DYNAMIC MODEL OF THERMAL PROCESSES IN A LIQUID FLOWING THROUGH A CHANNEL

The article presents a dynamic thermal process model for an incompressible fluid moving through channel of arbitrary cross-sectional shape. study focuses on expressing the non-steady law conservation internal energy by considering dependence parameters both spatial coordinates and time. one-dimensional formulation problem is simplified disregarding any changes in flow direction perpendicular to axis. resulting equation represents non-stationary, non-homogeneous, quasi-linear hyperbolic partial differential equation, which can be solved with method characteristics case constant coefficients. solution consists two distinct solutions that are glued along line x/t=v, isolines shown figure provided. research relevant design heat exchangers, rocket aircraft engines, other engineering devices.