Application of the Moment Method in the Slip and Transition Regime for Microfluidic Flows

Abstract

Gas flows in microfluidic devices suffer from non-equilibrium effects. To capture various non-equilibrium phenomena in the slip and early transition regime, the hydrodynamic system is extended from the Navier- Stokes-Fourier equations to the regularised 26 moment equations via Grad s moment method based on kinetic theory. It is shown in this lecture that the extended hydrodynamic equations can be effectively applied to micro-electro-mechanical-systems analytically and numerically. Well known non-equilibrium phenomenon, such as Knudsen layers and the Knudsen minimum, are used to validate the extended hydrodynamic model. It is demonstrated that the moment method can be used to predict gas flows in micro-electro-mechanical-systems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2011
Accession Number
ADA587244

Entities

People

  • David R. Emerson
  • Xiao-jun Gu

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Couette Flow
  • Differential Equations
  • Energy Transfer
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Gas Flow
  • Heat Transfer
  • Kinetic Theory
  • Knudsen Number
  • Mean Free Path
  • Poiseuille Flow

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Microelectronics
  • Microelectronics - Microelectromechanical Systems