“Painting with Numbers”:

Spraying and Air-Assisted Atomization of Complex Fluids

 

Gareth H. McKinley (with Bavand Keshavarz)

Hatsopoulos Microfluids Laboratory

Department of Mechanical Engineering,
MIT, 77 Massachusetts Avenue, Cambridge MA 02139

 

The extensional rheological properties of dilute polymer solutions play a dominant role in many industrially-important free-surface processes such as air-blast atomization and rotary atomization. These high deformation rate processes are important in the dispensing of diverse materials such as paints, fertilizer sprays and delivery of airborne drugs. Similar hydrodynamic conditions also govern physiological processes such as sneezing and airborne disease transmission. In this talk I will explore the physics behind atomization of complex fluids using model polymer solutions, several industrial paint formulations as well as human mucin. Although the viscosity and surface tension of the polymeric fluids are close to those of the underlying Newtonian solvent, both the mean droplet size and the droplet size distribution change considerably. To understand why non-Newtonian fluids differ so dramatically, one must recognize that the hydrodynamics of capillarity-driven breakup and atomization are governed by an independent material function – the transient extensional viscosity.  To probe the response of dilute polymeric solutions at realistic timescales and deformation rates we use a recently developed instrument, the Rayleigh Ohnesorge Jet Elongational Rheometer (ROJER) [1]. Analyzing the evolution in the jet diameter before break-up enables meaningful measurement of fluid relaxation times down to values as small as 50 µs, and these values can be directly correlated with differences in spray-size distributions.  High-speed flow visualization images show that this behavior arises from the non-linear dynamics close to the break-up point which are dominated by an elasto-capillary force balance within the thinning ligaments that sets the magnitude of the extensional viscosity in a complex non-Newtonian fluid.  This balance between elasticity and capillarity on small length scales also leads to a very broad and universal droplet size distribution that can be described by a single parameter Gamma distribution [2].  We will also briefly explore how such ideas can be extended to understand more advanced processes such as rotary atomization that is used extensively in the automotive industry [3].

 

[1] Keshavarz B, Sharma V, Houze E.C., Koerner M.R., Moore J.R., Cotts P.M., Threlfall-Holmes, P., McKinley, G.H.  Studying the Effects of Elongational Properties on Atomization of Weakly Viscoelastic Solutions using Rayleigh Ohnesorge Jetting Extensional Rheometry (ROJER). J. Non-Newt Fluid Mech. (2015), 222, 171-189. DOI: http://dx.doi.org/10.1016/j.jnnfm.2014.11.004

[2] Keshavarz, B., Houze, E.C., Moore, J.R., Koerner, M.R., McKinley, G.H.  Ligament-Mediated Fragmentation of Viscoelastic Liquids, Phys. Rev. Lett. (2016), 117 154502. DOI: http:/dx.doi.org/10.1103/PhysRevLett.117.154502

[3] Keshavarz, B., Houze, E.C., Moore, J.,R., Koerner, M.R., McKinley, G.H., Rotary Atomization of Newtonian and Viscoelastic Fluids, Phys. Rev. Fluids, (2020), 5 033601.  DOI: https://doi.org/10.1103/PhysRevFluids.5.033601

 


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