METHOD FOR SOLVING TRANSIENT HEAT-TRANSFER PROBLEMS INCLUDING COMPUTER PROGRAMS AND AN ANALYSIS OF FORM-SURFACE FACTORS
Final rept. Oct 1964-Dec 1968
ARO INC ARNOLD AFS TN
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A method for attacking a wide variety of commonly occurring heat- transfer problems is presented. The method stems from a mathematical model obtained by dividing a system into pieces. The differential equation of the temperature of each piece with respect to time is derived considering heat sources and heat transfer by conduction and radiation. The resulting system of first-order ordinary differential equations is put in a form convenient for programming a numerical solution by defining coefficients in terms of the data of the system. Form-surface factors are a generalization of form factors to include multiple reflections. The factor is defined and discussed. A formula is derived for the factor in terms of the form factors and the reflectivities. The form-surface factor relations for the conservation of energy and the reciprocity law are derived. Methods of calculation are discussed. A FORTRAN subroutine is presented that calculates the form-surface factors from the form factors and the reflectivities.