A METHOD FOR SOLVING NON-LINEAR THERMAL PROBLEMS IN RE-ENTRY OF SPACE VEHICLES.
ROME UNIV (ITALY) SCUOLA DI INGEGNERIA AERONAUTICA
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In Part I a body of whatever shape is considered, of volume V, bounded by one or more surfaces S, and with thermal coefficients K and c conductivity and specific heat, respectively. It is assumed that the geometry of the body and the coefficients c and K not to change with time. The body, initially at known temperature, is assumed to be heated by a distribution of heat sources of any variation with space and time. It is shown that it is possible to find a rigorous analytic solution of the problem, provided the sources distribution be a function of space coordinates and of time and satisfy prescribed regularity conditions. In Part II the same problem of Part I is considered, but it is assumed that the heat sources distribution be not known a priori, but be also depending on the values of temperature calculated at the same time or at foregoing values of time. It is shown that, in this case, by using again the solution of P. I, the problem reduces to an integral equation of Volterras type, which can be easily integrated by steps or by successive approximations. In Part III a body is considered whose geometry and thermal coefficients K and c are time-varying. Author
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