scholarly journals Pressure-Driven Gas Flows in Micro Channels with a Slip Boundary: A Numerical Investigation

2020 ◽  
Vol 16 (2) ◽  
pp. 147-159
Author(s):  
A. Aissa ◽  
M. E. A. Slimani ◽  
F. Mebarek-Oudina ◽  
R. Fares ◽  
A. Zaim ◽  
...  
Keyword(s):  
Numerical Investigation ◽  
Gas Flows ◽  
Slip Boundary ◽  
Micro Channels ◽  
Pressure Driven

Pressure-driven diffusive gas flows in micro-channels: from the Knudsen to the continuum regimes

2008 ◽  
Vol 6 (5) ◽  
pp. 679-692 ◽  
Author(s):  
Nishanth Dongari ◽  
Ashutosh Sharma ◽  
Franz Durst
Keyword(s):  
Gas Flows ◽  
Micro Channels ◽  
The Continuum ◽  
Pressure Driven

A High Order Theory for an Isothermal Rarefied Gas Flow in Micro Channels

2003 ◽  
Author(s):  
Nevena D. Stevanovic
Keyword(s):  
Small Parameter ◽  
Gas Flow ◽  
Rarefied Gas ◽  
Reynolds Numbers ◽  
Order Theory ◽  
Gas Flows ◽  
Regular Perturbation ◽  
Micro Electro Mechanical Systems ◽  
Slip Boundary ◽  
Micro Channels

Gas flows take place in a number of micro-electro-mechanical systems (MEMS). Since the dimensions of the MEMS are within μm range, it is necessary to take into account the gas rarefaction effects in investigations of these flows. This paper presents the solution and analysis of isothermal compressible gas flow through micro channels with slow varying cross section under low Mach number conditions. The problem is solved by the introduction of the small parameter ε that presents the square of the Mach and Reynolds numbers ratio. Small parameter ε is used in a regular perturbation analysis of the problem. The exact dependence among Mach, Reynolds and Knudsen number is utilized, which leads to accurate prediction of the influence of the inertia forces and the slip boundary conditions.

A higher-order Hele-Shaw approximation with application to gas flows through shallow micro-channels

2009 ◽  
Vol 638 ◽  
pp. 141-160 ◽  
Author(s):  
A. D. GAT ◽  
I. FRANKEL ◽  
D. WEIHS
Keyword(s):  
Slip Boundary Condition ◽  
Channel Cross Section ◽  
Gas Flows ◽  
Present Scheme ◽  
Slip Boundary ◽  
Compressible Viscous Gas ◽  
Micro Channels ◽  
Fluidic Devices ◽  
Improved Accuracy

The classic hydrodynamic Hele-Shaw problem is revisited in the context of evaluating the viscous resistance to low-Mach compressible viscous gas flows through shallow non-uniform micro-fluidic configurations. Our recent study of gas flows through constricted shallow micro-channels indicates that the failure of the standard Hele-Shaw approximation to satisfy the no-slip boundary condition at the sidewalls severely restricts its applicability. To overcome this we have extended the asymptotic scheme to incorporate an inner solution in the vicinity of the sidewalls (which, in turn, allows for the characterization of the effects of channel cross-section geometry) and its matching to an outer correction. We have compared the results of the present asymptotic analysis to existing exact analytic and numerical results for straight and uniform channels and to finite-element simulations for a 90° turn and a symmetric T-junction, which demonstrate a remarkably improved accuracy relative to the standard Hele-Shaw approximation. This suggests the present scheme as a viable alternative for the rapid performance estimate of micro-fluidic devices.

scholarly journals Thermal-Pressure-Driven Gas Flows through Micro Channels

2012 ◽  
Vol 362 ◽  
pp. 012045
Author(s):  
Hassan Akhlaghi Akhlaghi ◽  
Ehsan Roohi
Keyword(s):  
Gas Flows ◽  
Thermal Pressure ◽  
Micro Channels ◽  
Pressure Driven

Reconsideration of the implicit boundary conditions in pressure driven rarefied gas flows through capillaries

Vacuum ◽  
2019 ◽  
Vol 160 ◽  
pp. 114-122 ◽  
Author(s):  
Giorgos Tatsios ◽  
Dimitris Valougeorgis ◽  
Stefan K. Stefanov
Keyword(s):  
Boundary Conditions ◽  
Rarefied Gas ◽  
Gas Flows ◽  
Rarefied Gas Flows ◽  
Pressure Driven
Sign in / Sign up

Export Citation Format

Share Document