## Mathematical model of the fuel element of the nuclear reactor

**Introduction**

The fuel element (TVEL) is the main structural element of the core of a heterogeneous nuclear reactor containing nuclear fuel[1].

In TVELs fission of heavy nuclei of uranium 235 or plutonium 239 occurs, accompanied by the release of thermal energy, which is then transferred to the heat carrier.

TVEL should ensure the removal of heat from the fuel to the heat carrier and prevent the spread of radioactive products from the fuel to the coolant.

Therefore, the calculation of the temperature fields in fuel elements is an important task of designing a nuclear reactor.

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