Authors: Guo Jun Li, Xiao Ting Li, Hai Geng Chen

Abstract: The most eﬀective way of determining the whole billet temperature ﬁeld is to use a simulation model. Large amount of calculation as well as computational time is consumed to employ two-dimensional finite difference method since the heating process is extremely complex, then it’s necessary to simplify the calculation process. In this paper, a simplified method in one-dimension format was presented to calculate two-dimensional heat conduction equations of heating slab. The billet simulated was placed in a changeable thermal flux boundary environment, in which the thermal flux was proportional to fourth power of temperature. During the heating process, the changeable parameters were taken into account: i. e different billet dimensions, different billet thermal conduction, different specific heat, etc. The comparision between results of two-dimensional finite difference method and the simplified method verified that the simplified method can satisfy accuracy requirement as well as calculation time saving, which enable the simplified method online using.

105

Authors: Meng Li, Wen Hua Chen, Wei Jia

Abstract: Considering the high temperature problem, this paper details the process of the heat conduction, builds the differential equations of the heat conduction, discusses the boundary conditions. According to the differential equation of the heat conduction, determined the calculation formula of thermodynamic parameters of the heat conduction and get the calculation formula the temperature and interface between the lining and surrounding rock’s calculation formulas. Builded the model of the thermal stress field of the tunnel lining under the high temperature, compiled the calculation program, analyzed the change of the lining’s stress and the influence by the relevant parameters of lining’s stress field under the high temperature.

2157

Authors: Jing Li, Ze Peng Wang, Wen Xiu Liu, Fa Hu Zhang

Abstract: The three-dimensional axial symmetry FEA (finite-element analysis) model is established for 165/70R13 type tire based on ANSYS Workbench FEA software, and numerical simulation at temperature field is implemented, which reflects the temperature distribution at each part of tire intuitively, and has a certain guiding significance of improving tire structure and design.

382

Authors: Xiao Feng Xiao, Qiong Xue

Abstract: Diffusion only, two dimensional heat conduction has been described on partial differential equation. Based on Finite Volume Method, Discretized algebraic Equation of partial differential equation have been deduced. different coefficients and source terms have been discussed under different boundary conditions, which include prescribed heat flux, prescribed temperature, convection and insulated.. Transient heat conduction analysis of infinite plate with uniform thickness and two dimensional rectangle region are realized by programming using MATLAB. It is useful to make the heat conduction equation more understandable by its solution with graphical expression, feasibility and stability of numerical method have been demonstrated by running result.

205

Authors: Shun Yu Su, Qin Huang

Abstract: Separation-of-variables method is one of the analytical solution methods to solve unsteady state heat conduction problems. But unsteady state conduction with heat source is an inhomogeneous problem. It can not be solved by separation-of-variables method directly. The combination of variables division method and separation-of-variables method was applied in this paper to deal with heat conduction with heat source in an infinite plate wall. The problem was divided to a steady state and inhomogeneous heat conduction problem, and an unsteady state and homogeneous heat conduction problem by variables division method. The steady state and inhomogeneous problem can be integrated directly. The unsteady state and homogeneous problem can be transformed to the problem that can be solved by separation-of-variables method directly through variable substitution. The unsteady state temperature field in the infinite plate wall was then obtained.

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