Induction Heating of an Aluminum Billet: A Numerical Study of the Thermal Behavior

2011 ◽  
Vol 110-116 ◽  
pp. 4697-4704
Author(s):  
U. Ray ◽  
A. Sarkar ◽  
S. Sen ◽  
B. Roychowdhury ◽  
N. Barman
Keyword(s):  
Induction Heating ◽  
Source Term ◽  
Numerical Study ◽  
Control Volume ◽  
Momentum Conservation ◽  
Conservation Equation ◽  
Heating Process ◽  
Energy Conservation Equation ◽  
Transfer Behavior ◽  
Volume Method

In the present work, the heat transfer behavior during induction heating of a cylindrical aluminum billet is performed numerically. The heating process is represented by the energy conservation equation where the heat generation during heating is added as a volumetric source term. The evolution of latent heat during melting is also added as a volumetric source term. The continuity and the momentum conservation equations are considered to represent the flow field after melting starts. These governing equations are solved based on the control volume method. The enthalpy update scheme is used for evolution of melt-fraction during heating. The work predicts the evolution of temperature during heating, the distributions of temperature and melt-fraction in the domain. Subsequently, a parametric study is also performed.

Soret Effect on Double-Diffusive Laminar Convection in a Square Cavity Filled With Porous Material

2008 ◽  
Author(s):  
Maximilian S. Mesquita ◽  
Marcelo J. S. de Lemos
Keyword(s):  
Numerical Study ◽  
Soret Effect ◽  
Double Diffusion ◽  
Vertical Gradient ◽  
Momentum Conservation ◽  
Conservation Equation ◽  
Horizontal Gradient ◽  
Square Cavity ◽  
Laminar Convection ◽  
Volume Method

This paper reports a numerical study of the Soret effect on steady-state flows, which are induced by double-diffusion in an enclosure. Convection takes place in a square cavity filled with a porous medium. Horizontal walls are impermeable and subjected to a vertical gradient of temperature. Vertical surfaces are adiabatic and subjected to a horizontal gradient of concentration. The physical model for momentum conservation equation makes use of the Forchheimer extension of the classical Darcy model. Governing parameters of the problem under study are thermal and solutal Rayleigh (Ra), Buoyancy ratio (N), Lewis numbers (Le) and Soret parameters (M). Computations using the finite-volume method cover the range 100 < Ra < 1000, −40 < M < 40 for N = 0.1.

A numerical study of the effect of the number of turns of coil on the heat produced in the induction heating process in the 3d model

2018 ◽  
Vol 18 (3) ◽  
pp. 408-419
Author(s):  
A J shokri ◽  
M H Tavakoli ◽  
A Sabouri Dodaran ◽  
M S Akhondi Khezrabad ◽  
◽  
...  
Keyword(s):  
Induction Heating ◽  
3D Model ◽  
Numerical Study ◽  
Heating Process

Effect of Periodic Imposed Heat Flux on Three-Dimensional Natural Convection in a Partially Heated Cubical Enclosure

2016 ◽  
Vol 831 ◽  
pp. 83-91
Author(s):  
Lahoucine Belarche ◽  
Btissam Abourida
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Numerical Study ◽  
Control Volume ◽  
Vertical Wall ◽  
Three Dimensional ◽  
Maximum Temperature ◽  
Cubical Enclosure ◽  
Simplec Algorithm ◽  
Volume Method

The three-dimensional numerical study of natural convection in a cubical enclosure, discretely heated, was carried out in this study. Two heating square sections, similar to the integrated electronic components, are placed on the vertical wall of the enclosure. The imposed heating fluxes vary sinusoidally with time, in phase and in opposition of phase. The temperature of the opposite vertical wall is maintained at a cold uniform temperature and the other walls are adiabatic. The governing equations are solved using Control volume method by SIMPLEC algorithm. The sections dimension ε = D / H and the Rayleigh number Ra were fixed respectively at 0,35 and 106. The average heat transfer and the maximum temperature on the active portions will be examined for a given set of the governing parameters, namely the amplitude of the variable temperatures a and their period τp. The obtained results show significant changes in terms of heat transfer, by proper choice of the heating mode and the governing parameters.

