Heat and wave interactions in a thermoelastic coaxial solid cylinder driven by laser heating sources

Abstract

The current manuscript investigates the interactive nature of the wave and temperature field in an infinite thermoelastic coaxial solid cylinder. The cylinder is endowed with suitable perfect mechanical and thermal interfacial conditions; in addition to the prescription of a clamped surface condition, coupled with different laser heating sources on the outer cylinder. A mixture of the normal mode analysis method and the Laplace integral transform is sought as the methodology to study the variational behavior of the resulting displacements and temperature fields in the respective regions of the cylinder. More so, we provided certain supportive graphical depictions to exhibit the obtained numerical results. Lastly, it is concluded that the presence of the absorption coefficient and laser power intensity in the laser heating source exponentially increases both the displacements and temperature fields; while the existence of more laser parameters serves as a controlling factor.

Keywords

• Coaxial solid cylinder
• Equation of motion
• Thermodynamics
• Laplace transform
• Laser heating