Generalised Graetz problem: analytical solutions for concentric or parallel configurations

Charles Pierre (1) , Franck Plouraboué (2)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 IMFT - Institut de mécanique des fluides de Toulouse

In this paper are presented analytical solutions for the generalised Graetz problem for symmetric domains (either concentric or parallel). Such configurations are considered as protoypes for heat exchanger devices and appear and numerous applications involving heat or mass transfer. Solutions for the generalised Graetz problem are derived as analytical series. The computation of the series coefficients (the closure functions) is recursive. This computation can be done using standard formal calculus software.

Mots clés: Heat and mass transfer; convection diffusion

Domaines: Analyse numérique [math.NA]

Charles Pierre, Franck Plouraboué. Generalised Graetz problem: analytical solutions for concentric or parallel configurations. 2011. ⟨hal-00737549⟩