scholarly journals INDOOR AIR TEMPERATURE DISTRIBUTION – AN ALTERNATIVE APPROACH TO BUILDING SIMULATION

2003 ◽  
Vol 2 (1) ◽  
Author(s):  
A. T. Franco ◽  
C. O. R. Negrão
Keyword(s):  
Temperature Distribution ◽  
Air Temperature ◽  
Indoor Air ◽  
Linear Equations ◽  
Three Dimensional ◽  
Momentum Conservation ◽  
Conservation Equation ◽  
Algebraic Equations ◽  
Conservation Of Energy ◽  
Energy Conservation Equation

The current paper presents a model to predict indoor air temperature distribution. The approach is based on the energy conservation equation which is written for a certain number of finite volumes within the flow domain. The magnitude of the flow is estimated from a scale analysis of the momentum conservation equation. Discretized two or three-dimensional domains provide a set of algebraic equations. The resulting set of non-linear equations is iteratively solved using the line-by-line Thomas Algorithm. As long as the only equation to be solved is the conservation of energy and its coefficients are not strongly dependent on the temperature field, the solution is considerably fast. Therefore, the application of such model to a whole building system is quite reasonable. Two case studies involving buoyancy driven flows were carried out and comparisons with CFD solutions were performed. The results are quite promising for cases involving relatively strong couplings between heat and airflow.

Mathematical Modelling of Thermo-Hydro-Mechanical Behaviour for Concrete under Elevated Temperature

2014 ◽  
Vol 670-671 ◽  
pp. 355-364
Author(s):  
Shao Bo Zhang ◽  
Xiao Chun Wang ◽  
Xin Pu Shen
Keyword(s):  
Elevated Temperature ◽  
Stokes Equations ◽  
Constitutive Relations ◽  
Gaseous Mixture ◽  
Mass Conservation ◽  
Momentum Conservation ◽  
Conservation Equation ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Energy Conservation Equation

A hydro-thermo-mechanical model was presented for concrete at elevated temperature. Three phases of continuum were adopted in this model: gaseous mixture of water vapor and dry air, liquid water, and solid skeleton of concrete. Mass conservation equations, linear momentum conservation equation, and energy conservation equation were derived on the basis of the macroscopic Navier-Stokes equations for a general continuum, along with assumptions made for the purpose of simplification. Mathematical relationships between selected primary variables and secondary variables were given with existing data from references. Specifications of the constitutive relations were made for the kinetic variables and their conjugate forces.

scholarly journals Numerical Study of Natural Convective Heat and Mass Transfer in an Inclined Porous Media

2018 ◽  
Vol 8 (4) ◽  
pp. 3223-3227
Author(s):  
A. Latreche ◽  
M. Djezzar
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Transfer Rate ◽  
Numerical Study ◽  
Mass Transfer Rate ◽  
Momentum Conservation ◽  
Conservation Equation ◽  
Coupled Equations ◽  
Dimensional Parameters ◽  
Finite Volume Approach

In this study, two dimensional natural convection heat and mass transfer generated in an inclined rectangular porous cavity filled with Newtonian fluid has been investigated numerically. The cavity is heated and cooled along horizontal walls while the solutal gradient is imposed horizontally. The physical model for the momentum conservation equation makes use of the Darcy model, and the set of coupled equations is solved using a finite volume approach. The successive-under-relaxation (SUR) method is used in the solution of the stream function equation. The results are presented graphically in terms of streamlines, isotherms and iso-concentrations. The heat and mass transfer rate in the cavity is measured in terms of the average Nusselt and Sherwood numbers for various non-dimensional parameters.

scholarly journals Numerical study of Single-turn and Multi-turn coil effect in the induction heating process

2017 ◽  
Vol 4 (ICBS Conference) ◽  
pp. 178-186
Author(s):  
Abdoljabbar Shokri ◽  
Hamed Heydari ◽  
Muhammed Jameel Asaad
Keyword(s):  
Induction Heating ◽  
Numerical Study ◽  
Heating Process ◽  
Single Turn

scholarly journals Numerical study of the coupled natural convection with surface radiation in a cylindrical annular enclosure

