Summary
A slender jet model is used to describe the instability of a curved liquid jet falling under gravity. The fluid is modelled as an inelastic non-Newtonian fluid obeying the Carreau model. A linear instability analysis is performed to examine the behaviour of the most unstable wavenumber and growth rate of instabilities.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Decent, S.P., King, A.C., Simmons, M.J.H., P\breve{a}r\breve{a}u, E.I., Wallwork, I.M., Gurney, C.J., Uddin, J.: Appl. Math. Mod. 33, 4283–4302 (2009)
Eggers, J.: Rev. Mod. Physics 69(3), 865–929 (1997)
Entov, V.M., Yarin, A.L.: J. Fluid Mech. 140, 91–113 (1984)
P\breve{a}r\breve{a}u, E.I., Decent, S.P., Simmons, M.J.H., Wong, D.C.Y., King, A.C.: J. Eng. Maths. 57, 159–179 (2007)
Rayleigh, W.S.: Proc. Lond. Math. Soc. 10, 4 (1878)
Uddin, J.: Ph.D. Thesis, University of Birmingham (2007)
Wallwork, I.M.: Ph.D. Thesis, University of Birmingham, Birmingham (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Uddin, J., Decent, S.P. (2010). Instability of Non-Newtonian Liquid Jets Curved by Gravity. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_95
Download citation
DOI: https://doi.org/10.1007/978-3-642-12110-4_95
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12109-8
Online ISBN: 978-3-642-12110-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)