One Dimensional Gas Flow With Internal Heating

Abstract

This paper presents a comparison of two solutions, a numerical and an analytic, to an idealized problem of frictionless transient gas flow driven by internal heating. The purpose of such a comparison is to provide a check on a general method for transient gas flow in pipelines with friction and heat transfer. The numerical solution to this problem is formulated based on the method of characteristics with specified time intervals. To avoid interpolation for integration along the characteristics, a multiplier is introduced to the acceleration term in the equation of motion. Favorable comparisons of pressure and density time histories are obtained.