Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T14:27:18.943Z Has data issue: false hasContentIssue false
  • English
  • Français

Deriving the Generalized Total Kinetic Power Equation for Jet Engine

Published online by Cambridge University Press:  05 May 2011

Hsing-Juin Lee  and
Hsing-Wei Lee
Hsing-Juin Lee*
Affiliation:
Department of Mechanical Engineering, National Chung-Hsing University, Taichung, Taiwan 40227, R.O.C.
Hsing-Wei Lee*
Affiliation:
Chung-Cheng Institute of Technology, Tao-Yuan, Taiwan 33509, R.O.C.
*
*Professor
**Deputy Director of Academic Affairs
Get access

Abstract

In light of incessant quest of better propulsion performance, it would be opportune to probe some propulsion insights for jet engine (JE) from a power point of view. In this study, we endeavor to prescribe logic reasoning process for obtaining the JE total kinetic power and prove its degenerated counterpart. With the Lagrangian Reynolds transport approach, we also rigorously derive the highly generalized equation for this power. Moreover, the validity, significance, and importance of this novel generalized power equation are delicately demonstrated by an interesting spring/mass model with known total kinetic power. Notably, the JE total kinetic power equations are quite reasonable physically speaking, since all the velocity quantities involved are of relative nature; otherwise, the JE total kinetic power may violate the energy conservation law under certain conditions. This total kinetic power produced by jet engine involves a few more physical effects including vehicle acceleration, relative flow velocity/steadiness, inlet/exit pressures, and gravity, thus open an original route for more efficient propulsion design.

Keywords

Jet engineDeriving generalized power equationVerification
Type
Articles
Information
Journal of Mechanics , Volume 14 , Issue 3 , September 1998 , pp. 145 - 152
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Mahulikar, S. P., “Philosophical Approach to the Basic Understanding of the Mechanics of Jet Propulsion,” SAE Paper No. 920960, pp. 1–7 (1992).CrossRefGoogle Scholar
2.Hesse, W. J. and Mumford, N. V. S. Jr., Jet Propulsion for Aerospace Applications, 1st ed., Pitman, New York, pp. 38–42 (1964).Google Scholar
3.Kerrebrock, J. L., Aircraft Engines and Gas Turbines, 2nd ed., The MIT Press, Cambridge, MA, pp. 1–6 (1992).Google Scholar
4.Cleaver, A. V, “Power-Plant Efficiencies,” Aircraft Engineering, June, pp. 156–158 (1945).CrossRefGoogle Scholar
5.Mallison, D. H., “Power-Plant Efficiencies,” Aircraft Engineering, Sept., pp. 255–256 (1945).Google Scholar
6.Bull, G. and Bridges, P. D., “A Method for Flight Determination of Propulsive Efficiency and Drag,” AIAA Journal of Aircraft, Vol. 22, No.3, pp. 200–207 (1985).CrossRefGoogle Scholar
7.Sparenberg, J. A., Hydrodynamic Propulsion and Its Optimization, Kluwer Academic Publishers, Boston, pp. 166–168 (1995).CrossRefGoogle Scholar
8.van Manen, J. D. and Olsterveld, M. W. C, “Analysis of Ducted Propeller Design,” Transaction SNAME, Vol. 74, pp. 522–562 (1966).Google Scholar
9.Hoar, W. S. and Randall, D. J., ed., “Fish Physiology: Vol. VII, Locomotion,” Academic Press, New York, pp. 101–167 (1978).Google Scholar
10.Triantafyllou, M. S. and Triantafyllou, G. S., “An Efficient Swimming Machine,” Scientific American, Vol. 272, No. 3, pp. 40–48 (1995).CrossRefGoogle Scholar
11.Zucrow, M. J., Aircraft and Missile Propulsion, Vol. I, 1st ed., John Wiley, New York, pp. 124–129 (1958).Google Scholar
12.Cohen, H., Rogers, G. C. F. and Saravanamuttoo, H. I. H., Gas Turbine Theory, 3rd ed., Longman Sci. and Tech., Singapore, pp. 76–81 (1987).Google Scholar
13.Hill, P. and Peterson, C, Mechanics and Thermodynamics of Propulsion, 2nd ed., Addison Wesley, New York, pp. 149–151 (1992).Google Scholar
14.Oates, G. C, Aerothermodynamics of Gas Turbine and Rocket Propulsion, revised ed., AIAA educational series, edited by Przemieniecki, J. S., AIAA, Wash., D. C, pp. 139–140 (1988).Google Scholar
15.Mattingly, J. D., Elements of Gas Turbine Propulsion, McGraw-Hill, New York, pp. 18–40 (1996).Google Scholar
16.Heiser, W. H. and Pratt, D. T, “Hypersonic Airbreathing Propulsion,” AIAA, Wash., D. C, pp. 109–119 (1994).CrossRefGoogle Scholar
17.Lee, H. J. and Chein, R. R., “Lagrangian Reynolds Transport Equation for Jet Propulsion Dynamics,” Journal of the Chinese Society of Mechanical Engineers, Vol. 12, No. 6, pp. 611–617 (1991).Google Scholar
18.Lee, H. J. and Huang, S. C, “On the Derivation Process of Reynolds Transport Equation,” the International Journal of Mechanical Engineering Education, Vol. 21, No. 1, pp. 49–53 (1993).Google Scholar
19.Powel, S. F, IV, “On the Leading Edge: Combining Maturity and Advanced Technology on the F404 Turbofan Engine,” Transactions of the ASME, Journal of Engineering for Gas Turbines and Power, Vol. 113, No. 1, pp. 1–10 (1991).CrossRefGoogle Scholar
20.Lane, R. J. and Behenna, J., “EJ2000 – The Engine for the New European Fighter,” Transactions of the ASME, Journal of Engineering for Gas Turbines and Power, Vol. 113, No. 1, pp. 25–32 (1991).CrossRefGoogle Scholar