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Nozzle contours for minimum particle-lag loss

Marble, Frank E. (1963) Nozzle contours for minimum particle-lag loss. AIAA Journal, 1 (12). pp. 2793-2801. ISSN 0001-1452. http://resolver.caltech.edu/CaltechAUTHORS:20110104-120110913

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Abstract

The flow of a gas-particle mixture through a rocket nozzle is analyzed under the approximation that the particle slip velocity is small compared with the average mixture velocity, using one-dimensional gasdynamics, the Stokes drag law, and corresponding approximations for the heat transfer between solid and gas phase. The variational problem defining the pressure distribution giving the minimum impulse loss due to particle lag is formulated and solved for nozzles of prescribed mass flow, length, and of given exit pressure or area. The throat section of the optimum nozzle is considerably elongated and more gradual than that of the conventional nozzle. The velocity and temperature lags were much lower (about 1/3) in the throat region than those for the conventional nozzle. The impulse loss of the optimum nozzle was, however, reduced only about 30% below that of the conventional nozzle. It is concluded that contouring of the nozzle to improve gas-particle flow performance will result in only very modest gains. As a direct consequence, the impulse losses calculated herein for optimum nozzles can be used as a rough but convenient approximation for the impulse losses in conventional nozzles having the same area ratio or pressure ratio.


Item Type:Article
Additional Information:© 1964, American Institute of Aeronautics and Astronautics. Received June 20, 1963; revision received September 10, 1963.
Group:Guggenheim Jet Propulsion Center
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion CenterUNSPECIFIED
Record Number:CaltechAUTHORS:20110104-120110913
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110104-120110913
Official Citation:Nozzle contours for minimum particle-lag loss pages 2793-2801 MARBLE, F. E. (CALIFORNIA INST. OF TECH., PASADENA, CALIF.) AIAA Journal (0001-1452) 1963 vol. 1 no. 12
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21580
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:05 Jan 2011 22:31
Last Modified:26 Dec 2012 12:48

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