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On the Selection of a Root of a Quadratic Equation Applied to a Problem in Gas Dynamics

Published online by Cambridge University Press:  04 July 2016

W. A. Woods  and
H. Daneshyar
W. A. Woods
Affiliation:
Department of Mechanical Engineering, Walker and Harrison-Hughes Engineering Laboratory, University of Liverpool
H. Daneshyar
Affiliation:
Department of Mechanical Engineering, Walker and Harrison-Hughes Engineering Laboratory, University of Liverpool
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Summary

An account of the solution of a quadratic equation associated with a gas dynamic problem is given. Numerical examination of the equation Indicated that a conditional statement was required In a computer programme to determine the sign to be used in front of a square root. The necessity for this conditional statement was examined by studying a general quadratic equation. The study has also led to the formulation of a rule on the selection of a “desired root” of a quadratic equation.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 69 , Issue 655 , July 1965 , pp. 493 - 497
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Benson, R. S., Garg, R. D. and Woods, W. A. Unsteady Flow in Pipes with Gradual or Sudden Area Changes. Paper 16, IMechE Thermodynamics and Fluid Mechanics Convention, Cambridge, April 1964.Google Scholar
2.Cole, B. N. and Mills, B.Theory of Sudden Enlargement applied to the Poppet Exhaust Valve with Special Reference to Exhaust Pulse Scavenging. Proc Inst Mech Engrs, IB, p 364, London, 1952–3.Google Scholar
3.Hall, W. B. and Orme, E. M.Flow of a Compressible Fluid through a Sudden Enlargement in a Pipe. Proc Inst Mech Engrs, 169, p 1007, London, 1955.Google Scholar
4.Hall, H. S. and Knight, S. R.Higher Algebra. MacMillan & Co., London and New York.Google Scholar