Transfer matrix method for analysis of flow thermohydraulic characteristics with extremely nonlinear behavior of thermophysical properties using channel approach

Abstract

The adaptation procedure of the transfer matrix method for the analysis of nonlinear thermohydraulic (TH) processes using the successful experience of the beam approximation approach is described. The basic principles of spatial and time discretization for the controlling equations system are formulated on the channel approach example. Introduced in the current study effective linearization concept based on “basic” and “corrective” values allowed to remove the restrictions on the medium state equations. The proposed efficient numerical algorithm considering the adaptation of the computational domain helps to solve one of the main problems – obtaining the convergent solution in the case of extremely nonlinear TH properties. Simple classic verification examples, for which theoretical solution exists, were used to test the correctness of applied method realization. The high stability of the suggested method is demonstrated when using implicit correlations for supercritical parameters. The proposed method for the elementary section does not impose restrictions on the type of boundary conditions, which is very important for the organization of branched pipeline systems calculation.