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.
LanguageEnglish
Pages1101-1107
Number of pages7
JournalHeat Transfer Engineering
Volume32
Issue number13-14
DOIs
Publication statusPublished - 13 Oct 2011

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microchannels
Microchannels
Knudsen flow
mass flow rate
mass flow
laminar flow
pressure gradients
pressure distribution
Flow rate
gas flow
temperature gradients
low pressure
flow velocity
methodology
boundary conditions
Pressure gradient
formulations
Pressure distribution
Thermal gradients
Temperature

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Ritos, Konstantinos ; Lihnaropoulos, Yiannis ; Naris, Stergios ; Valougeorgis, Dimitris. / Pressure- and temperature-driven flow through triangular and trapezoidal microchannels. In: Heat Transfer Engineering. 2011 ; Vol. 32, No. 13-14. pp. 1101-1107.
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Pressure- and temperature-driven flow through triangular and trapezoidal microchannels. / Ritos, Konstantinos; Lihnaropoulos, Yiannis; Naris, Stergios; Valougeorgis, Dimitris.

In: Heat Transfer Engineering, Vol. 32, No. 13-14, 13.10.2011, p. 1101-1107.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Pressure- and temperature-driven flow through triangular and trapezoidal microchannels

AU - Ritos, Konstantinos

AU - Lihnaropoulos, Yiannis

AU - Naris, Stergios

AU - Valougeorgis, Dimitris

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N2 - 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.

AB - 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.

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