Numerical Simulation Of 2-D Non-Fourier Heat Conduction Based On Hyperbolic Equation

With the emergence of micro-nano-scale thermally conductive materials,in the thermal shock environment of ultra-short pulses,the pulse width is as short as the thermal relaxation time of the material,and a certain delay time is required for thermal response after thermal disturbance,this effect deviating from the classical Fourier heat conduction law needs to be described by non-Fourier heat conduction law.Therefore,it is of great significance to establish non-Fourier heat conduction models in an ultra-conventional thermal environment to meet the actual engineering needs.Aiming at the non-Fourier heat conduction problem caused by laser irradiation on the surface of materials,this paper establishes non-Fourier heat conduction models based on hyperbolic equations under surface and body absorption conditions.Based on the finite element method,the numerical solution method of the model is studied,and the numerical solution of the transient temperature field is obtained.Numerically simulate the Fourier and non-Fourier heat conduction problems caused by laser irradiation of a single layer of isotropic material,by comparing the axial?radial?and time temperature field distributions,the differences in the temperature distribution caused by non-Fourier heat conduction and Fourier heat conduction are summarized,and the laws of non-Fourier thermal wave propagation and interface reflection are obtained.Numerically simulate the non-Fourier heat conduction problem caused by laser irradiation on anisotropic layered materials,by changing the axial and radial thermal conductivity of the underlying material,the effects of axial and radial thermal conductivity on non-Fourier heat conduction temperature fields are summarized.Numerical results show that,unlike the diffusion effect of traditional Fourier heat conduction,non-Fourier heat conduction exhibits obvious fluctuation characteristics,and non-Fourier thermal wave reflection occurs when it propagates to a radial or axial boundary phenomenon.Changing the axial thermal conductivity of the underlying material will cause significant transmission and reflection of non-Fourier thermal waves at the interface of the double-layer material,and will have a greater impact on the temperature field.Changing the radial thermal conductivity of the underlying material will only cause non-Fourier thermal waves to undergo significant transmission at the interface of the double-layer material,no significant reflection will occur,and the effect on the temperature field will be small.The temperature curve of volume absorption is smoother than that of surface absorption,and the non-Fourier thermal wave effect corresponding to surface absorption conditions is more obvious.The results of this paper can provide necessary theoretical guidance for related experimental research on non-Fourier heat conduction,and have a certain positive effect on related experimental research.Obtaining the characteristics and rules of non-Fourier thermal wave propagation and reflection at the interface can provide the necessarytheoretical basis for revealing the mechanism of non-Fourier thermal waves and matter.In practical engineering applications,it can provide a certain reference for rapid melting and solidification of metals,surface heat treatment of materials,and laser processing technology.