reduction for thermal diffusion, describes the numerical techniques used: the Eitelberg, Marshall and aggregation methods. The non‐linear model of a heat transmission tube, to which these methods are applied, is then described, pointing out the necessary initial algebraic treatment for reduction. Finally the outputs of the complete model and of several reduced ones are compared for some characteristic variations of the inputs. For this problem, the Eitelberg and Marshall methods, which can be used with a high coefficient of reduction, are well adapted. Copyright © 1990 John Wiley & Sons, Ltd