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ABSTRACT. THE GENERAL PROBLEM OF THE THREE-DIMENSIONAL NON-ADIABATIC COMPRESSIBLE TURBULENT GAS FLOW THROUGH CONSTANT CIRCULAR PIPES IS ANALYZED. THE INTEGRAL FORMS OF THE CONTINUITY, MOMENTUM AND ENERGY EQUATIONS ARE EMPLOYED NEAR THE STATE EQUATION. THE DYNAMIC FRAMEWORK IS ROUNDED WITH THREE CROSS SECTION MEDIATION THEOREMS. WE APPLY THESE THEOREMS TO THE FLOW EQUATIONS AND DERIVE A SYSTEM OF THREE INTEGRO-DIFFERENTIAL EQUATIONS.. THE SYSTEM DERIVED IS THEN TRANSFORMED INTO AN IMPLICIT SYSTEM OF FOUR ORDINARY DIFFERENTIAL EQUATIONS, WHICH INVOLVES ONLY THE CROSS SECTION MEAN PARAMETERS OF THE TURBULENT-AVERAGE MOTION. WE PROVE THAT THE MATRIX INVERSION IS ALWAYS POSSIBLE FOR SUBSONIC FLOWS. FINALLY, A NUMERIC EXAMPLE IS PERFORMED.
KEYWORDS: GAS PIPES, TURBULENT COMPRESSIBLE GAS-PIPE FLOW.
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