Primary system flow rate is a key parameter for monitoring and controlling thermal power in a nuclear power plant. The existing fleet of large light water reactors uses direct measurements of primary flow rate with the application of venturi meters, orifice plates, and magnetic flowmeters in primary loop piping. Integral light water reactors and pool-type advanced reactor designs, however, have largely eliminated primary loop piping to improve the inherent safety characteristics of these reactors. Furthermore, longer operating cycles between maintenance opportunities (typically 4 to 40 years) limit the applicability of these direct measurement methods over the operating period. Methods to infer the primary flow rate based on other, easily measured parameters are needed to ensure the operability of integral and pool-type reactors. Calorimetric analysis across the intermediate heat exchanger was investigated for real-time inference of primary flow rate. Heat balance equations were applied to an experimental forced flow loop to evaluate the efficacy of this approach. When appropriate time delays and heat losses are accounted for, the primary flow rate was inferred with accuracy and 95% prediction variance of 1.57 and 4.80 % mean value, respectively.