Commonly, magnetic refrigeration is based on the entropy invoked by the application of an external magnetic field on a paramagnetic or magnetic compound. In this paper, a one dimensional model for a bed of active magnetic regenerative refrigeration systems (AMRRs) has been developed. The physical case is a wheel which consist of some porous beds that one of these beds has been considered. In order to simplify, geometry of the model, the porous bed separated to fluid and solid part. The numerical model consists of two energy equations which are coupled. An iterative scheme has been used to solve finite difference equations to find temperature distribution. With this model the refrigeration capacity and the coefficient of performance (COP) of a real AMRR system can be predicted; the numerical results indicate that the maximum of COP and cooling capacity occurs at different values of mass flow rate of heat transfer fluid.

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