Transient Heat Conduction in Solids Irradiated by a Moving Heat Source

2009 ◽  
Vol 283-286 ◽  
pp. 358-363 ◽  
Author(s):  
Nicola Bianco ◽  
Oronzio Manca ◽  
Sergio Nardini ◽  
Salvatore Tamburino
Keyword(s):  
Three Dimensional ◽  
Transient Heat Conduction ◽  
Laser Source ◽  
Comsol Multiphysics ◽  
Work Piece ◽  
Temperature Profiles ◽  
Moving Heat Source ◽  
Gaussian Laser Beam ◽  
Motion Direction ◽  
Thermal Fields

Transient three-dimensional temperature distribution in a solid irradiated by a moving Gaussian laser beam was investigated numerically by means of COMSOL Multiphysics 3.3. The investigated work-piece are simply brick-type solids. A laser source is considered moving with constant velocity along the motion direction. The solid dimension along the motion direction is assumed as semi-infinite while width and thickness are considered finite. Several different grid distributions are tested to ensure that the calculated results are grid independent. Typical parameters involved in the processes for any particular application should be evaluated, in order to optimize the material processing and forecast the solid behavior. The results are presented in terms of temperature profiles and thermal fields are given for some Biot and Peclet numbers.

Effect of Solid Thickness on Transient Heat Conduction in Workpieces Irradiated by a Moving Heat Source

2010 ◽  
Vol 297-301 ◽  
pp. 1445-1450 ◽  
Author(s):  
Nicola Bianco ◽  
Oronzio Manca ◽  
Sergio Nardini ◽  
Salvatore Tamburrino
Keyword(s):  
Three Dimensional ◽  
Transient Heat Conduction ◽  
Surface Heat ◽  
Laser Source ◽  
Comsol Multiphysics ◽  
Finite Width ◽  
Moving Heat Source ◽  
Temperature Dependent ◽  
Motion Direction ◽  
Gaussian Distributions

In this paper a three dimensional conductive field is analyzed and solved by means of the COMSOL Multiphysics code. The investigated work-pieces are made up of a simple brick-type solid. A laser source with combined donut-Gaussian distributions is considered moving with a constant velocity along motion direction. The solid dimension along the motion direction is assumed to be infinite or semi-infinite, while finite width (2ly) and thickness (s) are considered. Thermal properties are considered temperature dependent and the materials are considered isotropic. Surface heat losses toward the ambient are taken into account. Results are presented in terms of profile temperature to evaluate the effect of solid thickness.

Effect of Impinging Jet on Heat Conduction in Workpieces Irradiated by a Moving Heat Source

2011 ◽  
Vol 312-315 ◽  
pp. 924-928 ◽  
Author(s):  
N. Bianco ◽  
Oronzio Manca ◽  
Sergio Nardini ◽  
Salvatore Tamburrino
Keyword(s):  
Radiative Heat ◽  
Three Dimensional ◽  
Impinging Jet ◽  
Laser Source ◽  
Comsol Multiphysics ◽  
Finite Width ◽  
Moving Heat Source ◽  
Temperature Dependent ◽  
Motion Direction ◽  
Biot Numbers

A three dimensional conductive field is analyzed and solved by means of the COMSOL Multiphysics code. The investigated work-pieces are made up of a simple brick-type solid. A laser source with combined donut-Gaussian distributions is considered moving with a constant velocity along motion direction. The solid dimension along the motion direction is assumed to be infinite or semi-infinite, while finite width (2ly) and thickness (s) are considered. Thermal properties are considered temperature dependent and the materials are considered isotropic. Surface heat losses toward the ambient are taken into account. Several convective heat flux values on the upper surface, with corresponding Biot numbers, and Peclet numbers are considered with negligible radiative heat losses.Results are presented in terms of profile temperatures to evaluate the effect of impinging jet.

Thermal Analysis of Solids at High Peclet Numbers Subjected to Moving Heat Sources

1999 ◽  
Vol 121 (1) ◽  
pp. 182-186 ◽  
Author(s):  
O. Manca ◽  
B. Morrone ◽  
S. Nardini
Keyword(s):  
Thermal Field ◽  
Three Dimensional ◽  
Heat Losses ◽  
Transfer Model ◽  
Heat Sources ◽  
Moving Heat Source ◽  
Motion Direction ◽  
Thermal Fields ◽  
Diffusion Component ◽  
Conductive Thermal Field

A three-dimensional heat transfer model has been developed to obtain the conductive thermal field inside a brick-type solid under a moving heat source with different beam profiles. The problem in quasi-steady state has been approximated by neglecting the axial diffusion component; thus, for Peclet numbers greater than 5, the elliptic differential equation becomes a parabolic one along the motion direction. The dependence of the solution on the radiative and convective heat losses has been highlighted. Thermal fields are strongly dependent on different spot shapes and on the impinging jet; this situation allows control of the parameters involved in the technological process.

