A filter based solution for inverse heat conduction problems in multi-layer mediums

Najafi, Hamidreza; Woodbury, Keith A.; Beck, James V.

doi:10.1016/j.ijheatmasstransfer.2014.12.055

Cited by 50 publications

(14 citation statements)

References 21 publications

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“…As in many investigations on inverse problems (e.g. [2,14,17,26,38]), the heat conduction experiments and measured data are numerically simulated in this study. For simulations, the direct boundary element analyses as described previously are carried out.…”

Section: Numerical Examplesmentioning

confidence: 99%

A novel inverse method for identification of 3D thermal conductivity coefficients of anisotropic media by the boundary element analysis

Hematiyan

Khosravifard

Shiah

2015

International Journal of Heat and Mass Transfer

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Section: Numerical Examplesmentioning

confidence: 99%

A novel inverse method for identification of 3D thermal conductivity coefficients of anisotropic media by the boundary element analysis

Hematiyan

Khosravifard

Shiah

2015

International Journal of Heat and Mass Transfer

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“…The analysis of each layer is explained in detail in below. A more general formulation for surface heat flux estimation in multi-layer medium when temperature sensors are located in the inner layer is presented by Najafi et al [22].…”

Section: Solution Strategy Of the Ihcpmentioning

confidence: 99%

“…(22) and compared with the given heat flux at the surface in Fig. 7, which shows the results when constant material properties for various temperatures are used.…”

Section: Test Casesmentioning

confidence: 99%

Real-time heat flux measurement using directional flame thermometer

Najafi

Woodbury

Beck

et al. 2015

Applied Thermal Engineering

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“…Recently, a filter solution based on TR has attracted the interest of many researchers [9,[15][16][17][18][19], which minimizes the sum of the squares of the errors between estimated and measured temperatures and stabilized by Tikhonov regularization. This solution is expressed in a digital filter form, allowing for a real-time heat flux estimation, and has been used for heat flux estimation of directional flame thermometer [20].…”

Section: Introductionmentioning

confidence: 99%

The Fundamental and Application of Surface Heat Flux Estimation by Inverse Method in Cryogen Spray Cooling

Chen¹,

Tian²,

Zhou³

2020

Inverse Heat Conduction and Heat Exchangers

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Surface heat flux is an important parameter in various industrial applications, which is often estimated based on measured temperature by solving inverse heat conduction problem (IHCP). In this chapter, the available IHCP methods including sequential function specification (SFS), transfer function (TF) and Duhamel's theorem were compared, taking the example of surface heat flux estimation during spray cooling. The Duhamel's theorem was improved to solve 1D multi-layer ICHP. Considering the significant nonuniformity of heat transfer, the 2D filter solution method was proposed to estimate surface heat flux for 2D multi-layer mediums. The maximum heat flux calculated by the 1D method was underestimated by 60% than that calculated by 2D filter solution, indicating that the lateral heat transfer cannot be ignored. The cooling performances based on 2D filter solution demonstrated that substituting the environment friendly R1234yf for R134a can remarkably reduce global warming potential to <1, but its cooling capacity is insufficient. The effective heat flux of R1234yf can be enhanced by 18.8% by reducing the nozzle diameter and decreasing the back pressure, providing the theoretical basis for the clinical potential substitution of R1234yf with low global warming potential (GWP) for commercial R134a with high GWP in laser dermatology.

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A filter based solution for inverse heat conduction problems in multi-layer mediums

Cited by 50 publications

References 21 publications

A novel inverse method for identification of 3D thermal conductivity coefficients of anisotropic media by the boundary element analysis

A novel inverse method for identification of 3D thermal conductivity coefficients of anisotropic media by the boundary element analysis

Real-time heat flux measurement using directional flame thermometer

The Fundamental and Application of Surface Heat Flux Estimation by Inverse Method in Cryogen Spray Cooling

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