Finite volume model for quasi one-dimensional compressible transient pipe flow (II) Finite volume model of temperature field

Based on the flow field model, a finite volume model suitable for simulating pipe wall transient heat transfer was established by employing two-dimensional finite control volume grids in axisymmetric cylindrical coordinates which can deal with two boundary heat transfer conditions including convection and radiation. Variable thermophysical properties of wall material and multilayer or vacuum sandwich structure of pipe wall were also considered. The temperature field model is a natural extension of flow field modeling method. The union of both forms the finite volume model (FVM) of quasi one-dimensional compressible transient pipe flow, which is a uniform numerical system of flow and heat transfer. Furthermore, combing with throttling model of valve core, the model can be further developed to establish the flow field and temperature field models of common components in pipe system. The modeling and simulation of a certain liquid rocket engine test-bed LO₂ tank pressurization system shows that the FVM has a wide scope of application and good simulation precision.