*Article* **Cooling Modelling of an Electrically Heated Ceramic Heat Accumulator**

**Dawid Taler 1, Jan Taler 2,\*, Tomasz Sobota <sup>1</sup> and Jarosław Tokarczyk <sup>1</sup>**


**Abstract:** This paper presents a simple novel mathematical model of a heat accumulator with an arranged packing in the form of ceramic cylinders. The accumulator analysed in the paper can be heated with inexpensive electricity overnight or excess electricity from wind farms. It can be used as a heat source in a hydronic heating system or for domestic hot water. The differential equations describing the transient temperature of the accumulator packing and flowing air were solved using the explicit Euler and Crank–Nicolson methods. The accuracy of both methods was assessed using exact analytical solutions and the superposition method for a uniform initial temperature and accounted for time changes in inlet air temperature. A numerical simulation of the accumulator cooled by flowing air was carried out. The correlation for the air-side Nusselt number was determined using the method of least squares based on experimental data. The calculated exit air temperature was compared with the measured data. The accumulator can operate as a heat source with dynamic discharge. The developed mathematical model of the accumulator can be used in a system to adjust the fan rotational speed so that the air temperature in the room is equal to the preset temperature.

**Keywords:** heat accumulation; ceramic filling; electrical resistance heating of the storage pack; numerical model of storage-pack cooling; experimental study
