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Parametric study and scaling of jet manipulation using an unsteady minijet

Published online by Cambridge University Press:  08 June 2018

A. K. Perumal Open the ORCID record for A. K. Perumal [Opens in a new window]  and
Y. Zhou
A. K. Perumal
Affiliation:
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China
Y. Zhou*
Affiliation:
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China Digital Engineering Laboratory of Offshore Equipment, Shenzhen, China
*
†Email address for correspondence: [email protected]
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Abstract

A parametric study is conducted for the control of a turbulent jet using a single unsteady minijet. A number of control parameters that influence the decay rate $K$ of the jet centreline mean velocity are investigated, including the mass flow rate ratio $C_{m}$, excitation frequency ratio $f_{e}/f_{0}$ and exit diameter ratio $d/D$ of the minijet to main jet, along with the duty cycle ($\unicode[STIX]{x1D6FC}$) of the minijet injection. Extensive hot-wire, particle image velocimetry and flow visualization measurements were performed in the manipulated jet. Various flow structures have been identified, such as the flapping flow, non-flapping flow and that showing a manipulable thrust vector, depending on $C_{m}$, $f_{e}/f_{0}$ and $\unicode[STIX]{x1D6FC}$. Empirical scaling analysis unveils that, prior to the minijet impingement upon the wall of the nozzle and the generation of turbulence, the relationship $K=g_{1}$ ($C_{m}$, $f_{e}/f_{0}$, $d/D$, $\unicode[STIX]{x1D6FC}$) may be reduced to $K=g_{2}$ ($\unicode[STIX]{x1D709}$), where $g_{1}$ and $g_{2}$ are different functions and the scaling factor $\unicode[STIX]{x1D709}=(\sqrt{MR}/\unicode[STIX]{x1D6FC})(d/D)^{n}$ ($\sqrt{MR}\equiv C_{m}(D/d)$ is the momentum ratio and $n$ is a constant that depends on $\unicode[STIX]{x1D6FC}$) is physically the effective momentum ratio per pulse or effective penetration depth. Discussion is conducted based on $K=g_{2}$ ($\unicode[STIX]{x1D709}$), which provides important insight into the jet control physics.

JFM classification

Flow Control: Flow Control Wakes/Jets: Jets
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 848 , 10 August 2018 , pp. 592 - 630
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Copyright
© 2018 Cambridge University Press 

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