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Research Papers

Achieving Heat Flux Uniformity Using an Optimal Arrangement of Impinging Jet Arrays

[+] Author and Article Information
M. Forouzanmehr

School of Mechanical Engineering,
University College of Engineering,
University of Tehran,
Tehran 1439957131, Iran
e-mail: forouzanmehr@ut.ac.ir

H. Shariatmadar

School of Mechanical Engineering,
University College of Engineering,
University of Tehran,
Tehran 1439957131, Iran
e-mail: h.shariatmadar@ut.ac.ir

F. Kowsary

School of Mechanical Engineering,
University College of Engineering,
University of Tehran,
Tehran 1439957131, Iran
e-mail: fkowsari@ut.ac.ir

M. Ashjaee

School of Mechanical Engineering,
University College of Engineering,
University of Tehran,
Tehran 1439957131, Iran
e-mail: ashjaee@ut.ac.ir

1Corresponding author.

Manuscript received December 17, 2013; final manuscript received July 3, 2014; published online March 17, 2015. Assoc. Editor: Cesare Biserni.

J. Heat Transfer 137(6), 061002 (Jun 01, 2015) (8 pages) Paper No: HT-13-1653; doi: 10.1115/1.4029848 History: Received December 17, 2013; Revised July 03, 2014; Online March 17, 2015

In order to achieve uniform distribution of heat flux over an isothermal heated target surface, a numerical algorithm is developed to obtain an optimized array of four laminar impinging slot jets. Root mean square deviation of the local Nusselt distribution from the desired Nusselt number is considered as the objective function. Jets' widths, jet-to-jet and jet-to-surface spacings, and the overall flow rate are chosen as design variables. Conjugate gradients method along with backtracking line search is applied to optimize the objective function calculated by numerical simulation for three different cases of Nu = 7, 9, and 11. For each of these desired Nusselt numbers, an almost uniform distribution of local Nusselt number with percent of root mean square error less than 2.5% is achieved in fewer than 12 iterations. An experimental study using a Mach–Zehnder interferometer (MZI) has been performed. The measured distribution of local Nusselt number is in good agreement with numerical results in all three optimal configurations.

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Figures

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Fig. 1

Schematic of the design surface

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Fig. 2

Experimental setup

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Fig. 7

Experimental and numerical local Nusselt distribution for (a) Nu = 7, (b) Nu = 9, and (c) Nu = 11

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Fig. 8

Experimental (right) and numerical (left) isotherms for (a) Nu = 7, (b) Nu = 9, and (c) Nu = 11

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Fig. 3

Schematic of the MZI

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Fig. 5

Temperature field for different iterations (a) iteration 1, (b) iteration 2, (c) iteration 5, and (d) iteration 11

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Fig. 6

Convergence history of (a) Reynolds number, (b) W1, (c) W2, (d) G1, (e) G2, and (f) H

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Fig. 4

Convergence history of local Nusselt number and Erms for (a) Nu = 7, (b) Nu = 9, and (c) Nu = 11

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