IDQ two-dimensional nonlinear transient heat transfer analysis of variable section annular fins

An incremental differential quadrature (IDQ) analysis of the two-dimensional nonlinear transient heat transfer analysis of variable section annular fins is presented. The temporal domain is decomposed into a set of sub-domains, and each sub-domain is discretized by using the DQ method. The irregular physical domain of the variable section annular fin is mapped into the computational domain of DQ via mapping rules. At all external surfaces of the annular fins, the convective-radiative condition is considered. The effects of time and spatial dependent prescribed temperature and the convective heat transfer as two different types of boundary conditions at the base of the annular fin are investigated. The explicit discretized form of the general formulations, which includes the spatial temperature dependent thermal parameters, is presented. Convergence, numerical stability and accuracy of the method are investigated though different examples. Less computational efforts of the method with respect to the finite difference method is shown. (c) 2006 Elsevier Ltd. All rights reserved.