LAMINAR AXIALLY SYMMETRIC COMPRESSIBLE JET WITH AN ARBITRARY PRANDTL NUMBER.
Abstract
Existing solutions to the laminar, axially symmetric jet problem are restricted by assumptions of constant viscosity, constant density and a unitary Prandtl number. Some perturbation solutions for compressible jets with a unitary Prandtl number can also be found. For heated jets, both the viscosity and the density can vary over a wide range of values and the assumptions that they are constants are no longer applicable. For extremely hot jets, the Prandtl number is decreased due to ionization and the assumption of a Prandtl number of one is even less applicable in this case than in ordinary gas dynamic flows. The laminar, compressible, axially symmetric jet problem is solved analytically for a variable viscosity and an arbitrary Prandtl number. The flow is assumed subsonic where compressibility is due to heating only. The viscosity is assumed to be directly proportional to temperature to the one-half. This viscosity-temperature relationship is found to be in good agreement with existing theoretical calculations. An approximation is required to obtain the analytical solution and an a posteriori check shows that it introduces a negligible error. The applicability of the solution to arc heated argon plasma jets is discussed. The assumptions required to solve the problem are very accurate up to a temperature of 7500K for argon at atmospheric pressure. The solution should give a good indication of the enthalpy profiles at higher temperatures. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1965
- Accession Number
- AD0616109
Entities
People
- Ali Bulent Cambel
- David C. Smith
Organizations
- Northwestern University