The Inverse Estimation of Local Heat Transfer Coefficient in a Vertical Plate Fin with Its Base Subjected to Periodically Oscillated Temperature

Chang, Min‐Hsing; Lin, Jiin-Hong; Chen, Cha'o. Kuang

doi:10.1080/10407782.2001.10120636

Cited by 7 publications

(7 citation statements)

References 21 publications

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“…Using the conjugate gradient method (CGM) as an optimization tool, Chen et al [3] have estimated the heat flux at the base of a pin fin from the knowledge of temperature distributions. Chang et al [4] have estimated the local heat transfer coefficient in a fin where the base of the fin was subjected to an oscillating temperature. The finite-difference method (FDM) in conjunction with the least-squares method (LSM) was used in their inverse problem.…”

Section: Introductionmentioning

confidence: 99%

“…The required temperature or heat flux distributions can be obtained either from experiments or by solving a forward problem using any computational fluid dynamics (CFD) techniques such as the FDM, the finite-element method, the finite-volume method, and so on. For the purpose of optimization, the suitable tools are the CGM [3,5], the LSM [4,6], the SSM [10,11], the GA [9,12,13], and so on. Additional details about the suitable optimization methods available for solving inverse problems can be found in reference [14].…”

Section: Introductionmentioning

confidence: 99%

“…In view of these observations, the present work is aimed at developing an inverse algorithm for simultaneous estimation of "three parameters" in a radial fin geometry involving conduction-convection heat transfer. Since, the FDM is one of the most suitable forward methods [4][5][6]9] for inverse heat transfer analysis through fins, in the present work it is used for calculating the local temperature distributions. For the purpose of regularization/optimization, the SSM [10,11] is used due to its simplicity and less time-consuming nature.…”

Section: Introductionmentioning

confidence: 99%

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Three-Parameter Estimation Study in a Radial Fin Geometry Using FDM-Based Simplex Method

Das

2014

Heat Transfer Engineering

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Estimation of three parameters is done in a conductive-convective radial fin from the knowledge of steady-state temperature distribution. The three parameters are the thermal conductivity, the inner radius, and the thickness of the fin. In order to demonstrate the estimation methodology, using some known values of these three parameters, a forward problem using the finite-difference method (FDM) is solved to obtain the required temperature field. Using this temperature distribution, next an inverse method based on the Nelder-Mead simplex search optimization method is used for retrieving the unknown parameters. The relatively difficult among the estimated parameters are identified and the relative sensitiveness of the estimated parameters to the measurement errors is studied in detail. The results obtained from the inverse method are benchmarked with the forward method (FDM) and the analytical solution. Even for three-parameter retrievals, the study demonstrates that although a good reconstruction of the temperature field is possible, ill-posed behavior occurs for estimations with multiple parameters.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three-Parameter Estimation Study in a Radial Fin Geometry Using FDM-Based Simplex Method

Das

2014

Heat Transfer Engineering

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“…The method is used to determine the thermal conditions by Yang [15,16], Lin et al [17], and Hsu et al [18], to estimate the thermophysics properties by Yang [19], Lin et al [20], and Chang et al [21], to solve the dynamics by Yang [22], Shaw [23], and Kau and Yang [24], and to deal with the manufacturing problems by Hong and Lo [25] and Lee et al [26]. However, there are two problems in the reverse matrix approach.…”

Section: Introductionmentioning

confidence: 99%

“…Many researches [15][16][17][18][19][20][21][22][23][24][25][26] in various domains have used the reverse matrix method to solve the inverse problems. The method is used to determine the thermal conditions by Yang [15,16], Lin et al [17], and Hsu et al [18], to estimate the thermophysics properties by Yang [19], Lin et al [20], and Chang et al [21], to solve the dynamics by Yang [22], Shaw [23], and Kau and Yang [24], and to deal with the manufacturing problems by Hong and Lo [25] and Lee et al [26].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the effect of the measurement with the abrupt noise and the number of approximated terms in conductional boundary estimation problem

Shiau¹,

Yang²

2009

Applied Mathematical Modelling

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a b s t r a c tA direct error vector analysis of inverse heat conduction problem is presented to detect the measured noise. Based on the reverse matrix approach that the inverse problem is solved directly in a linear domain, and the error vector is formulated from the difference between the measured temperature and the estimated temperature. There is no prior knowledge on the exact solution while the error vector is constructed. The error vector is used to investigate the consistence of the measured data in the domain and lead to detect the noise data. Furthermore, the proper number of the undetermined variable is able to suggest based on the mean value of the error vector and the value of the condition number of the reverse matrix. In the first example, a test problem with the measurement noise is presented. The estimated result is influent by the noise globally. The result shows that the value of error vector is changed significantly at the coordinate of the measurement noise appeared. In other words, the error vector analysis is able to identify the noise data. In the second example, the proper number of series expansion terms is investigated. From the result, it shows that the number of expansion terms with the small mean value and condition number can better approximate to the unknown condition. It means that the proposed method is able to suggest a proper number of expansion terms when the function of the recovered boundary is unknown.

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A simplex search method for a conductive–convective fin with variable conductivity

Das

2011

International Journal of Heat and Mass Transfer

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The Inverse Estimation of Local Heat Transfer Coefficient in a Vertical Plate Fin with Its Base Subjected to Periodically Oscillated Temperature

Cited by 7 publications

References 21 publications

Three-Parameter Estimation Study in a Radial Fin Geometry Using FDM-Based Simplex Method

Three-Parameter Estimation Study in a Radial Fin Geometry Using FDM-Based Simplex Method

Investigation of the effect of the measurement with the abrupt noise and the number of approximated terms in conductional boundary estimation problem

A simplex search method for a conductive–convective fin with variable conductivity

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