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Literature review _ viscosity
According to Cummins and Desmulliez (2012), inkjet printing typically requires a surface
tension between 25 to 50 mN/m. Different authors developed inks with a surface tension inside a range
of 33 to 36 mN/m (Vaseem et al (2019); Mo et al. (2016).
In addition to surface tension and viscosity, several other physical parameters affect the inkjet
printability of non-Newtonian fluids, such as jet velocity (v), characteristic length (a), and density (ρ).
Three significant dimensionless numbers can be used to characterize the relative importance of these
parameters: the Reynolds (Re), Weber (We), and Ohnesorge (Oh) numbers. These parameters were
described in Equations 1- 3, respectively.
𝑅𝑒 =
π‘£πœŒπ‘Ž
πœ‚
πΈπ‘ž (1)
π‘Šπ‘’ =
𝑣 2 πœŒπ‘Ž
ϒ
πΈπ‘ž (2)
π‘‚β„Ž =
√π‘Šπ‘’
𝑅𝑒
πΈπ‘ž(3)
Figure 4.12 Show the coordinate system defined by the Reynolds and Weber numbers to illustrate the
regime of fluid properties where liquid of inkjet printing is possible. The range over which inks
printability is 10 > Z > 1. If the value of Z is too high (Z > 10), the jet will form many satellite
droplets. Whereas if it is too low (Z < 1), viscous forces will prevent the separation of a drop.
Figure 4.12: Z = 1/Oh that allows stable printing, can be plotted in a coordinate system defined by the
Reynolds and Weber numbers to illustrate the regime of fluid properties where liquid of inkjet
printing is possible (Reis & Derby, 2000)
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