Version 1
: Received: 3 September 2019 / Approved: 5 September 2019 / Online: 5 September 2019 (11:27:50 CEST)
How to cite:
Kashaninejad, N. Analytical Modeling of Fluid Flow in Hydrophobic, Rectangular Microchannels with General Navier-Slip Boundary Conditions. Preprints2019, 2019090061. https://doi.org/10.20944/preprints201909.0061.v1
Kashaninejad, N. Analytical Modeling of Fluid Flow in Hydrophobic, Rectangular Microchannels with General Navier-Slip Boundary Conditions. Preprints 2019, 2019090061. https://doi.org/10.20944/preprints201909.0061.v1
Kashaninejad, N. Analytical Modeling of Fluid Flow in Hydrophobic, Rectangular Microchannels with General Navier-Slip Boundary Conditions. Preprints2019, 2019090061. https://doi.org/10.20944/preprints201909.0061.v1
APA Style
Kashaninejad, N. (2019). Analytical Modeling of Fluid Flow in Hydrophobic, Rectangular Microchannels with General Navier-Slip Boundary Conditions. Preprints. https://doi.org/10.20944/preprints201909.0061.v1
Chicago/Turabian Style
Kashaninejad, N. 2019 "Analytical Modeling of Fluid Flow in Hydrophobic, Rectangular Microchannels with General Navier-Slip Boundary Conditions" Preprints. https://doi.org/10.20944/preprints201909.0061.v1
Abstract
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of the side walls should be taken into account, but also the classical assumption of no-slip boundary condition (BC) is no longer valid at the solid-liquid interface.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.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
