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An optimum design method for a thermal-fluid device incorporating multiobjective topology optimization with an adaptive weighting scheme

[+] Author and Article Information
Yuki Sato

Ph.D. Candidate, Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University, Kyoto, 615-8540, Japan
satou.yuuki.87x@st.kyoto-u.ac.jp

Kentaro Yaji

Assistant Professor, Department of Mechanical Engineering, Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
yaji@mech.eng.osaka-u.ac.jp

Kazuhiro Izui

Associate Professor, Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University, Kyoto, 615-8540, Japan
izui@me.kyoto-u.ac.jp

Takayuki Yamada

Assistant Professor, Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University, Kyoto, 615-8540, Japan
takayuki@me.kyoto-u.ac.jp

Shinji Nishiwaki

Professor, Department of Mechanical Engineering and Science, Graduate School of Engineering, Kyoto University, Kyoto, 615-8540, Japan
shinji@prec.kyoto-u.ac.jp

1Corresponding author.

ASME doi:10.1115/1.4038209 History: Received May 23, 2017; Revised September 29, 2017

Abstract

This paper proposes an optimum design method for a two-dimensional micro-channel heat sink under a laminar flow assumption that simultaneously provides maximal heat exchange and minimal pressure drop, based on a topology optimization method incorporating Pareto front exploration. First, the formulation of governing equations for the coupled thermal-fluid problem and a level set-based topology optimization method are briefly discussed. Next, an optimum design problem for a micro-channel heat sink is formulated as a bi-objective optimization problem. An algorithm for Pareto front exploration is then constructed, based on a scheme that adaptively determines weighting coefficients by solving a linear programming problem. Finally, in the numerical example, the proposed method yields a Pareto front approximation and enables the analysis of the trade-off relationship between heat exchange and pressure drop, confirming the utility of the proposed method.

Copyright (c) 2017 by ASME
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