Inverse Estimation of Cooling Heat Flux in Spray Cooling of Hot Surface Based on Dual-Phase-Lag Model

Wen Lih Chen, Kuo Chi Liu, Yu Ching Yang, Haw Long Lee, Win Jin Chang

Research output: Contribution to journalArticle

Abstract

An inverse analysis technique based on the conjugate gradient method (CGM) and the discrepancy principle is employed to estimate the time-wise variation of the unknown cooling heat flux in the spray cooling of a hot surface. In contrast to previous studies, the heat conduction equation of the cooled surface is formulated using a dual-phase-lag (DPL) model. In addition, no assumptions are made regarding the functional form of the cooling heat flux. The simulation data required to conduct the inverse analysis are generated by adding random errors to the calculated exact temperatures at the boundaries and interior of the hot body. The validity of the inverse solutions is demonstrated numerically by means of two illustrative examples. Moreover, the sensitivity of the estimation results to the measurement error and measurement location is systematically explored. Overall, the results show that the proposed method provides a robust and accurate approach for estimating the unknown time-dependent cooling heat flux in typical industrial spray cooling applications.

Original languageEnglish
JournalInternational Journal of Computational Methods
DOIs
Publication statusAccepted/In press - 2019 Jan 1

Fingerprint

Phase-lag
Spray
Heat Flux
Cooling
Heat flux
Inverse Analysis
Discrepancy Principle
Unknown
Heat Conduction Equation
Conjugate gradient method
Model
Random errors
Random Error
Conjugate Gradient Method
Measurement errors
Heat conduction
Measurement Error
Interior
Estimate
Simulation

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

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abstract = "An inverse analysis technique based on the conjugate gradient method (CGM) and the discrepancy principle is employed to estimate the time-wise variation of the unknown cooling heat flux in the spray cooling of a hot surface. In contrast to previous studies, the heat conduction equation of the cooled surface is formulated using a dual-phase-lag (DPL) model. In addition, no assumptions are made regarding the functional form of the cooling heat flux. The simulation data required to conduct the inverse analysis are generated by adding random errors to the calculated exact temperatures at the boundaries and interior of the hot body. The validity of the inverse solutions is demonstrated numerically by means of two illustrative examples. Moreover, the sensitivity of the estimation results to the measurement error and measurement location is systematically explored. Overall, the results show that the proposed method provides a robust and accurate approach for estimating the unknown time-dependent cooling heat flux in typical industrial spray cooling applications.",
author = "Chen, {Wen Lih} and Liu, {Kuo Chi} and Yang, {Yu Ching} and Lee, {Haw Long} and Chang, {Win Jin}",
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language = "English",
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Inverse Estimation of Cooling Heat Flux in Spray Cooling of Hot Surface Based on Dual-Phase-Lag Model. / Chen, Wen Lih; Liu, Kuo Chi; Yang, Yu Ching; Lee, Haw Long; Chang, Win Jin.

In: International Journal of Computational Methods, 01.01.2019.

Research output: Contribution to journalArticle

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AU - Chen, Wen Lih

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AU - Chang, Win Jin

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