Abstract
Correlations for the supersonic jet characteristics, the mean shock cell length and the supersonic core length, have been obtained in terms of the jet parameters. The jet parameters considered in this study are the exit diameter of the nozzle (de), the design Mach number (Me), the nozzle pressure ratio (NPR) and the ratio of specific heats of the medium (γ). The parameters were varied as follows: exit diameters, from 0.5 to 25 mm; Mach number from 1 to 3; the NPR from 2.14 to 35. Initially, working fluid used is cold air and then effect of variation of γ is taken into consideration. The computational model has been validated and then used for all the numerical simulations. A quadratic fit for both characteristics has been obtained which is applicable to any supersonic jet. The correlations developed are valid within the respective ranges of the parameters stated above.
Highlights
Supersonic jets have diverse applications in modern world
Shocks are formed in the flow field when the nozzle pressure ratio (NPR) is off-design
The supersonic jet characteristics, supersonic core length and mean shock cell length are considered to be dependent on the exit jet Mach number (M), NPR and the nozzle exit diameter
Summary
Supersonic jets have diverse applications in modern world. They are being used in numerous technology domains and devices that include the aviation industry, medicine, inkjet printers and high-speed combustion systems. They obtained the supersonic core length as a function of the ratio of exit pressure to the ambient pressure, the Mach number and the exit diameter of the nozzle. To the best of the authors’ knowledge, there does not seem to be a correlation for the supersonic core length and the mean shock cell length in terms of the jet parameters.
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