Model of Incompressible Fluid Flow with a Free Surface inside a Highly Porous Medium

Author(s):  
N. Leontiev ◽  
◽  
E. Roshin ◽  
2005 ◽  
Vol 127 (1) ◽  
pp. 98-109 ◽  
Author(s):  
Dong-Youn Shin ◽  
Paul Grassia ◽  
Brian Derby

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.


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