An Iterative Algorithm for the Estimation of Thermal Boundary Conditions Varying in Both Time and Space

Duda, Piotr; Konieczny, Mariusz

doi:10.3390/en15072686

Cited by 2 publications

(3 citation statements)

References 20 publications

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“…If the regularization coefficients are additionally lowered, the solution becomes completely unstable, giving the following errors: ST = 5.E99 °C, ηT = 6.E99%, ηq1 = 5.7E90%, and ηq2 = 8.3E105%. Additionally, the method based on the LMA algorithm is tested [9,10]. This procedure allows for the use of ANSYS Multiphysics software [29].…”

Section: Numerical Verificationmentioning

confidence: 99%

“…Comparisons of temperature calculated by a direct method and by the AMI method are presented in Figures 10 and 11. Additionally, the method based on the LMA algorithm is tested [9,10]. This procedure allows for the use of ANSYS Multiphysics software [29].…”

Section: Numerical Verificationmentioning

confidence: 99%

“…The implementation of the least squares method (LSM) for steady-state IHCP is presented in [4], and the Levenberg-Marquardt algorithm (LMA) in [5]. Methods solving transient inverse problems may be found in [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. A combination of the radial integration boundary element method (RIBEM) method with the LMA to estimate temperaturedependent conductivity is proposed in [6].…”

Section: Introductionmentioning

confidence: 99%

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An Adaptive Matrix Method for the Solution of a Nonlinear Inverse Heat Transfer Problem and Its Experimental Verification

Duda

Konieczny

2023

Energies

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An adaptive matrix inverse (AMI) method is presented to identify the temperature and unknown boundary heat flux in a domain of a regular or irregular shape with temperature-dependent properties. The nonlinear problem is broken down into a number of linear submodels, and for each submodel, the temperature is obtained in measuring points. Next, based on the matching degree between the temperatures measured and calculated by each prediction submodel, the submodels are weighted and combined to create the full model for the solution of an inverse nonlinear heat transfer problem. Comparisons are also made with the existing multiple model adaptive inverse (MMAI) algorithm and method based on the Levenberg–Marquardt algorithm (LMA). The results of the presented numerical tests for undisturbed and disturbed “measuring” data indicate that the heat fluxes identified by the AMI method are close to the exact values. The application of the presented method for bodies with an irregular shape is also demonstrated. The AMI method has been experimentally verified during the thick-walled cylinder cooling process. The proposed method can be applied in online diagnostic systems for thermal state monitoring.

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Section: Numerical Verificationmentioning

confidence: 99%

Section: Numerical Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Adaptive Matrix Method for the Solution of a Nonlinear Inverse Heat Transfer Problem and Its Experimental Verification

Duda

Konieczny

2023

Energies

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Simultaneous estimation of reference temperature and heat transfer coefficient in transient film cooling problems

ADEMANE

Kadoli

Hindasageri³

2023

Journal of Thermal Engineering

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This paper aims to simultaneously estimate the reference temperature and heat transfer coefficient in film cooling situations from transient temperature measurements. The exist-ing steady-state technique is a tedious process and employs distinct boundary conditions to evaluate each parameters of the film cooling. Applying different boundary conditions may lead to errors in the estimated parameters due to differences in aerodynamic condi-tions. On the other hand, a transient technique can estimate both parameters in a single test by utilizing short-duration transient temperature data. Hence, the present study uses a novel approach for solving transient film cooling problems based on the inverse heat con-duction approach, which can simultaneously estimate heat transfer coefficient and refer-ence temperature. The present method employs an optimization technique known as the Levenberg-Marquardt Algorithm. The objective function for the inverse algorithm is con-structed using the analytical solution of a transient one-dimensional semi-infinite body. The transient surface temperature data required for the present analysis is obtained through a numerical simulation of film cooling arrangement over a flat surface. Laterally averaged effectiveness and heat transfer coefficient for blowing ratios of 0.5, 0.8, and 1.0 are analyzed using the present technique and compared against the steady-state simulation results to demonstrate the methodology. An average deviation of around 7% for the estimated effec-tiveness and 4% for the heat transfer coefficient values are observed between the present IHCP method and the steady state simulation results. The deviation in heat transfer coeffi-cient predominately occurred near the film hole exit of x/d < 5, which might have occurred due to the conjugate solution employed in the present work.

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An Iterative Algorithm for the Estimation of Thermal Boundary Conditions Varying in Both Time and Space

Cited by 2 publications

References 20 publications

An Adaptive Matrix Method for the Solution of a Nonlinear Inverse Heat Transfer Problem and Its Experimental Verification

An Adaptive Matrix Method for the Solution of a Nonlinear Inverse Heat Transfer Problem and Its Experimental Verification

Simultaneous estimation of reference temperature and heat transfer coefficient in transient film cooling problems

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