Bayesian Method for Parameter Estimation in Transient Heat Transfer Problem

Khan, Aminul Islam; Billah, Muhtasim; Ying, Chunhua; Liu, Jin; Dutta, Prashanta

doi:10.1016/j.ijheatmasstransfer.2020.120746

Cited by 12 publications

(2 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At the same time, the preparation of a qualitative mathematical model of individual steam boiler systems and the relationship with various parameters is essential from the standpoint of ensuring the reliability of operation and compliance with all specified standards of operational use. These steps are of key importance from the standpoint of ensuring the reliable functioning of the boiler unit throughout its operational life (Khan et al 2021). Modeling the heat-transfer system of convective heating surfaces of a steam boiler is of key importance from the point of view of assessing the safety of the operational use of boiler units and increasing their service life in general.…”

Section: Resultsmentioning

confidence: 99%

The heat-transfer system modelling of the convective heating surfaces of a TP-92 steam boiler

Kravets¹,

Galyanchuk²,

Yurasova³

et al. 2022

Polityka Energetyczna – Energy Policy Journal

View full text Add to dashboard Cite

The relevance of the subject of research is determined by the need to develop and subsequently implement a mathematical model and the corresponding structural scheme of the convective heating surfaces of the TP-92 steam boiler. The purpose of this research work is to directly model the heat--transfer system of the convective heating surfaces of this boiler, designed for effective use in real conditions. The basis of the methodological approach in the research work is a combination of methods of the system analysis of the key principles of constructing mathematical models of heat-transfer systems of modern steam boilers with an experimental study of the prospects for creating a mathematical model of a heat-transfer system of the convective heating surfaces of a TP-92 steam boiler.In the course of the study, the results were obtained and presented in the form of a mathematical model of a convective heat-transfer system. It allows for making effective mathematical calculations of the main operating modes of the TP-92 steam boiler and calculating the dependences of the temperature and thermal modes of its operation on the change of incoming parameters of the used heat carriers, changes in the heating surface area and the relative flow rate of the heat carriers over the time of their use. The results obtained in the study, including the conclusions formulated on their basis, are of significant practical importance for the designers of steam boilers. The results also are useful for maintenance personnel, whose immediate responsibilities include determining the real possibilities of improving the convective heat-transfer system, based on the known parameters of the temperature of the coolant at the entrance to the system and at the exit from it.

show abstract

Section: Resultsmentioning

confidence: 99%

The heat-transfer system modelling of the convective heating surfaces of a TP-92 steam boiler

Kravets¹,

Galyanchuk²,

Yurasova³

et al. 2022

Polityka Energetyczna – Energy Policy Journal

View full text Add to dashboard Cite

show abstract

“…Different from the above deterministic methods, Bayesian reasoning technology has attracted much attention in the study of the reverse heat transfer problem due to its use of prior information and its ability to evaluate uncertainty [ 24 ]. Khan [ 31 ] and Xu [ 32 ] used Bayesian inference for the parameter estimation of steam box and textile materials and validated the effectiveness of the method. Somasundharam [ 33 ] compared three sampling techniques (Metropolis–Hastings Markov Chain Monte-Carlo, Parallel Tempering, and Evolutionary Monte-Carlo) under different noises.…”

Section: Introductionmentioning

confidence: 99%

Improved Bayesian Optimization Framework for Inverse Thermal Conductivity Based on Transient Plane Source Method

Liu

Lyu

et al. 2023

Entropy

View full text Add to dashboard Cite

In order to reduce the errors caused by the idealization of the conventional analytical model in the transient planar source (TPS) method, a finite element model that more closely represents the actual heat transfer process was constructed. The average error of the established model was controlled at below 1%, which was a significantly better result than for the analytical model, which had an average error of about 5%. Based on probabilistic optimization and heuristic optimization algorithms, an optimization model of the inverse heat transfer problem with partial thermal conductivity differential equation constraints was constructed. A Bayesian optimization algorithm with an adaptive initial population (BOAAIP) was proposed by analyzing the influencing factors of the Bayesian optimization algorithm upon inversion. The improved Bayesian optimization algorithm is not affected by the range and individuals of the initial population, and thus has better adaptability and stability. To further verify its superiority, the Bayesian optimization algorithm was compared with the genetic algorithm. The results show that the inversion accuracy of the two algorithms is around 3% when the thermal conductivity of the material is below 100 Wm−1K−1, and the calculation speed of the improved Bayesian optimization algorithm is three to four times faster than that of the genetic algorithm.

show abstract

Transient analysis and parameter estimation with optimizations in a plate heat exchanger

2022

View full text Add to dashboard Cite

Bayesian Method for Parameter Estimation in Transient Heat Transfer Problem

Cited by 12 publications

References 35 publications

The heat-transfer system modelling of the convective heating surfaces of a TP-92 steam boiler

The heat-transfer system modelling of the convective heating surfaces of a TP-92 steam boiler

Improved Bayesian Optimization Framework for Inverse Thermal Conductivity Based on Transient Plane Source Method

Transient analysis and parameter estimation with optimizations in a plate heat exchanger

Contact Info

Product

Resources

About