In this research chamber effective length, which is the minimum chamber length required for complete combustion, for a dilute monopropellant spray, constant area, one dimensional and fixed volume engine is analytically predicted. A new evaporation rate in the form of dk+1 relation, instead of d2 law, is introduced. In case of controlling the vaporization by radiative heat transfer, k is equal to zero, and when molecular processes control the vaporization, k will be equal to unity and in some cases the vaporization data need the value of k greater than one to fit properly to related equation. Development of this approach can be used in design of combustion chambers with optimum length and with using vaporization rate of R = R0〈r〉0k/〈r〉k. Spray equation and distribution function in one-dimensional coordinate in direction of chamber axis is used as governing equations. Multiplying velocity and displacement variables by the simplified spray equation and some manipulation lead to a final form of integral equation. Definition of β1β3 as criteria will simplify the complex integral equation to a solvable relation. Results provide dimensionless velocity of droplets (from initial state to completely vaporization) and the chamber effective length for various values of k. The results obtained by employing dk+1 relation show that increasing k increases in the droplet vaporization rate as well as the oxidizer velocity and decreases in the chamber effective length.
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ASME 2010 International Mechanical Engineering Congress and Exposition
November 12–18, 2010
Vancouver, British Columbia, Canada
Conference Sponsors:
- ASME
ISBN:
978-0-7918-4444-1
PROCEEDINGS PAPER
Analytical Solution of Chamber Effective Length in the Axial Engine
S. R. Dehghani,
S. R. Dehghani
Persian Gulf University, Boushehr, Iran
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A. A. Mozafari,
A. A. Mozafari
Sharif University of Technology, Tehran, Iran
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M. H. Saidi,
M. H. Saidi
Sharif University of Technology, Tehran, Iran
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A. Ghafourian
A. Ghafourian
Sharif University of Technology, Tehran, Iran
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S. R. Dehghani
Persian Gulf University, Boushehr, Iran
A. A. Mozafari
Sharif University of Technology, Tehran, Iran
M. H. Saidi
Sharif University of Technology, Tehran, Iran
A. Ghafourian
Sharif University of Technology, Tehran, Iran
Paper No:
IMECE2010-40144, pp. 1095-1102; 8 pages
Published Online:
April 30, 2012
Citation
Dehghani, SR, Mozafari, AA, Saidi, MH, & Ghafourian, A. "Analytical Solution of Chamber Effective Length in the Axial Engine." Proceedings of the ASME 2010 International Mechanical Engineering Congress and Exposition. Volume 7: Fluid Flow, Heat Transfer and Thermal Systems, Parts A and B. Vancouver, British Columbia, Canada. November 12–18, 2010. pp. 1095-1102. ASME. https://doi.org/10.1115/IMECE2010-40144
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