Oscillatory incompressible fluid flow in a tapered tube with a free surface in an inkjet print head

Shin, Dong-Youn and Grassia, Paul and Derby, Brian (2005) Oscillatory incompressible fluid flow in a tapered tube with a free surface in an inkjet print head. Journal of Fluids Engineering, 127 (1). pp. 98-109. ISSN 0098-2202 (https://doi.org/10.1115/1.1852474)

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Abstract

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.