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Resistor-Network Formulation of Multitemperature Forced-Convection Problems

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RJ-3submitversion-s.pdf (1.02 MB)

Date

2016-09-07

Authors

Foroushani, Seyed Sepehr Mohaddes
Naylor, David
Wright, John L.

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Aeronautics and Astronautics

Abstract

Many convection heat transfer problems involve more than two isothermal heat sources/sinks. A network of multiple convective resistors connecting temperature nodes representing the isothermal sources (walls, inlet flows, etc.) can be used to represent this class of problem. However, the convective resistances that characterize this network cannot generally be evaluated using energy balances resulting from a single solution to the energy equation. A technique based on solutions of the energy equation with perturbed boundary conditions is developed to overcome this difficulty. The resulting technique is verified by comparison with energy-balance results previously obtained for a special symmetric case. The technique is also applied to a superposition solution for hydrodynamically developed laminar flow in an annulus and to numerical solutions of simultaneously developing flow in an asymmetrically heated annulus under both laminar and turbulent flow conditions. This work is part of an ongoing research project on the resistor-network modeling and characterization of multitemperature convection problems.

Description

Please note that this file contains the final draft version of this technical paper. Minor differences will be found between this version and the final version printed by the publisher. The reader should contact the publisher if the final version, as printed, is preferred. Copyright © 2016 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper may be made for personal and internal use, on condition that the copier pay the per-copy fee to the Copyright Clearance Center (CCC). All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0887-8722 (print) or 1533-6808 (online) to initiate your request. Foroushani, S., Naylor, D., & Wright, J. L. (2016). Resistor-Network Formulation of Multitemperature Forced-Convection Problems. Journal of Thermophysics and Heat Transfer, 1–8. https://doi.org/10.2514/1.T4993

Keywords

Resistor, Network, Convection, Perturbation, dQdT

LC Keywords

Citation

URI

https://doi.org/10.2514/1.T4993
 http://hdl.handle.net/10012/11635

Collections

Waterloo Research
Mechanical and Mechatronics Engineering