Abstract
A mathmatical calculation model for Stirling engines and coolers was developed and proposed. The particle method is applied to this model. This model considers that composition elements of engines, such as working fluid, pistons, wall and matrix, are a lump of small particles. Dominate equations are applied for each particle, and the movement of each particle are treated directly. The new model can evaluate the effect of complicated path shapes and flow patterns, for example, connecting between tubes and regenerator case. This issue is very useful for Stirling engine and cooler design. This paper introduces the theory and technique of the model and the caluculation results.