Oscillatory incompressible fluid flow with a free surface occurs in an inkjet print head. Due to complex physical fluid behavior, numerical simulations have been a common approach to characterize the pressure and velocity development in time and space. However, the cost of a numerical approach is high in terms of computational time such that approximate analytic approaches have been developed. In this paper, an approximate analytic solution for a tapered nozzle section is described with a proper downstream boundary condition and the physical behavior of the meniscus deformation is modeled with a simple “window” theory.
Oscillatory Incompressible Fluid Flow in a Tapered Tube With a Free Surface in an Inkjet Print Head
Contributed by the Fluids Engineering Division for publication on the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division September 23, 2002; revised manuscript received August 31, 2004. Review Conducted by: M. Plesniak.
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Shin, D., Grassia, P., and Derby, B. (March 22, 2005). "Oscillatory Incompressible Fluid Flow in a Tapered Tube With a Free Surface in an Inkjet Print Head ." ASME. J. Fluids Eng. January 2005; 127(1): 98–109. https://doi.org/10.1115/1.1852474
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