An analytical solution for the compressible one-dimensional flow in convergent and divergent ducts with friction is obtained. It is found that a non-dimensional parameter, N, can be formed using the friction factor, duct half-angle and the ratio of specific heats of the gas. Seven flow regimes are describable with the solution, based on certain bounds on the magnitude of N. The regimes are discussed and corollary data are presented graphically.
Get full access to this article
View all access options for this article.
References
1.
ThomsonW. R.The thermodynamics of frictional resisted adiabatic flow of gases through ducts of constant and varying cross section, Aeronautical Research Council Technical Report No. CP. 158, London, 1954.
2.
LohW. H. T.‘A generalized one-dimensional compressible flow analysis with heat addition and/or friction in a non-constant area duct’, Int. J. Engng Sci.19708, 193–206.
3.
ShapiroA. H.The dynamics and thermodynamics of compressible fluid flow, Vol. 1, 1953 (Ronald Press, New York).
4.
HoughtonE. L.BrockA. E.Tables for the compressible flow of dry air1961, xviii (Edward Arnold).
5.
StodolaA.Steam and gas turbines19451, 61 (Peter Smith).
6.
RogersG. F. C.MayhewY. R.‘One-dimensional irreversible gas flow in nozzles’, Engineering, Lond.1953175, 355.