A semi-analytical method for transient temperature field calculation in a parallel-flow four-channel four-fluid heat exchanger

A set of partial differential equations which describes transient behavior of parallel-flow four-channel four-fluid heat exchangers is solved using Laplace transform and numerical inverse algorithm. A case of a temperature disturbance in one channel and the homogeneous initial conditions is studied. To validate the semi-analytical solutions, they are compared with pure numerical and analytical solutions. The agreement is very good.