HIGH-ORDER BOUNDARY CONDITIONS FOR GASEOUS FLOWS IN RECTANGULAR MICRODUCTS

By C. Colin. 2001

150 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/a2a4540c68f11b95dae7c9cfa0b1340c09dc092f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Mechanical Engineering

Citations in the corpus

Validation of a Second-Order Slip Flow Model in Rectangular Microchannels (2004, unknown): “The resolution of the Navier-Stokes equation, searching the velocity in the form of a double Fourier series, leads to a simple form [30]”
A novel experimental setup for gas microflows (2010, methodology): “For a* = 0.089 and a = 0.9, a1 Dð Þ ¼ 0:3147; a2 D;a¼0:9ð Þ ¼ 2:3954; a3 D;a¼0:9ð Þ ¼ 4:1352 ð12Þ are obtained from the model developed in (Aubert and Colin 2001).”
Evolution of microchannel flow passages – Thermohydraulic performance and fabrication technology (2002, methodology): “Aubert and Colin [14] used a second order boundary condition at the wall.”
Challenges in Modeling Gas-Phase Flow in Microchannels: From Slip to Transition (2006, methodology): “However, experimental observations by Lalonde [40] and Aubert and Colin [41] have conclusively shown that first-order models underestimate the observed mass flow rate, demonstrating that the second-order contribution needs to increase the velocity at the wall.”
Evolution of Microchannel Flow Passages--Thermohydraulic Performance and Fabrication Technology (2003, background): “Aubert and Colin [14] point out that the Taylor series form of the velocity profile proposed by Ebert and Sparrow does not converge with the second order boundary condition and instead used a second order boundary condition at the wall.”
Gas Microflows in the Slip Flow Regime: A Critical Review on Convective Heat Transfer (2012, methodology): “Hydrodynamics of gases in such microchannels in the slip flow regime were analytically modeled, both with first-order [60] and second-order [59] boundary conditions.”
A review on slip models for gas microflows (2012, background): “where KnO is the Knudsen number outlet, P is the ratio of the inlet and outlet pressures, and C1 = (2 rv)/rv and C2 = 9/8 (Aubert and Colin 2001).”