2020 ◽  
Vol 330 ◽  
pp. 01029
Author(s):  
Mohamed Amine MEDEBBER ◽  
Abderrahmane AISSA ◽  
Belkacem OULD SAID ◽  
Noureddine RETIEL ◽  
Mohammed EL GANAOUI
Keyword(s):  
Natural Convection ◽  
Numerical Study ◽  
Control Volume ◽  
Surface Radiation ◽  
Navier Stokes ◽  
Simpler Algorithm ◽  
Energy Equations ◽  
Volume Method ◽  
Rayleigh Numbers ◽  
Total Average

The interaction of natural convection with thermal radiation of black surfaces in a cylindrical enclosure filled with air has been numerically investigated. The steady-state continuity, Navier-Stokes and energy equations were discretized using the control volume method and solved numerically via the SIMPLER algorithm. Effects of Rayleigh number (Ra), wall emissivity (εp) and height ratio parameter (X) are studied. The result shows that surface radiation significantly altered the temperature distribution and the flow patterns, especially at higher Rayleigh numbers. The total average Nusselt number has also been discussed for valuating heat transfer through the enclosure.

Cloud Computing Applied for Numerical Study of Thermal Characteristics of SIP

2013 ◽  
pp. 166-175
Author(s):  
S. K. Maharana ◽  
Praveen B. Mali ◽  
Ganesh Prabhakar ◽  
Sunil J ◽  
Vignesh Kumar
Keyword(s):  
Cloud Computing ◽  
Thermal Management ◽  
Integrated Circuit ◽  
Heat Dissipation ◽  
Numerical Study ◽  
Control Volume ◽  
Thermal Characteristics ◽  
Thermal Dissipation ◽  
Volume Method ◽  
Power And Energy

Thermal management of integrated circuit (IC) and system-in-package (SIP) has gained importance as the power density and requirement for IC design have increased and need exists to analyse the heat dissipation performance characteristics of IC under use. In this paper, the authors examine the thermal characteristics of materials of IC. The authors leverage Cloud Computing architecture to remotely compute the dissipation performance parameters. Understanding thermal dissipation performance, which explains the thermal management of IC, is important for chip performance, as well as power and energy consumption in a chip or SIP. Using architectural understanding of Software as a Service (SaaS), the authors develop an efficient, fast, and secure simulation technique by leveraging control volume method (CVM) of linearization of relevant equations. Three chips are kept in tandem to make it a multi-chip module (MCM) to realise it as a smaller and lighter package. The findings of the study are presented for different dimensions of chips inside the package.

scholarly journals Numerical study of the induction heating of aluminium sheets for hot stamping

2018 ◽  
Vol 190 ◽  
pp. 08002
Author(s):  
Yankang Tian ◽  
Libo Wang ◽  
Gerald Anyasodor ◽  
Yi Qin
Keyword(s):  
Induction Heating ◽  
Numerical Study ◽  
Hot Stamping ◽  
High Energy ◽  
Heating Process ◽  
High Heating Rate ◽  
Heating Efficiency ◽  
Depth Analysis ◽  
Metal Sheets ◽  
Aluminium Sheets

Induction heating is one of the most popular metal heating technologies because of its high heating rate and high energy efficiency. This method is suitable for heating workpieces/blanks in different shapes, sizes and materials. Induction heating of metal sheets has been investigated by various research organizations and industrial companies. However, information concerning the induction heating of aluminium blanks is limited. Further, investigations were required by industries to address the issues relating to the uneven temperature distributions developed in the metal sheets so that an optimized design could be developed to help the enhancement of the technology. Aiming at the study of the induction heating process for hot stamping, especially the temperature distribution developed in the aluminium sheets, this paper presents in-depth analysis of induction heating using 3D FE simulations, involving uses of DEFORM and COMSOL. Different coil arrangements, level of powers, frequencies, cycle times, etc. have been modelled and simulated to examine their effects on the heating efficiency and developed temperature profiles in the Aluminium sheets. It is revealed from the simulations that design features in the induction coils like shapes of cross-sections and angles of coil corners affect the uniformity of the developed temperatures in the metal sheets. Heating with an optimized combination of the coil design and the power setting could help to achieve higher heating rates and temperature uniformity. Nevertheless, the application could be constrained by some practical factors.

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