Numerical Investigation on Transient Conjugate Optical-Thermal Fields in Thin Films Irradiated by Moving Sources for Front Treatments

2010 ◽  
Vol 297-301 ◽  
pp. 1439-1444
Author(s):  
Nicola Bianco ◽  
Oronzio Manca ◽  
Daniele Ricci
Keyword(s):  
Thin Film ◽  
Maxwell Equations ◽  
Film Structure ◽  
Laser Source ◽  
Transient Temperature ◽  
Temperature Profiles ◽  
Temperature Dependent ◽  
Motion Direction ◽  
One Dimensional ◽  
Thermal Fields

In this paper a numerical analysis on two-dimensional transient of the combined optical-thermal fields caused by a moving Gaussian laser source in a multilayer thin film structure on a glass substrate is carried out. The workpiece is considered semi-infinite along the motion direction and its optical and thermophysical properties are assumed temperature dependent. The COMSOL Multiphysics 3.4 code has been used to solve the combined thermal and electromagnetic problem. In this way, the optical field is considered locally one-dimensional and Maxwell equations are solved in order to evaluate the absorption in thin film. Results, in terms of transient temperature profiles and fields, are presented for different Peclet numbers and thin film thicknesses.

Analytical Solution for a Transient Three-Dimensional Temperature Distribution in Laser Assisted Machining Processes

Volume 3 ◽  
2004 ◽  
Author(s):  
Gustavo Gutierrez ◽  
Juan Guillermo Araya
Keyword(s):  
Temperature Distribution ◽  
Analytical Solution ◽  
Heat Source ◽  
Three Dimensional ◽  
Laser Source ◽  
Finite Domain ◽  
Transient Temperature ◽  
Moving Heat Source ◽  
Infinite Domains ◽  
Laser Assisted Machining

Laser assisted machining is a recent technique for machining brittle ceramic materials by first softening them by heating the material with a laser beam, without reaching the melting point and, in this way, minimizing the damage of the workpiece and tool. The use of a laser source is a common procedure in numerous electronic and optical material processes. This research presents a new analytical solution to determine transient temperature distributions in a finite solid when it is heated by a moving heat source. The analytical solution is obtained by solving the transient three-dimensional heat conduction equation in a finite domain by the method of separation of variables. Previous studies focus on analytical solutions for semi-infinite domains. In this study, for a moving heat source, the temperature field is obtained in a finite domain. The purpose of this study is to obtain an analytical solution to predict transient temperature distribution in a finite solid due to a moving heat source.

Numerical Model for Multilayer Thin Films Irradiated by a Moving Laser Source

2009 ◽  
Vol 283-286 ◽  
pp. 352-357 ◽  
Author(s):  
Nicola Bianco ◽  
Oronzio Manca ◽  
Daniele Ricci
Keyword(s):  
Thin Film ◽  
Maxwell Equations ◽  
Film Structure ◽  
Laser Source ◽  
Transient Temperature ◽  
Temperature Dependent ◽  
Motion Direction ◽  
One Dimensional ◽  
Thermal Fields ◽  
Starting Point

A two-dimensional transient analysis of the conjugate optical-thermal fields induced in a multilayer thin film structure on a glass substrate by a moving Gaussian laser source is carried out numerically. The workpiece is considered semi-infinite along the motion direction and its optical and thermophysical properties are assumed temperature dependent. The COMSOL Multiphysics 3.3 code has been used to solve the combined thermal and electromagnetic problem. The optical field is considered locally one dimensional and Maxwell equations are solved in order to evaluate the absorption in thin film. Results, in terms of transient temperature profiles and fields, are presented for different Peclet numbers and starting point of the heat source with respect to the workpiece boundary along the motion direction.

Effects of High Reynolds Number Impinging Jet on the Heat Conduction in Work-Pieces Irradiated by a Moving Heat Source

2014 ◽  
Vol 354 ◽  
pp. 189-194
Author(s):  
Oronzio Manca ◽  
Sergio Nardini ◽  
D. Ricci ◽  
S. Tamburrino
Keyword(s):  
Three Dimensional ◽  
Impinging Jet ◽  
Reynolds Numbers ◽  
Heat Losses ◽  
Laser Source ◽  
Finite Width ◽  
Temperature Dependent ◽  
Motion Direction ◽  
Commercial Code ◽  
High Reynolds

A three dimensional conductive field is analyzed and solved numerically by means of a commercial code. The investigated work-pieces are made up of a simple brick-type solid. A laser source with combined donut-Gaussian distributions is considered moving with a constant velocity along motion direction. The solid dimension along the motion direction is assumed to be infinite or semi-infinite, while finite width (2ly) and thickness (s) are considered. Thermal properties are considered temperature dependent and the materials are considered isotropic. Surface heat losses toward the ambient are taken into account. Several Reynolds numbers of the impinging jet, Biot and Peclet numbers are considered with negligible radiative heat losses. Results are presented in terms of temperatures field and profile to evaluate the effect of impinging jet.

