Article

1D modelling of an alpha type Stirling engine

¹ EPF-Ecole d’Ingénieurs, 21 Bd. Berthelot, 34000 Montpellier, France
² Laboratoire d’Energétique, de Mécanique et d’Electromagnétisme, Université Paris Ouest Nanterre-La Défense, 50, rue de Sèvres, 92410 Ville d’Avray, France

^* e-mail: nadia_martaj@yahoo.fr

Received: 10 July 2013
Accepted: 13 November 2013

Abstract

In this paper, a 1-D model of an half alpha type “double-acting” Stirling engine (made up of two double-acting pistons, two hot heat-exchangers, two cold heat-exchangers and a common recuperator-regenerator for the two separate gas circuits, all that giving two cycles with 180° phasing) is presented. In this architecture, two cylinders, containing, each one, a double-acting piston, are combined in order to operate like two parallel Stirling systems in opposition of phase. This model, derived from Andersen’s model, is used to describe the compressible flows in the half-engine, under energy transfers. A finite-volume numerical method is applied for the equations of energy, mass and momentum assessment. This modelling was carried out using the Matlab/Simulink software. The results of this dynamic modelling relate to one half engine. We obtain the evolution of the physical parameters (density, pressure and temperature), and the (p, V) cycle. The influence of the various assumptions was studied. A parametric study was carried out in order to obtain the optimal values of the geometry of the engine and its ideal speed of operation.