Analytical Solution of Hyperbolic Heat Conduction Equation in a Finite Medium Under Pulsatile Heat Source

作者：Talaee Mohammad Reza^*; Kabiri Ali; Khodarahmi Reza

来源：Iranian Journal of Science and Technology-Transactions of Mechanical Engineering, 2018, 42(3): 269-277.

DOI：10.1007/s40997-017-0096-y

• Hyperbolic heat conduction
• Heat source
• Step pulse function
• Exponential pulse function
• Laser interaction

This paper presents a pure analytical solution of one-dimensional hyperbolic heat conduction equation in a homogeneous finite medium under series of time pulsed heat source which is exponentially distributed and acts symmetrically on both sides. The solution is obtained without any numerical procedures, using the Eigenvalue function. The problem is solved under two types of step and exponential time pulse series functions, which are used in simulation of laser interaction of tissues, and the closed-form solutions are introduced. The ability of the solution to estimate the effect of pulse duration and intensity is investigated. The results can be applied as a verification branch for other numerical solutions such as pulse laser interaction phenomenon.

• 出版日期2018-9