Mathematical Modeling

Regression models construction for describing the thermal system state of two flat bodies in cyclic contact

V. V. Stulin

Samara State Technical University, Samara, Russia

Abstract: Sophisticated analytical solutions of cyclic contact heat transfer problems in the form of integral equations were reduced to criteria form and converted into polynomial models based on the application of experiment planning methodology with economical numerical analysis. Approximation of the desired functions was performed by discrete points using Bonnet formulas, calculations showed quite rapid convergence of approximations and in practical calculations the number of iterations was 7–11. Thirteen criteria equations of regression type were received; the equations contain the most important and diverse in composition and formation structure characteristics of quasi-steady stage of cyclic contact heat exchange. The evaluation of the adequacy of models was made using multiple correlation coefficient.

Keywords: cyclic contact heat exchange, system of integral equations, numerical experiment planning, models of the regression type.

UDC: 519.233.5

MSC: 62G08

Original article submitted 21/V/2012
revision submitted – 25/VII/2012

DOI: 10.14498/vsgtu1087

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