Abstract
A general and effective finite element formulation for analysis of nonlinear steady-state and transient heat transfer is presented. Heat conduction conditions, and convection and radiation boundary conditions are considered. The solutions of the incremental heat transfer equations is achieved using Newton-Raphson iteration, and in transient analysis using a one-step α-family time integration scheme. The stability and accuracy of the time integration is discussed. The solution techniques have been implemented, and the results of various sample solutions are discussed and evaluated.
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