On Turbulent Jet Mixing of Two Gases at Constant Temperature
- 1 March 1955
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 22 (1) , 41-47
- https://doi.org/10.1115/1.4010967
Abstract
The fundamental equations of both two-dimensional and axially symmetrical turbulent jet mixing of two gases at constant temperature are derived and discussed. A general method of solution of these equations is given. The most important factors in these equations are the turbulent exchange coefficient for velocity distribution and that for density distribution. In general, these coefficients are not equal. If we assume that these coefficients are the same, an analytic solution for the mixing of two uniform streams is found which is an extension of Görtler’s solution for the case of homogeneous fluids. The first-order effect of the difference in densities of the two gases in the mixture on the velocity distribution is small. For two-dimensional and axially symmetrical jet from small opening, if the turbulent exchange coefficients are assumed to be the same, the velocity distribution for the case of homogeneous fluid is the first-order approximation of the velocity distribution in the jet of the mixing of two gases and the density distribution is the same as the velocity distribution. Finally, the effect of the difference in the two turbulent exchange coefficients is discussed. It is found that the ratio of turbulent-exchange coefficient for density distribution to that for velocity distribution is larger than 1, and may be as high as 2, and the ratio increases as the difference in density of the two gases increases. The larger this ratio is, the wider the spread of the density distribution than that of velocity distribution will be.Keywords
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