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Development and validation of an incompressible Navier-Stokes solver including convective heat transfer

Konstantinos Stokos (Department of Mechanical Engineering, National Technical University of Athens, Athens, Greece.)
Socrates Vrahliotis (Department of Mechanical Engineering, National Technical University of Athens, Athens, Greece.)
Theodora Pappou (FiDES DV-Partner GmbH, Munich, Germany.)
Sokrates Tsangaris (Department of Mechanical Engineering, National Technical University of Athens, Athens, Greece.)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 May 2015

275

Abstract

Purpose

The purpose of this paper is to present a numerical method for the simulation of steady and unsteady incompressible laminar flows, including convective heat transfer.

Design/methodology/approach

A node centered, finite volume discretization technique is applied on hybrid meshes. The developed solver, is based on the artificial compressibility approach.

Findings

A sufficient number of representative test cases have been examined for the validation of this numerical solver. A wide range of the various dimensionless parameters were applied for different working fluids, in order to estimate the general applicability of our solver. The obtained results agree well with those published by other researchers. The strongly coupled solution of the governing equations showed superiority compared to the loosely coupled solution as inviscid effects increase.

Practical implications

Convective heat transfer is dominant in a wide variety of practical engineering problems, such as cooling of electronic chips, design of heat exchangers and fire simulation and suspension in tunnels.

Originality/value

A comparison between the strongly coupled solution and the loosely coupled solution of the Navier-Stokes and energy equations is presented. A robust upwind scheme based on Roe’s approximate Riemann solver is proposed.

Keywords

Acknowledgements

Most of the computations were performed on the high-performance platform “VELOS” of the Laboratory of Thermal Turbomachines, Parallel CFD and Optimization Unit, School of Mechanical Engineering of the National Technical University of Athens. This work was funded under the EUROSTARS Project (E!5292) “Structural and Aerodynamic Design of TUNnels under Fire Emergency Conditions” from: the Greek General Secretariat for Research and Technology, Bundesministerium fur Bildung and Forschung (BMBF), FiDES DV-Partner GmbH, Germany and ELXIS Engineering Consultants S.A. It was also funded from the Greek State Scholarships Foundation.

Citation

Stokos, K., Vrahliotis, S., Pappou, T. and Tsangaris, S. (2015), "Development and validation of an incompressible Navier-Stokes solver including convective heat transfer", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 4, pp. 861-886. https://doi.org/10.1108/HFF-01-2014-0023

Publisher

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Emerald Group Publishing Limited

Copyright © 2015, Emerald Group Publishing Limited

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