Non-Fourier Response Analysis Of Thermal Boundary Conditions In Cartesian Coordinate

With the development of science and technology,many non-Fourier heat conduction problems have appeared in the field of aerospace.For example: aircraft,rocket engine startup engine inner wall of the ultra-fast transient heating;The re-entry capsule of manned spacecraft burns up violently in the atmosphere upon reentry.So the study of non-Fourier heat conduction has great academic significance and application potential for the development of heat transfer in the field of aeronautics and astronautics.This paper mainly studies the influence of transforming the boundary conditions into nonFourier boundary conditions on the temperature field and stress field when solving the nonFourier heat conduction problem.The main work contents are as follows:1)Derivation of non-Fourier boundary conditions for non-Fourier heat conduction problems.Boundary conditions describe the temperature or heat flux at the boundary of a region in the heat conduction problem.In a certain problem,the temperature distribution on the boundary of a region can be given,and the heat flux distribution on the boundary of a region can also be given,and the region boundary can also conduct convective heat transfer with the environment or medium.The three cases on the boundary are named as the first type of boundary conditions,the second type of boundary conditions and the third type of boundary conditions.In this paper,the relaxation time is added to the three boundary conditions to transform them into non-Fourier boundary conditions.2)The one-dimensional homogeneous non-Fourier problem considering the boundary conditions is solved.Firstly,the mathematical method used in the process of solving the problem is described briefly,and then the single-layer plate model and double-layer plate model are established respectively.The temperature function is obtained to solve the problem,and the thermal stress in the plate is further derived from the temperature function.3)Analysis and discussion of numerical results of temperature field and stress field in flat plate.The plates are divided into single-layer plates and double-layer plates.The numerical analysis is carried out respectively,and the results are mutually verified.In the process of analysis,the control variable method was used to study the influence of heat flow relaxation time,temperature gradient relaxation time,boundary conditions,time and thickness on the results.