Based on a multiple cooling loops integrated reactor, we derived the theoretical solution of the natural circulation flow of multi-loop circuit. The perturbation coefficient
m are obtained by using approximation and fitting approach, and the perturbation characteristics of the natural circulation system is analyzed and verified on an integrated reactor. The results indicate that for a symmetrical loop consisted of multiple cooling loops, the change of the flow is a function of Reynolds number
Re and the ratio of the rising resistance characteristics and the falling resistance characteristics
Rr. The perturbation coefficient
m has a close relation with Re and
Rr, and increases when
Rr decreases. The greater the
m, the smaller the effect of the same perturbation on the natural circulation system, that is to say,
m can represent the anti-perturbation ability of the system.