The wall shear stress and the vortex dynamics in a circular impinging jet are investigated experimentally for Re = 1,260 and 2,450. The wall shear stress is obtained at different radial locations from the stagnation point using the polarographic method. The velocity field is given from the time resolved particle image velocimetry (TR-PIV) technique in both the free jet region and near the wall in the impinging region. The distribution of the momentum thickness is also inspected from the jet exit toward the impinged wall. It is found that the wall shear stress is correlated with the large-scale vortex passing. Both the primary vortices and the secondary structures strongly affect the variation of the wall shear stress. The maximum mean wall shear stress is obtained just upstream from the secondary vortex generation where the primary structures impinge the wall. Spectral analysis and cross-correlations between the wall shear stress fluctuations show that the vortex passing influences the wall shear stress at different locations simultaneously. Analysis of cross-correlations between temporal fluctuations of the wall shear stress and the transverse vorticity brings out the role of different vortical structures on the wall shear stress distribution for the two Reynolds numbers.
The flow in the initial region of two jets, namely, a circular orifice jet and a lobed orifice jet, is considered in the present paper. The role played by the Kelvin–Helmholtz (K-H) azimuthal rings and the streamwise vortices in the entrainment process of both jets have been qualitatively and quantitatively analyzed, for a Reynolds number of 3600. This has been achieved using the high speed stereoscopic particle image velocimetry measurements and a proper orthogonal decomposition (POD) analysis. The mean entrainment rate observed in the daisy-shaped jet is higher than that of the circular jet. It is found that a strong correlation exists between the entrainment rate and the K-H vortex dynamics for the circular jet. The entrainment is mainly produced in the upstream part of the K-H ring as well as in the braid region where the streamwise vortices appear. In the downstream part of the K-H ring, the flow expands from the jet core to the surrounding. In the lobed jet, the amplitude of the entrainment variation is smaller than in the circular jet at the same axial position. The flow dynamics observed in the region of axis switching is highly complex. A snapshot POD analysis is performed to bring out the individual role played by the azimuthal and the streamwise vortices on the entrainment for both the jets. In the circular jet, the POD analysis confirms quantitatively the role of the K-H vortices as well as the streamwise vortices on jet entrainment. In the lobed jet, in addition to the main role of the streamwise vortex pairs in the entrainment, the K-H vortex also plays an undeniable role on the entrainment. In the experiments conducted, a steep rise in the momentum flux is observed for the axis-switching region of the lobed jet. The longitudinal distribution of the mean entrainment ratio of the daisy jet corroborates with that of the averaged streamwise vorticity and with the maximum streamwise vorticity. In the region of the axis switching, an important decrease in amplitude of the turbulent kinetic energy is evidenced.
The flow in the near-field of a cross-shaped orifice jet is investigated experimentally in the present study. The three components of the velocity field are obtained at different longitudinal locations using time-resolved stereoscopic particle-image velocimetry measurements. The mean and the instantaneous entrainment rates are calculated to study the entrainment mechanism. The distribution of momentum thicknesses is also inspected in the region of the axis switching. It is found that both the instantaneous entrainment rate and the net volume flux are strongly dependent on the vortical structures present in the flow and particularly at different parts of the Kelvin–Helmholtz vortex ring. Hence, different phases of the flow are investigated in the region of the axis switching. The contribution of the turbulent normal and shear stresses to the streamwise vorticity generation is also studied in the near-field of the cross jet. The momentum flux and its streamwise evolution are obtained from the mean velocity field. The contribution of different turbulent intensities to the momentum flux is given. The proper orthogonal decomposition (POD) is then applied to show the streamwise evolution of energy content of the most energetic POD modes.
Aero-acoustic coupling inside a deep cavity is present in many industrial processes. This investigation focuses on the pressure amplitude response, within two deep cavities characterized by their length over depth ratios (L/H=0.2 and 0.41), as a function of freestream velocities of a 2×2m2 wind tunnel. Convection velocity of instabilities was measured along the shear layer, using velocity cross-correlations. Experiments have shown that in deep cavity for low Mach numbers, oscillations of discrete frequencies can be produced. These oscillations appear when the freestream velocity becomes higher than a minimum value. Oscillations start at L/θ0=10 and 21 for L/H=0.2 and 0.41, respectively. The highest sound pressure level inside a deep cavity is localized at the cavity floor. A quite different behavior of the convection velocity was observed between oscillating and nonoscillating shear-layer modes. The hydrodynamic mode of the cavity shear layer is well predicted by the Rossiter model (1964, “Wind Tunnel Experiments on the Flow Over Rectangular Cavities at Subsonic and Transonic Speeds,” Aeronautical Research Council Reports and Memo No. 3438) when measured convection velocity is used and the empirical time delay is neglected. For L/H=0.2, only the first Rossiter mode is present. For L/H=0.41, both the first and the second modes are detected with the second mode being the strongest.
This study follows our previous report (Zhang et al., Phys. Fluids, vol. 31, 2019, 034105) by describing the formation and evolution of the engulfment flow in the cross-shaped channel. First, the flow regimes were studied by planar laser induced fluorescence (PLIF). Results show the formation of a spiral vortex in the center of the chamber and the appearance of a well-mixed zone inside the spiral vortex. Second, we proposed a novel experimental method to analyze the residence time of the fluid in the chamber, and discover an unexpected trapping region inside the well-mixed zone. There is almost no fluid transport into or out of this region. Furthermore, three-dimensional numerical simulation is used to reveal the origination of this trapping region. Simulation results reveal that the fluid recirculates in the trapping region and the flow feature is caused by the bubble-type vortex breakdown.
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