...W. Saleh; R. C. Bowden; I. G. Hassan; L. Kadem The onset of gas entrainment in a single downward discharge, from a stratified gas-liquid region, was modeled. The discharge was modeled as a point-sink and Kelvin–Laplace’s equation was used to incorporate surface tension effects. Consequently...

...S. A. Mirbozorgi; H. Niazmand; M. Renksizbulut The effects of non-uniform zeta potentials on electro-osmotic flows in flat microchannels have been investigated with particular attention to reservoir effects. The governing equations, which consist of a Laplace equation for the distribution...

...Robert Wilson, Assistant Research Engineer, Member ASME; Jun Shao, Graduate Research Assistant; Fred Stern, Professor Mechanical Engineering and Research Engineer, Fellow ASME 09 Sep 2003 05 March 2004 10 09 2004 Laplace equations convergence of numerical methods boundary...

... OF FLUIDS ENGINEERING . Manuscript received by the Fluids Engineering Division January 11, 2002; revised manuscript received May 3, 2002. Associate Editor: G. E. Karniadakis. 11 January 2002 03 May 2002 04 12 2002 flow simulation boundary-elements methods aerodynamics Laplace...

... transitions eigenvalues and eigenfunctions series (mathematics) convergence of numerical methods Navier-Stokes equations Laplace equations Laminar flow transition modes are frequently studied using a Taylor-Couette cell, which consists of a cylindrical stator and rotor with fixed endwalls...

... y / 2 E q μ ˜ q with μ ˜ q = e ik xq x + ik yq y + k zq z with E q being complex constants. By superposition each traveling wave must satisfy the Laplace equation in the domain Ω and the linearized free boundary condition...