SIMULATION OF THE NONLINEAR HEAT TRANSFER PROCESS THROUGH A LINEAR SCHEME IN FINITE DIFFERENCE

RODOLFO DO LAGO SOBRAL¹; ROGÉRIO MARTINS SALDANHA DA GAMA²; EDUARDO DIAS CORRÊA²

¹ FEDERAL CENTER OF TECHNOLOGICAL EDUCATION; ² UNIVERSIDADE DO ESTADO DO RIO DE JANEIRO

doi:10.20906/CPS/COB-2015-1907

Resumo

In this work the nonlinear conduction-radiation heat transfer process is considered in a two dimensional plane context and simulated by means of a finite difference linear scheme. The original nonlinear problem is regarded as the limit (which always exists) of a sequence of linear problems like the classical conduction-convection ones. Such a limit is reached in an easy way by means of standard procedures, allowing the employment of more realistic hypotheses, like some nonlinear boundary conditions, since the mathematical complexities are not a constraint for simulating the elliptic partial differential equation. This work simulates the steady state heat transfer process in a rigid body subjected to convective and radiative boundary conditions.

Palavras-chave: Nonlinear Heat Transfer; Sequence of linear problems; Finite Difference