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Research Papers: Forced Convection

Estimating the Wall Heat Flux of Unsteady Conjugated Forced Convection Between Two Corotating Disks Using an Inverse Solution Scheme

[+] Author and Article Information
David T. W. Lin1

Insitute of Engineering Technology, National University of Tainan, Tainan City 700, Taiwan, R.O.C.david@mail.nutn.edu.tw

Hung Yi Li, Wei Mon Yan

Department of Mechatronic Engineering, Huafan University, Shih Ting, Taipei 223, Taiwan, R.O.C.

1

Corresponding author.

J. Heat Transfer 130(12), 121702 (Sep 24, 2008) (8 pages) doi:10.1115/1.2976788 History: Received October 24, 2007; Revised April 21, 2008; Published September 24, 2008

An inverse solution scheme based on the conjugate gradient method with the minimization of the object function is presented for estimating the unknown wall heat flux of conjugated forced convection flows between two corotating disks from temperature measurements acquired within the flow field. The validity of the proposed approach is demonstrated via the estimation of three time- and space-dependent heat flux profiles. A good agreement is observed between the estimated results and the exact solution in every case. In general, the accuracy of the estimated results is found to improve as the temperature sensors are moved closer to the unknown boundary surface and the error in the measured temperature data is reduced.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 7

Comparison of the exact result and inverse results (σ=0.03 and σ=0.06) for the Case 3 heat flux profile (Z1=0.9)

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Figure 8

Variation of the absolute average error with the sensor location as a function of the measurement error for the Case 3 heat flux profile

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Figure 1

Geometry and coordinate system

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Figure 2

Comparison of the exact result and inverse results (σ=0.03 and σ=0.06) for the Case 1 heat flux profile (Z1=0.9)

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Figure 3

Variation of the absolute average error with the (a) measurement error as a function of sensor location and (b) the sensor location as a function of the measurement error for the Case 1 heat flux profile

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Figure 4

Comparison of the exact result and inverse results (σ=0.03) for the Case 1 heat flux profile as a function of the sensor location

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Figure 5

Comparison of the exact result and inverse results for the Case 2 heat flux profile: (a) σ=0.03 and σ=0.06 (Z1=0.9) and (b) Z1=0.0, Z1=0.5, and Z1=0.9 (σ=0.03)

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Figure 6

Variation of the absolute average error with the sensor location as a function of the measurement error for the Case 2 heat flux profile

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