Resistor-Network Formulation of Multi-Temperature Free Convection Problems
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Date
2017-01-11
Authors
Naylor, David
Wright, John L.
Foroushani, Seyed Sepehr Mohaddes
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Aeronautics and Astronautics
Abstract
In recent work, the resistor-network formulation of forced-convection problems and a technique (dQdT) for evaluating the paired convective resistances that characterize the network were presented. This technique entails solutions of the energy equation with perturbed boundary conditions. In the present paper, the dQdT technique is extended to free convection. The analytical solution to the classical two-temperature problem of free convection at an isothermal vertical flat plate is used to verify the technique. Then, dQdT is applied to the three-temperature problem of free convection in an asymmetrically heated vertical channel based on numerical solutions of the energy equation. Sample results are presented and known limits are discussed to demonstrate the validity of the results. This paper is part of a series on the resistor-network formulation of convection problems.
Description
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., Wright, J. L., & Naylor, D. (2017). Resistor-Network Formulation of Multitemperature Free-Convection Problems. Journal of Thermophysics and Heat Transfer, 1–6. https://doi.org/10.2514/1.T5024
Keywords
Resistor, Network, Convection, Perturbation, dQdT