scholarly journals On the shape of the free-surface problem of an ideal incompressible fluid flow with a singular sink at the top of a triangular ledge at the bottom

2021 ◽  
Vol 18 (1) ◽  
pp. 207-236
Author(s):  
A. A. Titova
Keyword(s):  
Fluid Flow ◽  
Free Surface ◽  
Incompressible Fluid ◽  
Ideal Incompressible Fluid ◽  
Incompressible Fluid Flow

Oscillatory Incompressible Fluid Flow in a Tapered Tube With a Free Surface in an Inkjet Print Head

2005 ◽  
Vol 127 (1) ◽  
pp. 98-109 ◽  
Author(s):  
Dong-Youn Shin ◽  
Paul Grassia ◽  
Brian Derby
Keyword(s):  
Fluid Flow ◽  
Free Surface ◽  
Incompressible Fluid ◽  
Numerical Approach ◽  
Computational Time ◽  
Approximate Analytic Solution ◽  
Incompressible Fluid Flow ◽  
Print Head ◽  
Fluid Behavior ◽  
The Cost

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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