Related Experiment Video
Updated: Jan 8, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
An analytical approach for three-dimensional thermal analysis of moving heat source on orthotropic solid
Mahmoud Fereidouni1,2, Suong Van Hoa1,2
1Concordia Center for Composites, Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, QC, Canada.
Abstract:
The Rosenthal steady-state analytical solution for the temperature distribution caused by a moving point heat source on a semi-infinite, homogeneous, isotropic solid has been extensively used in modeling metallurgical processes, e.g., arc welding. This study develops a three-dimensional analytical closed-form solution for the temperature field induced by a point heat source moving across a semi-infinite orthotropic solid. The formulation accommodates arbitrary orientations of the heat source's motion relative to the material's in-plane principal axes and is extended to solids with finite thickness. Subsequently, using the superposition of the linear solutions, a general methodology is proposed to predict the temperature distribution resulting from an arbitrarily distributed heat source. Verification of the closed-form solution and validation of the distributed heating condition against finite element simulations demonstrate excellent agreement. The analytical framework offers potential for thermal modeling of processing methods used for polymeric composites, e.g., additive manufacturing and continuous welding of thermoplastic composites.
Related Concept Videos
Conduction, Convection and Radiation: Problem Solving
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55...
Thermal Stress
Mechanisms of Heat Transfer II
Mechanisms of Heat Transfer
Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant...
Mechanisms of Heat Transfer I

