Thermodynamic Consistency as a Method for Modeling Gas Flows at Channel Junctions
Yu. A. Dubravin
Moscow Aviation Institute, Moscow, 125993, Russia
dubravin_yu@mail.ru
Keywords: gas dynamics, channel junctions, the second law of thermodynamics, strong discontinuities, openness problem
Abstract
The gas-dynamic conservation laws in integral form for sections of channels which have a bend of the axis, a jump in the cross-section area or channel branching is an open system of equations. The openness problem is solved by a method based on the independence of the thermodynamic function (pressure recovery factor) on the specified geometric arguments. The mathematical model reduces to a closed system of nonlinear algebraic equations not requiring additional hypotheses and admitting a solution in explicit form for small Mach numbers.
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