Preconditioning method applied to near-critical carbon-dioxide flows in micro-channel

Satoru Yamamoto; Masayuki Toratani; Yasuhiro Sasao

doi:10.1299/jsmeb.48.532

Preconditioning method applied to near-critical carbon-dioxide flows in micro-channel

Satoru Yamamoto, Masayuki Toratani, Yasuhiro Sasao

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A numerical method for simulating near-critical carbon-dioxide flows in a micro-channel is presented. This method is based on the preconditioning method applied to the compressible Navier-Stokes equations. The Peng-Robinson equation of state is introduced to evaluate the properties of near-critical fluids. As numerical examples, Near-critical carbon-dioxide flows in a square cavity and in a micro-channel are calculated and the calculated results are compared with the experimental data and the theoretical results. Finally, we demonstrate that the compressibility dominates the near-critical carbon-dioxide flows in a micro-channel even if the flow is very slow and the Reynolds number is very low.

Original language	English
Pages (from-to)	532-539
Number of pages	8
Journal	JSME International Journal, Series B: Fluids and Thermal Engineering
Volume	48
Issue number	3
DOIs	https://doi.org/10.1299/jsmeb.48.532
Publication status	Published - 2006 Feb 15

Keywords

Micro-channel
Near-critical fluids
Numerical method
Preconditioning method

ASJC Scopus subject areas

Mechanical Engineering
Physical and Theoretical Chemistry
Fluid Flow and Transfer Processes

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abstract = "A numerical method for simulating near-critical carbon-dioxide flows in a micro-channel is presented. This method is based on the preconditioning method applied to the compressible Navier-Stokes equations. The Peng-Robinson equation of state is introduced to evaluate the properties of near-critical fluids. As numerical examples, Near-critical carbon-dioxide flows in a square cavity and in a micro-channel are calculated and the calculated results are compared with the experimental data and the theoretical results. Finally, we demonstrate that the compressibility dominates the near-critical carbon-dioxide flows in a micro-channel even if the flow is very slow and the Reynolds number is very low.",

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AU - Yamamoto, Satoru

AU - Toratani, Masayuki

AU - Sasao, Yasuhiro

PY - 2006/2/15

Y1 - 2006/2/15

N2 - A numerical method for simulating near-critical carbon-dioxide flows in a micro-channel is presented. This method is based on the preconditioning method applied to the compressible Navier-Stokes equations. The Peng-Robinson equation of state is introduced to evaluate the properties of near-critical fluids. As numerical examples, Near-critical carbon-dioxide flows in a square cavity and in a micro-channel are calculated and the calculated results are compared with the experimental data and the theoretical results. Finally, we demonstrate that the compressibility dominates the near-critical carbon-dioxide flows in a micro-channel even if the flow is very slow and the Reynolds number is very low.

AB - A numerical method for simulating near-critical carbon-dioxide flows in a micro-channel is presented. This method is based on the preconditioning method applied to the compressible Navier-Stokes equations. The Peng-Robinson equation of state is introduced to evaluate the properties of near-critical fluids. As numerical examples, Near-critical carbon-dioxide flows in a square cavity and in a micro-channel are calculated and the calculated results are compared with the experimental data and the theoretical results. Finally, we demonstrate that the compressibility dominates the near-critical carbon-dioxide flows in a micro-channel even if the flow is very slow and the Reynolds number is very low.

KW - Micro-channel

KW - Near-critical fluids

KW - Numerical method

KW - Preconditioning method

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