This work analyses the mathematical model of thermal exchange in presence of transitory subjected to unexpected thermal shocks of indefinite duration. It investigates the industrial feasibility of heat pipes heat exchanger in order to reduce the effects of thermal shocks in industrial exhausts in plants for cement production. Low cost recovered thermal energy could be dedicated to any necessary low temperature application. The solutions of the equations, which describe the problem, are obtained in a general form. They could so be easily extended to whichever exchanger, on the base of the common, verified and validated, calculation parameters, which could be found in bibliography. A Matlab code has been produced to solve the problem. It has been validated thought CFD simulations using data of thermal shocks produced by rotary kilns.

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