Modeling of a spiral heat exchanger using fractional order equation and GPU

A spiral heat exchanger is a nonlinear system with high heat transfer efficiency and delay time. Its mathematics model constructed by fractional differential equations is more accurate than that constructed by integer differential equation in traditional method. In this paper, nonlinear system for a spiral heat exchanger with bounded perturbations described by fractional order equation is considered. Firstly, some preliminary concepts of fractional order and parallel numerical model of fractional order equation are introduced. Secondly, parallel numerical model of fractional order (PNMFO) description for a spiral heat exchanger model on GPU is proposed. Finally, the proposed model is simulated and analysed.