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Development of the impulse and thrust for laminar starting jets with finite discharged volume

Published online by Cambridge University Press:  14 September 2020

Lei Gao Open the ORCID record for Lei Gao [Opens in a new window] ,
Xin Wang ,
Simon C. M. Yu Open the ORCID record for Simon C. M. Yu [Opens in a new window]  and
Minking K. Chyu Open the ORCID record for Minking K. Chyu [Opens in a new window]
Lei Gao*
Affiliation:
School of Aeronautics and Astronautics, Sichuan University, Chengdu610065, PR China
Xin Wang
Affiliation:
School of Aeronautics and Astronautics, Sichuan University, Chengdu610065, PR China
Simon C. M. Yu
Affiliation:
Interdisciplinary Division of Aeronautical and Aviation Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, PR China
Minking K. Chyu
Affiliation:
Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA15261, USA
*
†Email address for correspondence: lei.gao@scu.edu.cn
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Abstract

In order to elucidate the physical connection between the propulsive performance and the unsteadiness of jet flow, the transient development of the impulse and thrust of laminar starting jets with finite fluid discharged is investigated numerically for cases with different velocity programmes and jet stroke ratios. The simulation quantitatively demonstrates that the impulse and thrust generated are highly sensitive to the jet kinematics and its near-wake dynamics. The momentum flux contribution to the jet impulse is found to be significant and is associated closely with the jet kinematics. On the other hand, although the over pressure effect at the jet initiation stage has been identified previously as the main reason for the enhanced propulsive performance of the starting jet, the current results indicate that its contribution is in fact weakened by the negative local pressure, induced by the formation of the leading vortex ring as well as jet development during the deceleration stage. Contrary to the effects of the leading vortex ring, the stopping vortex formed near the nozzle exit plane during the jet deceleration stage is found to contribute positively to the pressure impulse production, albeit it is relatively small. By augmenting the over pressure effect and mitigating the negative-pressure effect, the cases with the fast acceleration and slow deceleration velocity programme is capable of producing the maximum pressure impulse, leading to additional impulse production over what would be expected from the jet momentum flux alone.

JFM classification

Biological Fluid Dynamics: Propulsion Wakes/Jets: Jets Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 902 , 10 November 2020 , A27
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Footnotes

‡

Present address: AVIC Harbin Aircraft Industry Group, Harbin 150066, PR China.

