Pressure- and temperature-driven flow through triangular and trapezoidal microchannels

Konstantinos Ritos, Yiannis Lihnaropoulos, Stergios Naris, Dimitris Valougeorgis

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A detailed study of pressure- and temperature-driven flows through long channels of triangular and trapezoidal cross sections is carried out. Due to the imposed pressure and temperature gradients there is a combined gas flow consisting of a thermal creep flow from the cold toward the hot reservoir and a Poiseuille flow from the high- toward the low-pressure reservoir. The formulation is based on the linearized Shakhov model subject to Maxwell boundary conditions, and it is solved numerically using a finite-difference scheme in the physical space and the discrete velocity method in the molecular velocity space. The results are valid in the whole range of the Knudsen number. In addition to the dimensionless flow rates, a methodology is presented to estimate for a certain set of input data the mass flow rates and the pressure distribution along the channel. Finally, special attention is given to the case of zero net mass flow and to the computation of the coefficient of the thermomolecular pressure difference.
Original languageEnglish
Pages (from-to)1101-1107
Number of pages7
JournalHeat Transfer Engineering
Volume32
Issue number13-14
DOIs
Publication statusPublished - 13 Oct 2011

    Fingerprint

Cite this