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Analytical solution of chamber effective length in the axial engine

Dehghani, S. R ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2010-40144
  3. Publisher: 2010
  4. Abstract:
  5. 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 d 2 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 = R0k. 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 β 1β3 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. Copyright
  6. Keywords:
  7. Analytical solution ; Axial engine ; Distribution function ; Spray equation ; Chamber effective length ; Dimensionless velocity ; Droplet vaporization ; Evaporation rate ; Governing equations ; Molecular process ; Radiative heat transfer ; Vaporization rate ; Combustion chambers ; Distribution functions ; Drops ; Engines ; Integral equations ; Mechanical engineering ; Vaporization ; Vapors
  8. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 12 November 2010 through 18 November 2010, Vancouver, BC ; Volume 7, Issue PARTS A AND B , 2010 , Pages 1095-1102 ; 9780791844441 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1616497