Developed eigendecomposition model of resistance temperature detector (RTD) in a fluid. Showed that RTD time constant primarily depends on the rate of heat transfer from the fluid to the outer wall of RTD. Showed that RTD time constant can be calculated as the sum of reciprocal eigenvalues of the heat transfer matrix. Calculated time constant of thermowell-mounted RTD sensor at the hot side of the precooler in the S-CO2 cycle.