Finite element solution to transient convective-conductive heat transfer problems

Transient Convective Heat Transfer

In nature, as well as within the human-made thermal systems, the time-variable regimes are more commonly encountered, if not always, than the permanent regimes. Nevertheless, studies in convection are still more frequent in the permanent regimes, undoubtedly due to the related difficulties in calculation in terms of time and cost of computation. One may distinguish two categories of time-depend...

On Coupled Conductive-radiative Heat-transfer Problems in a Sphere

-A sphere-to-plane transformation technique and the spherical harmonics method are used, along with Hermite cubic splines, to define an iterative technique for solving a class of nonlinear radiative transfer problems in a sphere. Computational aspects of the technique are discussed, and the method is used to establish numerical results for several test problems. 1. I N T R O D U C T I O N In a ...

Finite element error estimates for nonlinear convective problems

Finite Element and Boundary Element Methods for Transient Acoustic Problems

The paper focuses on the numerical treatment of transient acoustic problems using finite element (FE) and boundary element (BE) methods. The FE method relies on a pressure formulation and the use of an implicit integration schemes for solving the related second-order differential system. The procedure is shown on cavity (interior) problems but can be extended to exterior problems using the DtN ...

Abram S . Dorfman Conjugate Problems in Convective Heat Transfer