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.
 Publication:

IN: Numerical methods for fluid transient analysis; Proceedings of the Applied Mechanics
 Pub Date:
 1983
 Bibcode:
 1983nmft.proc...29L
 Keywords:

 Computational Fluid Dynamics;
 Heat Transfer;
 One Dimensional Flow;
 Pipe Flow;
 Unsteady Flow;
 Boundary Value Problems;
 Coefficient Of Friction;
 Continuity Equation;
 Equations Of Motion;
 Internal Energy;
 Thermal Energy;
 Fluid Mechanics and Heat Transfer