Wall Jet Similarity of Impinging Planar Underexpanded Jets

TL;DR

This study uses CFD to analyze wall jet profiles and shear stresses in impinging planar underexpanded jets, establishing power-law relationships that depend on nozzle parameters for better wall shear stress prediction.

Contribution

It introduces parameterized wall jet profiles and power-law relationships based on CFD data for impinging jets with varying nozzle parameters.

Findings

Wall jet profiles are incomplete self-similar with a triple-layer structure.

Compressibility effects are negligible for Ma<0.8.

Power-law relationships describe maximum velocity and shear stress as functions of nozzle parameters.

Abstract

Velocity profiles and wall shear stress values in the wall jet region of planar underexpanded impinging jets are parameterized based on nozzle parameters (stand-off height, jet hydraulic diameter, and nozzle pressure ratio). Computational fluid dynamics is used to calculate the velocity fields of impinging jets with height-to-diameter ratios in the range of 15 to 30 and nozzle pressure ratio in the range of 1.2 to 3.0. The wall jet has an incomplete self-similar profile with a typical triple-layer structure as in traditional wall jets. The effects of compressibility are found to be insignificant for wall jets with Ma<0.8. Wall jet analysis yielded power-law relationships with source dependent coefficients describing maximum velocity, friction velocity, and wall distances for maximum and half-maximum velocities. Source dependency is determined using the conjugate gradient method. These power-law relationships can be used for the mapping of wall shear stress as a function of nozzle parameters.