|Title:||Mathematical modelling and numerical simulation of a glow-plug|
|Date:||Friday 13th January 2006|
|Author(s) :||Formaggia, Luca; Micheletti, Stefano; Sacco, Riccardo; Veneziani, Alessandro|
|Abstract:|| In this work we derive a mathematical model that
describes the working of a glow-plug of the type used in Diesel engines
to preheat the air-diesel fuel mixture.
The proposed model consists of a time dependent one dimensional
partial differential equation which incorporates the electro-thermal
interaction between the electric current flowing in the plug and the
It has been obtained by integrating the heat
equation on each section of the plug, assuming axial symmetry and using
thermal equilibrium relation in the radial direction. The problem is
highly non-linear because of the radiation boundary conditions and the
dependence on temperature of several parameters. In particular, heat
is generated by an electric resistance whose characteristic strongly
depends on temperature.
We have adopted a quasi-Newton treatment of the non-linear term and a
mixed finite element formulation for the linearized problem. Time
advancing has been carried out using a semi-implicit Euler scheme.
Several numerical simulations have been carried in order to assess the
validity of the model, whose predictions have been compared with
available experimental data.
This report, or a modified version of it, has been also submitted to, or published on
Formaggia, L.; Micheletti, S.; Sacco, R.; Veneziani, A. , Mathematical modelling and numerical simulation of a glow-plug , Applied Numerical Mathematics, 2007, 57, 1125-1144