Inverse Heat Transfer Solution of the Heat Flux Due to Induction Heating

2004 ◽  
Vol 127 (3) ◽  
pp. 555-563 ◽  
Author(s):  
Jie Luo ◽  
Albert J. Shih
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Finite Difference ◽  
Cross Section ◽  
Induction Heating ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Measured Temperature ◽  
Induction Heat ◽  
Inverse Heat Transfer

The explicit finite difference formulation of an inverse heat transfer model to calculate the heat flux generated by induction is developed. The experimentally measured temperature data are used as the input for the inverse heat transfer model. This model is particularly suitable for a workpiece with low cross section Biot number. Induction heating experiments are carried out using a carbon steel rod. The finite difference method and thermocouple temperature measurements are applied to estimate the induction heat flux and workpiece temperature. Compared to measured temperatures, the accuracy and limitation of proposed method is demonstrated. The effect of nonuniform temperature distribution, particularly in the heating region during the induction heating, is studied. Analysis results validate the assumption to use the uniform temperature in a cross section for the inverse heat transfer solution of induction heat flux. Sensitivity to the grid spacing, thermocouple location, and thermophysical properties are also studied.

Thermal effect of LD end-pumped laser crystal with circular cross-section based on convective heat-transfer model

2012 ◽  
Vol 38 (1) ◽  
pp. 89-92
Author(s):  
李健 LI Jian ◽  
乔焱 QIAO Yan ◽  
崔伟 CUI Wei ◽  
董浩然 DONG Haoran ◽  
毕学进 BI Xuejin
Keyword(s):  
Heat Transfer ◽  
Convective Heat Transfer ◽  
Thermal Effect ◽  
Cross Section ◽  
Convective Heat ◽  
Laser Crystal ◽  
Circular Cross Section ◽  
Heat Transfer Model ◽  
Transfer Model

Flow and Heat Transfer Study in an Autoclave for Hydrothermal Crystal Growth With a Three-Dimensional Conjugate Heat Transfer Model

2002 ◽  
Author(s):  
Hongmin Li ◽  
Edward A. Evans ◽  
G.-X. Wang
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Crystal Growth ◽  
Conjugate Heat Transfer ◽  
Heat Transfer Model ◽  
Thick Wall ◽  
Transfer Model ◽  
Hydrothermal Crystal Growth ◽  
Flow And Heat Transfer ◽  
Isothermal Wall

Numerical modeling becomes an important technique to study hydrothermal crystal growth since experimental measurements in hydrothermal autoclaves are extremely difficult due to the high pressure and high temperature growth conditions. In all existing models for hydrothermal growth, isothermal boundary conditions are assumed, although electric heaters are employed around the outside surface of the thick autoclave wall in practice. In this paper, a conjugate heat transfer model based on an industry size autoclave is developed to investigate the validity of such an assumption. The model includes not only turbulent fluid flow and heat transfer of the solution but also the heat conduction in the thick wall. The outside surfaces of the wall are under constant heat flux conditions, simulating electric resistance heating used in practice. Non-uniformity of the heat flux in the circumferential direction is also introduced in the model. The results indicate that the temperature at the solution/wall interface is far away from uniform. The isothermal wall boundary condition in previous efforts is questionable. Predictions of the isothermal wall model are analyzed. Parametric studies with the conjugate model show that total heat supply rate does not affect vertical uniformity dramatically. Heat loss can be lowered without affecting the flow and temperature fields if heaters are put half diameter or further away from the middle height (baffle) plane.

Study on Heat Transfer Model of 2024 Aluminum Alloy under Static Magnetic Field

2011 ◽  
Vol 366 ◽  
pp. 229-233
Author(s):  
Chang Gui Cheng ◽  
Le Yu ◽  
Wen Cheng Wan ◽  
Zhong Tian Liu
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Aluminum Alloy ◽  
Static Magnetic Field ◽  
Transfer Problem ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Measured Temperature ◽  
2024 Aluminum Alloy ◽  
Magnetic Filed

The paper has established a two-dimensional non-steady-state heat transfer model for 2024 aluminum alloy solidification process under the static magnetic field. According to the measured temperature and the inverse heat transfer problem, the boundary conditions of model have been determined, the results show that the solidification rate and heat flux acting on the ingot surface increase with increasing of the static magnetic filed strength; when the static magnetic filed strength become stronger, the isotherm location will move towards the liquid pool center, and the temperature gradient in the liquid metal pool will increase.

MICROSTRUCTURAL ANALYSIS THROUGH TRIDIMENSIONAL INVERSE HEAT TRANSFER MODEL IN GTA ALUMINUM ALLOY WELDING

2015 ◽  
Author(s):  
Elisan dos Santos Magalhães ◽  
Edmilson Otoni Correa ◽  
Ana Lúcia Fernandes de Lima E Silva ◽  
Sandro Metrevelle Marcondes Lima E Silva
Keyword(s):  
Heat Transfer ◽  
Aluminum Alloy ◽  
Microstructural Analysis ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Inverse Heat Transfer

Finite Difference Heat Transfer Model of a Steel-clad Aluminum Brake Rotor

2005 ◽  
Author(s):  
James E. Hertel ◽  
Jared R. Suster ◽  
Justin R. Hawley ◽  
Xiaodi Huang
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Brake Rotor

Prediction of Heat Leakage Through Fish Hold Wall Sections

1989 ◽  
Vol 33 (03) ◽  
pp. 229-235
Author(s):  
De-qian Wang ◽  
Edward Kolbe
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
West Coast ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Model Design ◽  
Fishing Vessels ◽  
Heat Leakage ◽  
Good Agreement

Heat transfer through hold wall sections was investigated to improve prediction of heat leakage through fish hold boundaries of steel fishing vessels in the range of 14 to 32 m (45 to 105 ft). A finite-difference heat-transfer model was developed and eight fish hold wall sections representative of a 14 m (45 ft) boat were tested using the "guarded hot box" technique (ASTM C 236-80). Good agreement was obtained between the predicted and tested results. By applying the model, design curves of wall sections representative of typical West Coast steel vessels are presented.

scholarly journals Global sensitivity analysis of a pure steam dropwise condensation heat transfer model

2020 ◽  
Author(s):  
Jakob Sablowski ◽  
Simon Unz ◽  
Michael Beckmann
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Coating Layer ◽  
High Heat ◽  
Nucleation Site ◽  
Heat Transfer Model ◽  
Model Parameters ◽  
Transfer Model ◽  
High Heat Flux ◽  
Pure Steam

In recent years, established heat transfer models for dropwise condensation (DWC) have been refined to consider the influence of wetting behavior, surface structure and nucleation dynamics on the heat transfer rate in more detail. Despite these efforts to develop more sophisticated models, uncertainties of the model parameters still lead to a high variation of the calculated heat transfer rate. In this study, we apply quantitative sensitivity analysis to a pure steam DWC heat transfer model in order to attribute the variation of the model result to its input parameters. Four scenarios with different variations of the model parameters are discussed and sensitivity coefficients for each parameter are calculated. Our results show that the contact angle and the nucleation site density have the greatest influence on the model result if no additional coating layer is considered. The influence of the nucleation site density is mainly due to the large uncertainties associated with this parameter. In scenarios with an additional coating layer, the heat flux is mainly governed by the thickness of the coating layer, underlining the need for thin conformal coatings to effectively promote DWC. Furthermore, trends within the heat transfer model are discussed and beneficial conditions for a high heat flux are identified for each scenario. The results underline that the wetting properties of functional surfaces should be tailored towards medium contact angles in the range of 70° to 130° and low contact angle hystereses below 10° to achieve high heat flux DWC.

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