References

Anderson, E. J. & DeMont, M. E. 2000 The mechanics of locomotion in the squid Loligo pealei: locomotory function and unsteady hydrodynamics of the jet and intramantle pressure. J. Exp. Biol. 203, 2851–2863.Google ScholarPubMed
Athanassiadis, A. G. & Hart, D. P. 2016 Effects of multijet coupling on propulsive performance in underwater pulsed jets. Phys. Rev. Fluids 1, 034501.CrossRefGoogle Scholar
Bartol, I. K., Krueger, P. S., Jastrebsky, R. A., Williams, S. & Thompson, J. T. 2016 Volumetric flow imaging reveals the importance of vortex ring formation in squid swimming tail-first and arms-first. J. Exp. Biol. 219, 392–403.CrossRefGoogle ScholarPubMed
Bartol, I. K., Krueger, P. S., Stewart, W. J. & Thompson, J. T. 2009 Hydrodynamics of pulsed jetting in juvenile and adult brief squid Lolliguncula brevis: evidence of multiple jet ‘modes’ and their implications for propulsive efficiency. J. Exp. Biol. 212, 1189–1903.CrossRefGoogle ScholarPubMed
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar
Costello, J. H., Colin, S. P., Gemmell, B. J., Dabiri, J. O. & Sutherland, K. R. 2015 Multi-jet propulsion organized by clonal development in a colonial siphonophore. Nat. Commun. 6, 8158.CrossRefGoogle Scholar
Dabiri, J. O., Colin, S. P. & Costello, J. H. 2006 Fast-swimming hydromedusae exploit velar kinematics to form an optimal vortex wake. J. Exp. Biol. 209, 2025–2033.CrossRefGoogle ScholarPubMed
Dabiri, J. O., Colin, S. P., Costello, J. H. & Gharib, M. 2005 Flow patterns generated by oblate medusan jellyfish: field measurements and laboratory analyses. J. Exp. Biol. 208, 1257–1265.CrossRefGoogle ScholarPubMed
Dabiri, J. O., Colin, S. P., Katija, K. & Costello, J. H. 2010 A wake based correlate of swimming performance and foraging behaviour in seven co-occurring jellyfish species. J. Exp. Biol. 213, 1217–1275.CrossRefGoogle ScholarPubMed
Dabiri, J. O. & Gharib, M. 2004 Fluid entrainment by isolated vortex rings. J. Fluid Mech. 511, 311–331.CrossRefGoogle Scholar
Daniel, T. L. 1983 Mechanics and energetics of medusan jet propulsion. Can. J. Zool. 61, 1406–1420.CrossRefGoogle Scholar
Didden, N. 1979 On the formation of vortex rings rolling-up and production of circulation. Z. Angew. Math. Phys. 30, 101–116.CrossRefGoogle Scholar
Gao, L. & Yu, S. C. M. 2016 Vortex ring formation in starting forced plumes with negative and positive buoyancy. Phys. Fluids 28, 113601.CrossRefGoogle Scholar
Glezer, A. 1988 The formation of vortex rings. Phys. Fluids 31, 3532–3542.CrossRefGoogle Scholar
James, S. & Madnia, C. K. 1996 Direct numerical simulation of a laminar vortex ring. Phys. Fluids 8 (9), 2400–2414.CrossRefGoogle Scholar
Jiang, H. & Grosenbaugh, M. A. 2006 Numerical simulation of vortex ring formation in the presence of background flow with implications for squid propulsion. Theor. Comput. Fluid Dyn. 20 (2), 103–123.CrossRefGoogle Scholar
Krige, M. & Mohseni, K. 2013 Modelling circulation, impulse and kinetic energy of starting jets with non-zero radial velocity. J. Fluid Mech. 719, 488–526.CrossRefGoogle Scholar
Krueger, P. S. 2001 The significance of vortex ring formation and nozzle exit over-pressure to pulsatile jet propulsion. PhD thesis, California Institute of Technology.Google Scholar
Krueger, P. S. 2005 An over-pressure correction to the slug model for vortex ring circulation. J. Fluid Mech. 545, 427–443.CrossRefGoogle Scholar
Krueger, P. S. & Gharib, M. 2003 The significance of vortex ring formation to the impulse and thrust of a starting jet. Phys. Fluids 15 (5), 1271–1281.CrossRefGoogle Scholar
Krueger, P. S. & Gharib, M. 2005 Thrust augmentation and vortex ring evolution in a fully-pulsed jet. AIAA J. 43 (4), 792–801.CrossRefGoogle Scholar
Moslemi, A. A. & Krueger, P. S. 2010 Propulsive efficiency of a biomorphic pulsed-jet underwater vehicle. Bioinsp. Biomim. 5, 036003.CrossRefGoogle ScholarPubMed
Olcay, A. B. & Krueger, P. S. 2008 Measurement of ambient fluid entrainment during laminar vortex ring formation. Exp. Fluids 44 (2), 235–247.CrossRefGoogle Scholar
Olcay, A. B. & Krueger, P. S. 2010 Momentum evolution of ejected and entrained fluid during laminar vortex ring formation. Theor. Comput. Fluid Dyn. 24, 465–482.CrossRefGoogle Scholar
Rosenfeld, M., Katija, K. & Dabiri, J. K. 2009 Circulation generation and vortex ring formation by conic nozzles. J. Fluid Engng 131 (9), 091204.CrossRefGoogle Scholar
Rosenfeld, M., Rambod, E. & Gharib, M. 1998 Circulation and formation number of laminar vortex ring. J. Fluid Mech. 376, 297–318.CrossRefGoogle Scholar
Ruiz, L. A., Whittlesey, R. W. & Dabiri, J. O. 2011 Vortex-enhanced propulsion. J. Fluid Mech. 668, 5–32.CrossRefGoogle Scholar
Saffman, P. G. 1992 Vortex Dynamics. Cambridge University Press.Google Scholar
Schlueter-Kuck, K. & Dabiri, J. O. 2016 Pressure evolution in the shear layer of forming vortex rings. Phys. Rev. Fluids 1 (1), 012501.CrossRefGoogle Scholar
Shariff, K. & Leonard, A. 1992 Vortex rings. Ann. Rev. Fluid Mech. 24, 235–279.CrossRefGoogle Scholar
Shusser, M., Gharib, M., Rosenfeld, M. & Mohseni, K. 2002 On the effect of pipe boundary layer growth on the formation of a laminar vortex ring generated by a piston/cylinder arrangement. Theor. Comput. Fluid Dyn. 15, 303–316.CrossRefGoogle Scholar
Sutherland, K. R. & Madin, L. P. 2010 Comparative jet wake structure and swimming performance of salps. J. Exp. Biol. 213, 2967–2975.CrossRefGoogle ScholarPubMed
Sutherland, K. R. & Weihs, D. 2017 Hydrodynamic advantages of swimming by salp chains. J. R. Soc. Interface 14, 20170298.CrossRefGoogle ScholarPubMed
Weihs, D. 1977 Periodic jet propulsion of aquatic creatures. Fortschr. Zool. 24, 171–175.Google Scholar