Two-phase viscoelastic jetting

Authors:
Jiun-Der Yu;Shinri Sakai;J. A. Sethian
Affiliations:
Epson Research and Development, Inc., 3145 Porter Drive, Suite 104, Palo Alto, CA 94304, USA;Seiko Epson Corporation, Technology Platform Research Center, 281 Fujimi, Fujimi-machi, Suwa-gun, Nagano-ken 399-0293, Japan;Department of Mathematics University of California - Berkeley, Berkeley, CA 94720, USA
Venue:
Journal of Computational Physics
Year:
2007

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Abstract

A coupled finite difference algorithm on rectangular grids is developed for viscoelastic ink ejection simulations. The ink is modeled by the Oldroyd-B viscoelastic fluid model. The coupled algorithm seamlessly incorporates several things: (1) a coupled level set-projection method for incompressible immiscible two-phase fluid flows; (2) a higher-order Godunov type algorithm for the convection terms in the momentum and level set equations; (3) a simple first-order upwind algorithm for the convection term in the viscoelastic stress equations; (4) central difference approximations for viscosity, surface tension, and upper-convected derivative terms; and (5) an equivalent circuit model to calculate the inflow pressure (or flow rate) from dynamic voltage.