Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions

摘要: Steady state temperature fields in domains with dependent heat conductivity and mixed boundary conditions involving a transfer coefficient radiation were considered. The nonlinear conduction equation was transformed into Laplace's using Kirchhoff's transform. Due to this transform the non-linearity is transferred from differential only third kind conditions. remaining of first second kind, became linear. Applying Green's theorem problem results integral containing integrals only. Discretization gives system algebraic equations linear matrix right hand sides. Such set can be solved iteratively. Numerical examples are included.