Numerical Optimization of Porous Pin Fins in a Rectangular Channel / 矩形渠道內多孔性材質柱狀鰭片之數值最佳化

碩士 / 國立成功大學 / 機械工程學系碩博士班 / 101 / In this study, the multi-parameter constrained optimization procedure integrating the design of experiments (DOE), full factorial experimental design (FFED), genetic algorithm (GA) and computational fluid dynamics (CFD) is proposed to design three-dimensional porous pin fins in a Rectangular Channel. The Forchheimer-Brinkman extended Darcy model and two-equation energy model are adopted to describe the fluid flow and heat transfer characteristics in the porous media. The elliptical, coupled, steady-state, three-dimensional governing partial differential equations for laminar forced convection with porous pin fins in a rectangular channel are solved numerically using the finite volume approach.
The parameters studied include Reynolds number (Re = 1000~2300), the height of porous pin fins (h = 6 mm、8 mm、10 mm), and the pitch of porous pin fins (p = 4.52mm、5.52 mm、6.52 mm). The numerical results are first validated with the available data in the literature, and a good agreement has been found. Circular porous pin fins both are in-line and staggered arrangements are compared in the thermal performance. The numerical results show that the fin height is a key flow parameter and the flow resistance increases significantly and the thermal resistance decrease significantly for both in-line and staggered arrangements. The influences of in –line versus staggered array on the overall heat transfer efficiencies are not noticeable.
In addition,after the validation of the numerical results, genetic algorithm (GA) is applied for the optimization of the porous pin-fin. Two nondimensional variables, pin fin height-to-channel height ratio(α) and pin-fin pitch-to-channel height ratio (β) are chosen as design variables.
The overall heat transfer efficiency due to heat flux and pressure drop across the porous pin fins is maximized by using GA. Through optimization, the objective function is successfully improved with respect to the reference geometry. The numerical optimization provides a reliable and economic means of designing a heat transfer channel with porous pin fin arrays.

Identiferoai:union.ndltd.org:TW/101NCKU5490086
Date January 2013
CreatorsShao-EnChung, 鍾紹恩
ContributorsYue-Tzu Yang, 楊玉姿
Source SetsNational Digital Library of Theses and Dissertations in Taiwan
Languagezh-TW
Detected LanguageEnglish
Type學位論文 ; thesis
Format115

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