Skip to main content

Prediction of jet flows from the axisymmetric supersonic nozzle

  • Conference paper
  • First Online:
Shock Waves

Abstract

This study is motivated by the authors’ interest in developing a needle-free powdered vaccine delivery device, the Epidermal Powdered Injection system(EPI). The behaviour of a supersonic jet, which accelerates powdered vaccines in micro-form to a sufficient momentum to penetrate the outer layer of human skin or mucosal tissue, is therefore of great importance. In this paper, a well established Modified Implicit Flux Vector Splitting (MIFVS) solver for the Navier-Stokes equations is extended to numerically study the transient supersonic jet flows of interest. A low Reynolds number k−ε turbulence model, with the compressibility effect considered, is integrated into MIFVS solver to the prediction of the turbulent structures and interactions with inherent shock systems. The results for the NASA validation case NPARC, Contoured Shock Tube and Venturi of EPI system are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. B.J. Bellhouse, D.F. Sarphie, J.C. Greenford: Needless Syringe Using Supersonic Gas Flow for Particle Delivery. Int. Patent W094/24263 (1994)

    Google Scholar 

  2. Y. Liu: Numerical Method of Three-Dimensional Viscous Flow in Turbomachinery Multistage Environment. Ph.D Thesis, Xi’an Jiaotong University, China (1996)

    Google Scholar 

  3. Y. Liu, C.H. Choi, J.Y. Yoo: ‘Investigation of Shock/Boundary Layer Interaction by Using MIFVS Methods’. In: Proceedings of 7th International Symposium on Transport Phenomena and Dynamics of Rotation Machinery, Honolulu USA, 1998, pp. 1234–1243

    Google Scholar 

  4. Y. Liu, M.A.F. Kendall, B.J. Bellhouse: ‘An Efficient Implicit Finite Difference Scheme for Transonic Flow’. In: 32nd AI A A Fluid Dynamics Conference and Exhibit, St. Louis, Missouri, USA, 2002. AIA 2002-2955

    Google Scholar 

  5. K.Y. Chien: Predictions of channel and boundary layer flows with lower-reynolds-number turbulence model. AIAA Joural 20(1), (1982)

    Google Scholar 

  6. S. Sarkar, G. Erlebacher, M.Y. Hussaini and H.O. Kreiss: The analysis and modelling of dilational terms in compressible turbulence. Joural of Fluid Mechanics 227, 473 (1991)

    Article  ADS  Google Scholar 

  7. R.M. Beam, R.F. Warming: An implicit factored scheme for the compressible Navier-Stokes equations. AIAA Joural 16(4), (1978)

    Google Scholar 

  8. J.L. Steger, R.F. Warming: Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. Joural of Computational Physics 40, (1981)

    Google Scholar 

  9. J.M. Eggers: Velocity profiles and eddy viscosity distributions downstream of a Mach 2.22 nozzle exhausting to quiescent air. NASA TN D-3601 (1966)

    Google Scholar 

  10. M.A.F. Kendall: The delivery of particales vaccines and drugs to human skin with a practical, hand-held shock tube-based system. Shock Waves 12(1), (2002)

    Google Scholar 

  11. G. Costigan, Y. Liu, G.L. Brown, F.V. Carter and B.J. Bellhouse: ‘Evolution of the Design of Venturi Devices for the Delivery of Dry Particles to Skin or Mucosal Tissue’. In: Proceedings of 24th International Sympium on Shock Waves, Beijing, China, 2003

    Google Scholar 

  12. A. Brandt: Multi-level adaptive solutions to boundary-value problems. Mathematics of Computation 31(138), 333 (1977)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Tsinghua University Press and Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, Y., Kendall, M.A.F., Costigan, G., Bellhouse, B.J. (2005). Prediction of jet flows from the axisymmetric supersonic nozzle. In: Jiang, Z. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27009-6_177

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-27009-6_177

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22497-6

  • Online ISBN: 978-3-540-27009-6

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics