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A whole new design optimization strategy for the plate finned-tube heat exchanger (PFTHX) was provided. According to the industrial application of the domestic heat exchanger manufacturers, the tube arrangement, fin number, etc. of a PFTHX with designated coil can be sifted stage by stage with: (1) the confine of size parameters of the coil, tube passes, the flow velocity of the fluids of both sides, (2) the confine of the pressure drop of the fluids of both sides, (3) the margin of heat transfer area, etc. The calculation amount can be reduced significantly and at the same time, all the solutions meeting the thermal indices and discrete design parameters can be obtained.

A numerical integral method to efficiently solve the point kinetics equations with Newtonian temperature feedback is described and investigated, which employs the better basis function (BBF) for the approximation of the neutron density in integral of one time step. The numerical evaluation is performed by the developed BBF code. The code can solve the general non-linear kinetics problems with six groups of delayed neutron. For the application purposes, the developed code and the method are tested by using a variety of problems, including ramp reactivity input with or without temperature feedback. The results are shown that the BBF method is clearly an effective and accurate numerical method for solving the point kinetics equations with Newtonian temperature feedback, and it can be used in real time power reactor forecasting in order to prevent the reactivity accidents.

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