Optimum shape and dimensions of ducts for convective heat transfer in laminar flow at constant wall temperature

Yılmaz, Alper; Büyükalaca, Orhan; Yılmaz, Tuncay

doi:10.1016/s0017-9310(99)00189-1

Cited by 57 publications

(32 citation statements)

References 6 publications

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“…Yilmaz et al [6] studied the optimum shape and dimensions for convective heat transfer of laminar flow at constant wall temperatures for ducts with parallel plate, circular, square and equilateral triangle geometries. Approximate equations were derived in the form of maximum dimensionless heat flux and optimum dimensionless hydraulic diameter in terms of the duct shape factors and the Prandlt number (Pr).…”

Section: Introductionmentioning

confidence: 99%

Constructal conjugate cooling channels with internal heat generation

Olakoyejo

Bello‐Ochende

Meyer

2012

International Journal of Heat and Mass Transfer

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This paper presents a geometric optimisation of conjugate cooling channels in forced convection with internal heat generation. Two configurations were studied; circular channels and square channels. The configurations were optimised in such a way that the peak temperatures were minimised subject to the constraint of fixed total global volume. The fluid was forced through the cooling channels by the pressure difference across the channels. The structure has one degree of freedom as design variable: channel hydraulic diameter and once the optimal channel hydraulic diameter is found, optimal elemental volume and channel-tochannel spacing result. A gradient-based optimisation algorithm is applied in order to search for the best and optimal geometric configurations that improve thermal performance by minimising thermal resistance for a wide range of dimensionless pressure difference. This optimiser adequately handles the numerical objective function obtained from CFD simulations. The results obtained show the behaviour of the applied pressure difference on the optimised geometry. There are unique optimal design variables for a given pressure difference. The numerical results obtained are in agreement with the theoretical formulation using scale analysis and method of intersection of asymptotes.

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Section: Introductionmentioning

confidence: 99%

Constructal conjugate cooling channels with internal heat generation

Olakoyejo

Bello‐Ochende

Meyer

2012

International Journal of Heat and Mass Transfer

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“…Bu yöntemlerde genel olarak verilen bir basınç kaybında ve ısı aktarımında minimum ısı eşanjör kesit alanı [3][4][5][6] veya minimum ısı eşanjör hacmi [7][8][9][10] hedef alınmaktadır. Bazılarında ise verilen bir basınç kaybı ve ısı aktarımında minimum eşanjör ilk yatırım ve işletme maliyeti istenmektedir.…”

Section: Gġrġġunclassified

Çapraz Akışlı Paralel Borulu Boru Demetinde Entropi Üretiminin Analitik ve Deneysel Olarak İncelenmesi

Yilmaz¹,

Yılmaz²

2016

Çukurova Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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“…Yilmaz et al [33] studied the optimum shape and dimensions for convective heat transfer of laminar flow at constant wall temperatures for ducts with parallel plate, circular, square and equilateral triangle geometries. Approximate equations were derived in the form of maximum dimensionless heat flux and optimum dimensionless hydraulic diameter in terms of the duct shape factors and the Prandlt number (Pr).…”

Section: Introductionmentioning

confidence: 99%

Constructal flow orientation in conjugate cooling channels with internal heat generation

Bello‐Ochende

Olakoyejo

Meyer

et al. 2013

International Journal of Heat and Mass Transfer

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This paper presents the development of the three-dimensional flow architecture of conjugate cooling channels in forced convection with internal heat generation within the solid for an array of circular cooling channels with different flow orientation. Three flow orientations were studied: array of channels with parallel flow; array of channels in which the flow in every second row is in a counter direction with its neighbours, and flows in all the arrays of channels are in counter flow relative to each other. The geometric configurations were determined in such a way that the peak temperature was minimised subject to the constraint of fixed global volume of solid material. The degrees of freedom of the design were hydraulic diameter and channel to channel spacing. A gradient-based optimisation algorithm was applied to search for the best optimal geometric configurations that improve thermal performance by minimising thermal resistance for a wide range of dimensionless pressure differences. The effect of porosities, applied pressure difference, flow orientation and heat generation rate on the optimal 2 hydraulic diameter and channel to channel spacing is reported. The results show that the effects of dimensionless pressure drop on minimum thermal resistance were consistent with those obtained in the open literature.

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Optimum shape and dimensions of ducts for convective heat transfer in laminar flow at constant wall temperature

Cited by 57 publications

References 6 publications

Constructal conjugate cooling channels with internal heat generation

Constructal conjugate cooling channels with internal heat generation

Çapraz Akışlı Paralel Borulu Boru Demetinde Entropi Üretiminin Analitik ve Deneysel Olarak İncelenmesi

Constructal flow orientation in conjugate cooling channels with internal heat generation

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