Application of a true bond graph formulation for incompressible thermofluid duct flows

摘要

In this paper, three advective problems are simulated by applying a previously developed bond graph formulation for thermofluid incompressible duct flows [8]. The methodology was implemented by using constant piecewise shape functions and linear piecewise weight functions for the entropy port. The first two problems consider heating of a fluid flow due to respectively a constant wall heat flux and a constant wall temperature. The third problem considers heating of a fluid flow due to viscous dissipation. The numerical results show an excellent agreement with the analytical solutions for transient flow. A representation with single-bond elements is obtained by lumping the temperature matrix. A simulation was run with the lumping approximation, showing no significant deterioration of the numerical solution.