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Numerical solutions of the unsteady Fanno model for compressible pipe flow

Published online by Cambridge University Press:  02 May 2007

A. NOVIKOVS
Affiliation:
OCIAM, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK
H. OCKENDON
Affiliation:
OCIAM, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK
J. R. OCKENDON
Affiliation:
OCIAM, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK

Abstract

This paper presents numerical results on the evolution of the solutions of the Fanno model for compressible pipe flow. The principal results concern the large-time behaviour when nonlinear effects are appreciable throughout the evolution. Our computations show that compression waves can be expected to evolve into travelling waves for large times whereas expansion waves cannot.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Cebeci, T. & Smith, A. M. O. 1974 Analysis of Turbulent Boundary Layers. Academic.Google Scholar
Gioia, G. & Chakraborty, P. 2006 Turbulent friction in rough pipes and the energy spectrum of the phenomenological theory. Phys. Rev. Lett. 96, 044502.Google Scholar
Mathematics in Industry Study Group 2005 University of the Witwatersrand, problem description. http://www.wits.ac.za/misgsa2005/.Google Scholar
Nikuradse, J. 1950 Reprinted in English in NACA Tech. Memo. 1292.Google Scholar
Ockendon, H., Ockendon, J. R. & Falle, S. A. E. G. 2001 The Fanno model for turbulent compressible flow. J. Fluid Mech. 445, 187206.CrossRefGoogle Scholar
Thompson, K. W. 1987 Time-dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68 (1), 124.CrossRefGoogle Scholar
Thompson, K. W. 1990 Time-dependent boundary conditions for hyperbolic systems, II. J. Comput. Phys. 89 (2), 439461.Google Scholar
Wagner, D. H. 1987 Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions. J. Diffl Equat. 68, 118136.CrossRefGoogle Scholar