A three-dimensional inverse problem in imaging the local heat transfer coefficients for plate finned-tube heat exchangers

Huang, Cheng‐Hung; Yuan, I-Cha; Ay, Herchang

doi:10.1016/s0017-9310(03)00157-1

Cited by 54 publications

(18 citation statements)

References 5 publications

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“…In this one-sensor case, the covariance matrix R of the measurement noise is reduced to a scalar quantity equal to the variance 2 m σ where the standard deviation relative to the measurement noise is taken as Inversion results of the Kalman filter and the Kalman smoother are validated by using the Raynaud and Bransier inverse method. The accuracy of estimated surface conditions is also analyzed by superposing computed (calculated with the estimated heat flux density) and measured temperatures and by calculating the relative error between these two temperatures defined as [10],…”

Section: Resultsmentioning

confidence: 99%

Experimental validation of an extended Kalman smoothing technique for solving nonlinear inverse heat conduction problems

Daouas

Radhouani

2007

Inverse Problems in Science and Engineering

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-A new approach combining the use of the Kalman filter with an extended version of a smoothing technique and introducing the use of future time measurements is developed in order to improve the solution of a nonlinear Inverse Heat Conduction Problem (IHCP). The behavior of the proposed algorithm is analyzed in presence of a real set of experimental noisy temperature measurements. Estimation results are validated by using a space marching technique proposed by Raynaud and Bransier whose performance is already known for the solution of the nonlinear IHCP. The influence of the number of future time data on the precision and the stability of the solution is analyzed according to the inverse time step, the location of measurement sensor and the standard deviation associated with the modeling error. INTRODUCTIONDue to the diffusive nature of the heat conduction, surface temperature changes are damped and lagged in the interior of the solid. So small inaccuracies in the measured interior temperatures can cause large oscillations in the estimated surface conditions which can show a time lag dependent on the measurement location. Based on the fact that the response of a temperature sensor placed at a distance below a heated surface can continue to rise even after the applied surface heat flux returns to zero, Beck was the first to recognize that a precise estimation of surface conditions requires the use of temperatures measured at times ulterior to the time of estimation and known as future time measurements, [12].The use of future temperatures was first applied by Beck in In this study, we introduce the use of future time measurements in a new approach combining the Kalman filter, [6] with an extended version of a smoothing technique. The proposed algorithm is developed in order to improve the solution of a nonlinear transient one-dimensional IHCP involving reconstruction of the heat flux density and the temperature at the surface of a cylindrical heat conducting solid. The aim of this work is to analyze the behavior of the extended Kalman smoothing technique in presence of a real set of experimental noisy temperature measurements.The influence of the number of future time data on the accuracy and the stability of the solution is studied according to the location of measurement sensors, the standard deviation associated with the modeling error and the inverse time step. Estimation results are validated with the solution of the space marching technique proposed by Raynaud and Bransier in [16], which is simple, rapid and easily adapt to nonlinear problems and whose performance is already known as shown in [15].

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Section: Resultsmentioning

confidence: 99%

Experimental validation of an extended Kalman smoothing technique for solving nonlinear inverse heat conduction problems

Daouas

Radhouani

2007

Inverse Problems in Science and Engineering

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“…The inverse problems of heat conduction are among the most widely used to determine these coefficients. Huang et al [18] and Benmachiche et al [19] applied the conjugate gradient method, which is based on an inverse algorithm scheme, to estimate the local heat transfer coefficients over finned-tube heat exchangers. Ay et al [20] presented a local study of the heat transfer coefficient over the plate fin inside heat exchangers.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Analysis on Thermal Performance of the Flat Plate Solar Air Collector

Aissaoui¹,

Benmachiche²,

Brima³

et al. 2016

IJHT

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Experimental and Theoretical investigation is presented to simulate the heat transfer in flat-plate single pass solar air collector working in forced convection. The complexity of the mathematical models of these phenomena has led researchers to conduct studies related to this field based on several simplifying assumptions, such as, the convective heat transfer coefficient is considered as constant. In this research work, initially, an experimental study is performed using thermocouples to measure temperature distributions on solar air heater components. The different measured temperatures of the absorber plate, air flow and bottom plate are used to determine the local convective heat transfer coefficients. Secondly, the problem is treated numerically by a developed FORTRAN code to calculate, for different solar radiation intensity, the temperature variations in each solar air panel components. Satisfactory qualitative and quantitative agreement is obtained between the numerical and experimental results.

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“…An error or cost function is defined first for the optimized procedure, and desired unknown functions or parameters are determined by minimizing the error or cost function. A variety of numerical and analytical techniques for solving the inverse problem have been proposed in the literature (12)(13)(14)(15)(16)(17) . Most of them can be classified into two major methods; one is the gradient-based method and the other is the stochastic method.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Method for Determination of Thermal Diffusivity of Liquid Flowing in a Pipe

Saengswarng

Khunthong

2013

JTST

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The paper deals with determination of thermal diffusivity of liquid flowing in a pipe based on inverse problem. The hybrid method was developed to improve the inverse solution. The proposed method is a combination of the artificial neural network and inverse solution algorithm. The artificial neural network is adopted for making a good initial-guessed value for the inverse solution. Numerical examples are included to demonstrate the performance of the proposed method. In comparison with the simple inverse solution, the proposed hybrid method is efficiently converged to yield good estimates.

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A three-dimensional inverse problem in imaging the local heat transfer coefficients for plate finned-tube heat exchangers

Cited by 54 publications

References 5 publications

Experimental validation of an extended Kalman smoothing technique for solving nonlinear inverse heat conduction problems

Experimental validation of an extended Kalman smoothing technique for solving nonlinear inverse heat conduction problems

Experimental and Theoretical Analysis on Thermal Performance of the Flat Plate Solar Air Collector

Hybrid Method for Determination of Thermal Diffusivity of Liquid Flowing in a Pipe

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