22 citations · 31 across the 8 of their papers we have counts for
7 papers · 1 filter
Analytical One-Dimensional Model of Drop Ejection from a Micro-Size Nozzle
Leonid Pekker
In this article, we construct a novel one-dimensional model of drop ejection from a micro-size nozzle due to a short pressure pulse applied to the liquid in the nozzle. The pressur…
An Improved Self-Consistent One-Dimensional Slender Jet Model
Leonid Pekker, David Pekker
In 1994, Eggers and Dupont suggested the slender jet model, a one-dimensional model that describes the motion of a thin axisymmetric column of viscous, incompressible fluid with a…
Equilibrium Contact Angle at the Wetted Substrate
Leonid Pekker, David Pekker, Nikolai Petviashvili
We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by…
A 1D model of liquid laminar flows with large Reynolds numbers in tapered microchannels
Leonid Pekker
In this article, we construct a novel 1D-model of microfluidic laminar flows in tapered circular and rectangular channels assuming the flow in channels fully developed. In the mode…
A Calculator for Sediment Transport in Microchannels Based on the Rouse Number
Leonid Pekker
The Rouse number is commonly used to estimate the mode of the sediment transports in turbulent flows with large Reynolds number. However, in microchannels such as in modern inkjet…
Plateau-Rayleigh Instability of a Cylinder of Viscous Liquid (Rayleigh vs. Chandrasekhar)
Leonid Pekker
In 1982, in his classical work, L. Rayleigh considered the instability of a cylinder of viscous liquid under capillary force, the so-called Plateau-Rayleigh instability. In this wo…
A Complete Set of Grad's Thirteen Regularized Moment Equations
Leonid Pekker, Oksana Pekker, Victoria Timchenko
This paper derives transport equations for medium rarefied gases from the Bhatnagar-Gross-Krook (BGK) model kinetic equation using a Hermite polynomial approximation for the monoat…