Thermomechanical Coupling of a Hyper-viscoelastic Truck Tire and a Pavement Layer and its Impact on Three-dimensional Contact Stresses

2021 ◽  
pp. 036119812110171
Author(s):  
Angeli Jayme ◽  
Imad L. Al-Qadi
Keyword(s):  
Contact Stress ◽  
Contact Area ◽  
Three Dimensional ◽  
Interaction Model ◽  
Rolling Resistance ◽  
Contact Stresses ◽  
Thermomechanical Coupling ◽  
Temperature Profiles ◽  
Near Surface ◽  
Truck Tire

A thermomechanical coupling between a hyper-viscoelastic tire and a representative pavement layer was conducted to assess the effect of various temperature profiles on the mechanical behavior of a rolling truck tire. The two deformable bodies, namely the tire and pavement layer, were subjected to steady-state-uniform and non-uniform temperature profiles to identify the significance of considering temperature as a variable in contact-stress prediction. A myriad of ambient, internal air, and pavement-surface conditions were simulated, along with combinations of applied tire load, tire-inflation pressure, and traveling speed. Analogous to winter, the low temperature profiles induced a smaller tire-pavement contact area that resulted in stress localization. On the other hand, under high temperature conditions during the summer, higher tire deformation resulted in lower contact-stress magnitudes owing to an increase in the tire-pavement contact area. In both conditions, vertical and longitudinal contact stresses are impacted, while transverse contact stresses are relatively less affected. This behavior, however, may change under a non-free-rolling condition, such as braking, accelerating, and cornering. By incorporating temperature into the tire-pavement interaction model, changes in the magnitude and distribution of the three-dimensional contact stresses were manifested. This would have a direct implication on the rolling resistance and near-surface behavior of flexible pavements.

scholarly journals Analysis of hyperbolic Pennes bioheat equation in perfused homogeneous biological tissue subject to the instantaneous moving heat source

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Ali Kabiri ◽  
Mohammad Reza Talaee
Keyword(s):  
Heat Source ◽  
Closed Form ◽  
Method Comparison ◽  
Closed Form Solution ◽  
Form Solution ◽  
Temperature Profiles ◽  
Moving Heat Source ◽  
Bioheat Equation ◽  
Perfusion Rate

AbstractThe one-dimensional hyperbolic Pennes bioheat equation under instantaneous moving heat source is solved analytically based on the Eigenvalue method. Comparison with results of in vivo experiments performed earlier by other authors shows the excellent prediction of the presented closed-form solution. We present three examples for calculating the Arrhenius equation to predict the tissue thermal damage analysis with our solution, i.e., characteristics of skin, liver, and kidney are modeled by using their thermophysical properties. Furthermore, the effects of moving velocity and perfusion rate on temperature profiles and thermal tissue damage are investigated. Results illustrate that the perfusion rate plays the cooling role in the heating source moving path. Also, increasing the moving velocity leads to a decrease in absorbed heat and temperature profiles. The closed-form analytical solution could be applied to verify the numerical heating model and optimize surgery planning parameters.

Indentation of a Transversely Isotropic Thermoporoelastic Half-Space by a Rigid Circular Cylindrical Punch

2017 ◽  
Vol 84 (11) ◽  
Author(s):  
Yilan Huang ◽  
Guozhan Xia ◽  
Weiqiu Chen ◽  
Xiangyu Li
Keyword(s):  
Half Space ◽  
Original Problem ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
The Finite Element Method ◽  
Thermal Fields ◽  
Cylindrical Punch ◽  
The One ◽  
Physical Quantities ◽  
Potential Theory Method

Exact solutions to the three-dimensional (3D) contact problem of a rigid flat-ended circular cylindrical indenter punching onto a transversely isotropic thermoporoelastic half-space are presented. The couplings among the elastic, hydrostatic, and thermal fields are considered, and two different sets of boundary conditions are formulated for two different cases. We use a concise general solution to represent all the field variables in terms of potential functions and transform the original problem to the one that is mathematically expressed by integral (or integro-differential) equations. The potential theory method is extended and applied to exactly solve these integral equations. As a consequence, all the physical quantities of the coupling fields are derived analytically. To validate the analytical solutions, we also simulate the contact behavior by using the finite element method (FEM). An excellent agreement between the analytical predictions and the numerical simulations is obtained. Further attention is also paid to the discussion on the obtained results. The present solutions can be used as a theoretical reference when practically applying microscale image formation techniques such as thermal scanning probe microscopy (SPM) and electrochemical strain microscopy (ESM).

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