Finite elements in convective heat transfer
Abstract
A new finite element formulation of the laminar convective heat transfer problem is presented in axisymmetric cylindrical coordinates. The novelty of this technique for solving the mass, energy and momentum conservation equations stems from using a quasilinearized representation of the nonlinear operators obtained by application of the Frechet derivative. A new consistency criterion for the order of the residual of each equation is developed and is applied in conjunction with the Galerkin method. The end result is an extremely stable algorithm having quadratic convergence properties which involves the simultaneous solution of all three conservation laws. Examples of the calculation are presented for free convection and compared to previously published data with good agreement.
- Publication:
-
Numerical Methods in Thermal Problems
- Pub Date:
- 1979
- Bibcode:
- 1979nmtp.proc..391W
- Keywords:
-
- Axisymmetric Flow;
- Conservation Laws;
- Convective Heat Transfer;
- Finite Element Method;
- Free Convection;
- Laminar Heat Transfer;
- Algorithms;
- Laminar Flow;
- Performance Prediction;
- Fluid Mechanics and Heat Transfer