Surface transfer coefficients estimation for heat conduction problem using the Bayesian framework

06/14/2022
by   Julien Berger, et al.
0

This work deals with an inverse two-dimensional nonlinear heat conduction problem to determine the top and lateral surface transfer coefficients. For this, the Bayesian framework with the Markov Chain Monte Carlo algorithm is used to determine the posterior distribution of unknown parameters. To handle the computational burden, a lumped one-dimensional model is proposed. The lumped model approximations are considered within the parameter estimation procedure thanks to the Approximation Error Model. The experiments are carried out for several configurations of chamber ventilator speed. Experimental observations are obtained through a complete measurement uncertainty propagation. By solving the inverse problem, accurate probability distributions are determined. Additional investigations are performed to demonstrate the reliability of the lumped model, in terms of accuracy and computational gains.

READ FULL TEXT

page 3

page 10

page 11

page 14

page 19

page 21

research
08/22/2023

Evaluating the accuracy of Gaussian approximations in VSWIR imaging spectroscopy retrievals

The joint retrieval of surface reflectances and atmospheric parameters i...
research
10/18/2019

Inverse modeling of hydrologic parameters in CLM4 via generalized polynomial chaos in the Bayesian framework

In this study, the applicability of generalized polynomial chaos (gPC) e...
research
09/19/2018

A Novel Heat Exchanger Design Method Using a Delayed Rejection Adaptive Metropolis Hasting Algorithm

In this study, a shell-and-tube heat exchanger (STHX) design based on se...
research
02/18/2020

Stabilities of Shape Identification Inverse Problems in a Bayesian Framework

A general shape identification inverse problem is studied in a Bayesian ...
research
10/11/2018

Verification of Two-Dimensional Monte Carlo Ray-Trace Methodology in Radiation Heat Transfer Analysis

Despite the frequent appearance in the radiation heat transfer literatur...
research
04/02/2023

Multiresolution Approximation of a Bayesian Inverse Problem using Second-Generation Wavelets

Bayesian approaches are one of the primary methodologies to tackle an in...
research
04/12/2019

Bayesian inversion for nanowire field-effect sensors

Nanowire field-effect sensors have recently been developed for label-fre...

Please sign up or login with your details

Forgot password? Click here to reset