scholarly journals Scale effect of slip boundary condition at solid–liquid interface

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Gyoko Nagayama ◽  
Takenori Matsumoto ◽  
Kohei Fukushima ◽  
Takaharu Tsuruta
Keyword(s):  
Boundary Condition ◽  
Scale Effect ◽  
Slip Boundary Condition ◽  
Liquid Interface ◽  
Slip Boundary ◽  
Solid Liquid Interface ◽  
Solid Liquid

On Stability Analysis of a Flexible Cylinder in an Array of Rigid Cylinders

1992 ◽  
Vol 114 (1) ◽  
pp. 12-19 ◽  
Author(s):  
J. Marn ◽  
I. Catton
Keyword(s):  
Experimental Data ◽  
Boundary Condition ◽  
First Principles ◽  
Control Volume ◽  
Slip Boundary Condition ◽  
Flexible Cylinder ◽  
Slip Boundary ◽  
Advantages And Disadvantages ◽  
Solid Liquid Interface ◽  
Solid Liquid

The concept of an unsteady control volume is used to predict the onset of instability for a simple array of cylinders. The array consists of a flexible cylinder placed amidst rigid cylinders. The fluid is assumed to be incompressible with a “slip” boundary condition used on the solid/liquid interface. The equations derived for the model from first principles are solved in the complex plane. The results are compared to experimental data. The paper is concluded with a discussion of the advantages and disadvantages of the model and an assessment of the accuracy of the predictions.

No-Slip Boundary Condition for Weak Solid−Liquid Interactions

2011 ◽  
Vol 115 (17) ◽  
pp. 8613-8621 ◽  
Author(s):  
Adam P. Bowles ◽  
Christopher D. F. Honig ◽  
William A. Ducker
Keyword(s):  
Boundary Condition ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
Solid Liquid

scholarly journals Analytical Modeling of Fluid Flow in Hydrophobic, Rectangular Microchannels with General Navier-Slip Boundary Conditions

2019 ◽  
Author(s):  
Navid Kashaninejad
Keyword(s):  
Fluid Mechanics ◽  
Slip Flow ◽  
Liquid Interface ◽  
Small Scale ◽  
Rectangular Microchannels ◽  
Navier Slip ◽  
Slip Boundary ◽  
Aspect Ratios ◽  
Solid Liquid Interface ◽  
Solid Liquid

Fluid mechanics of flow in hydrophobic, rectangular microchannels with finite aspect ratios is of paramount importance. In such microchannels, not only the effect of the side walls should be taken into account, but also the classical assumption of no-slip boundary condition (BC) is no longer valid at the solid-liquid interface. Accordingly, slip flow can occur in microchannels fabricated from surfaces with low wetting conditions, hydrophobic surfaces. Determining the interactions of liquid molecules adjacent to solid surface is still a challenging issue, and it is especially important in small scale domains. Herein, the fluid mechanics of flow through rectangular hydrophobic microchannels has been reconsidered by taking into account the general Navier-slip BCs at the solid-liquid interface. For fully developed incompressible flow in microchannels at low Reynolds number, partial differential equation (PDE) of the momentum equation simplifies to the classical Poisson equation. Accordingly, by analytically solving the Poisson equations with general Navier-slip BCs, the most general forms of velocity distributions, flow rate, friction factor and Poiseuille number have been obtained.

scholarly journals Size effect on boundary condition at solid-liquid interface in microchannel

2019 ◽  
Vol 68 (2) ◽  
pp. 020201
Author(s):  
Long-Yan Zhang ◽  
Jin-Liang Xu ◽  
Jun-Peng Lei
Keyword(s):  
Boundary Condition ◽  
Size Effect ◽  
Liquid Interface ◽  
Solid Liquid Interface ◽  
Solid Liquid
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