Skip to main content
Article
Dripping dynamics of Newtonian liquids from a tilted nozzle
European Journal of Mechanics B-Fluids (2015)
Abstract

The dripping dynamics of Newtonian liquids emanating from an inclined nozzle is studied. The fluid viscosity mu flow rate Q, nozzle radius R, and inclination angle theta have been varied independently. The drop breakup times and the different modes of dripping have been identified using high speed imaging. A phase diagram showing the transition between the dripping modes for different theta is constructed in the (We, Ka) space, where We (Weber number) measures the relative importance of inertia to surface tension force and Ka (Kapitza number) measures the relative importance of viscous to surface tension forces. At low values of We and Ka, the system shows a transition from period-1 to limit cycle before chaos. The limit cycle region narrows down with increase in inclination. Further increase in the values of We and Ka gives a direct transition from period-1 to chaos. The new experiments reveal that in the period-1 region, increasing the nozzle inclination angle theta results in lowering of the drop breakup time t(b), suggesting that the surface tension forces cannot hold the drops longer despite the weakened effective gravitational pull. This counter-intuitive finding is further corroborated by pendant drop experiments and computations. More curiously, throughout the period-1 regime, the drop volume is independent of the flow rate. This resulted in a relatively simple correlation for the dimensionless drop volume V = 1.3G(-1)Ka(0.02)(cos theta)(0.37) accurate to within 10% over wide ranges of the independent variables. (C) 2014 Elsevier Masson SAS. All rights reserved. Link to Full-Text Articles : http://www.sciencedirect.com/science/article/pii/S0997754614001939

Keywords
  • Asymmetric dripping,
  • Inclined nozzle,
  • Breakup time,
  • Drop volume,
  • Phase,
  • diagram,
  • FREE-SURFACE FLOWS,
  • DROP FORMATION,
  • ELECTRIC-FIELD,
  • FAUCET,
  • BREAKUP,
  • DISINTEGRATION,
  • TECHNOLOGY,
  • CAPILLARY,
  • STABILITY,
  • WEIGHT
Publication Date
May, 2015
Publisher Statement
ISI Document Delivery No.: CE6TB Times Cited: 0 Cited Reference Count: 36 Cited References: Ambravaneswaran B, 2000, PHYS REV LETT, V85, P5332, DOI 10.1103/PhysRevLett.85.5332 Ambravaneswaran B, 2004, PHYS REV LETT, V93, DOI 10.1103/PhysRevLett.93.034501 [Anonymous], 1994, Image J software download site from, Patent No. [5340656, 5,340,656] Basaran OA, 2002, AICHE J, V48, P1842, DOI 10.1002/aic.690480902 Chen HH, 2004, PHYS REV LETT, V92, DOI 10.1103/PhysRevLett.92.166106 Collins R. T., 2007, NATUREPHYSICS, V4, P149 Collins RT, 2013, P NATL ACAD SCI USA, V110, P4905, DOI 10.1073/pnas.1213708110 de la Mora JF, 2007, ANNU REV FLUID MECH, V39, P217, DOI 10.1146/annurev.fluid.39.050905.110159 D'Innocenzo A, 2004, PHYSICA A, V338, P272, DOI 10.1016/j.physa.2004.02.051 D'Innocenzo A, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.056208 D'Innocenzo A, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.046204 Eggers J, 1997, REV MOD PHYS, V69, P865, DOI 10.1103/RevModPhys.69.865 EGGERS J, 1995, PHYS FLUIDS, V7, P941, DOI 10.1063/1.868570 Freitas S, 2005, J CONTROL RELEASE, V102, P313, DOI 10.1016/j.jconrel.2004.10.015 Furbank RJ, 2004, PHYS FLUIDS, V16, P1777, DOI 10.1063/1.1691034 Harkins WD, 1919, J AM CHEM SOC, V41, P499, DOI 10.1021/ja01461a003 Laurell T, 2001, J CHROMATOGR B, V752, P217, DOI 10.1016/S0378-4347(00)00358-3 LAWAL A, 1982, J COLLOID INTERF SCI, V89, P346, DOI 10.1016/0021-9797(82)90186-2 LAWAL A, 1982, J COLLOID INTERF SCI, V89, P332, DOI 10.1016/0021-9797(82)90185-0 Le HP, 1998, J IMAGING SCI TECHN, V42, P49 Li HP, 2008, PHYS FLUIDS, V20, DOI 10.1063/1.2917535 Marginean I, 2006, PHYS REV LETT, V97, DOI 10.1103/PhysRevLett.97.064502 MUDAWAR I, 1986, INT J MULTIPHAS FLOW, V12, P771, DOI 10.1016/0301-9322(86)90051-0 Pozrikidis C, 2012, J ENG MATH, V72, P1, DOI 10.1007/s10665-011-9459-3 Rayleigh L., 1879, P R SOC LONDON, V29, P71, DOI DOI 10.1098/RSPL.1879.0015 Rayleigh L., 1879, P LOND MATH SOC, V10, P4 Reyes MB, 2002, PHYS LETT A, V300, P192, DOI 10.1016/S0375-9601(02)00821-6 SCHULKES RMSM, 1994, J FLUID MECH, V278, P83, DOI 10.1017/S0022112094003629 SE-FIT software, 1967, PHYS PROPERTIES GLYC Subramani HJ, 2006, PHYS FLUIDS, V18, DOI 10.1063/1.2185111 TAYLOR G, 1964, PROC R SOC LON SER-A, V280, P383, DOI 10.1098/rspa.1964.0151 Wilkes ED, 1999, PHYS FLUIDS, V11, P3577, DOI 10.1063/1.870224 Yildirim OE, 2005, PHYS FLUIDS, V17, DOI 10.1063/1.1938227 ZHANG XG, 1995, PHYS FLUIDS, V7, P1184, DOI 10.1063/1.868577 Zhang XG, 1999, J COLLOID INTERF SCI, V212, P107, DOI 10.1006/jcis.1998.6047 Zhang XG, 1996, J FLUID MECH, V326, P239, DOI 10.1017/S0022112096008300 Taur, Amaraja Doshi, Pankaj Yeoh, Hak Koon FRGS from the Ministry of Higher Education (Malaysia) [FP059-2010B]; PPP from the University of Malaya [PG091-2012B] This work was supported by FRGS grant FP059-2010B from the Ministry of Higher Education (Malaysia) and PPP grant PG091-2012B from the University of Malaya. The authors thank the University of Malaya for sponsoring the visit of Dr. Pankaj Doshi to Malaysia. Acknowledgement is made to National Chemical Laboratory for technical support in surface tension and rheology measurements. The authors are grateful to Mr. Krishnaroop Chaudhuri for the help in Surface Evolver setup, and to a reviewer for the lead to some classic references. 0 GAUTHIER-VILLARS/EDITIONS ELSEVIER PARIS EUR J MECH B-FLUID
Citation Information
"Dripping dynamics of Newtonian liquids from a tilted nozzle" European Journal of Mechanics B-Fluids Vol. 51 (2015)
Available at: http://works.bepress.com/facultyofengineering_universityofmalaya/65/