Approximate Method of Solving Nonlinear Heat Conduction Problems,
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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A method of solving nonlinear problems of high-temperature heat transfer is presented it is based on the linearization of the basic process equation, starting from the condition of minimum rms error due to violating nonlinearity in this, the nonlinear boundary conditions are satisfied analytically exactly. Three characteristic stages are considered, corresponding to the kinetics of heating cooling of a solid body the initial period, the quasi-steady-state regime, and the transition region.