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Empirical Equations Jor the Thrust Generated by an Ideal Supersonic Nozzle

Published online by Cambridge University Press:  28 July 2016

P. N. Rowe
P. N. Rowe*
Affiliation:
High Speed Fluid Kinetics Laboratory, Department of Chemical Engineering, Imperial College, London
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Extract

The dimensionless thrust generated by supersonic flow through a convergent-divergent nozzle is given by Ref. 1,

1

which takes its optimum value, bmax when pe = pa.

For ideal one-dimensional flow, the relationship between Ae and pe is given by

2

and the optimum dimensionless thrust by

3

Where4

From equations (2) and (3), the constant D in equation (1) can be evaluated and thence the thrust of an ideal nozzle at any pressure ratio provided that no separation occurs.

Equations (2) and (3) are tedious to evaluate and it is not easy to estimate the effect of changes in γ.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 61 , Issue 564 , December 1957 , pp. 830 - 831
Copyright
Copyright © Royal Aeronautical Society 1957

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References

1. Fraser, R. P., Rowe, P. N. and Coulter, M. O. (1957). The Efficiency of Supersonic Nozzles for Rockets and Some Unusual Designs. Proc. I. Mech. Eng. 171, 1957.CrossRefGoogle Scholar