**5. Operating Conditions**

The parameters characterizing the material used for the rotor and the stator are provided in Table 1.


**Table 1.** Properties of the rotor and stator materials.

The parameters concerning the seal geometry and performance are shown in Table 2. It is assumed that the surrounding fluid is water with a temperature of 20 ◦C.


The analytical solution to the mathematical model considered here shows the distribution of temperature in the cross-section of the seal when *α* in Equation (18) has a fractional order value of 1 ≤ *α* ≤ 2. Moreover, the parameter *α* is time-dependent, which is illustrated graphically in Figure 1.
