Steady-State Temperature Field Simulation of Injection Mold Based on Finite Volume Method

doi:10.16183/j.cnki.jsjtu.2023.040

Abstract

Abstract:

For steady-state temperature field simulation during cooling stage of plastic injection molding, when the traditional finite volume method (FVM) is used to solve the equivalent heat flux on the cavity surface, the approximate node temperature gradient is often based on the average value in the control volume, but it may not be equal to the local node temperature gradient on the boundary surface. In addition, the calculation of heat flux on each surface in the control volume is independent, which may lead to the non-conservation of heat energy on the control volume. To this end, the improved FVM is modified by taking the heat conservation of steady-state temperature field as a prerequisite and calculating the heat flow of cavity surface based on the node control volume. A numerical simulation software of C++ language based on FVM is developed, which compares the steady-state temperature field of plastic injection molding simulated by the traditional FVM algorithm and the improved FVM algorithm with the results of commercial softwares. The results show that the traditional FVM algorithm can simulate the rough temperature distribution of injection mold, but there is a large calculation error. By improving the equivalent steady-state heat flux calculation method for cavity surface, the calculation error is greatly reduced, which proves that the improved FVM algorithm can predict more accurately the steady-state temperature field in cooling stage.

Key words: finite volume method (FVM), injection molding, mold temperature field, numerical simulation

CLC Number:

TQ320

FENG Yangyang, DING Haoliang, HU Pingshan, YAN Bo. Steady-State Temperature Field Simulation of Injection Mold Based on Finite Volume Method[J]. Journal of Shanghai Jiao Tong University, 2024, 58(4): 461-467.

Figures/Tables 11

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References 11

[1]	KWON T H. Mold cooling system design using boundary element method[J]. Journal of Engineering for Industry, 1988, 110(4): 384-394. doi: 10.1115/1.3187898 URL
[2]	QIAO H. Transient mold cooling analysis using BEM with the time-dependent fundamental solution[J]. International Communications in Heat and Mass Transfer, 2005, 32(3/4): 315-322. doi: 10.1016/j.icheatmasstransfer.2004.07.006 URL
[3]	ZHOU H M, ZHANG Y, WEN J S, et al. An acceleration method for the BEM-based cooling simulation of injection molding[J]. Engineering Analysis with Boundary Elements, 2009, 33(8/9): 1022-1030. doi: 10.1016/j.enganabound.2009.04.001 URL
[4]	LIN Y W, LI H M, CHEN S C, et al. 3D numerical simulation of transient temperature field for lens mold embedded with heaters[J]. International Communications in Heat and Mass Transfer, 2005, 32(9): 1221-1230. doi: 10.1016/j.icheatmasstransfer.2004.10.025 URL
[5]	CHEN L, ZHOU X W, HUANG Z G, et al. Three-dimensional transient finite element cooling simulation for injection molding tools[J]. The International Journal of Advanced Manufacturing Technology, 2022, 120(11/12): 7919-7936. doi: 10.1007/s00170-022-09154-8
[6]	DEMIRDŽIĆ I, MUZAFERIJA S. Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology[J]. Computer Methods in Applied Mechanics and Engineering, 1995, 125(1/2/3/4): 235-255. doi: 10.1016/0045-7825(95)00800-G URL
[7]	YANG S, ZHANG M Y, BI J, et al. Evaluation of the long-term thermal stability of a crushed-rock revetment embankment in pan-Arctic permafrost regions under the effect of snow drift[J]. Energy, 2023, 263: 125664. doi: 10.1016/j.energy.2022.125664 URL
[8]	PRAJAPATI H, RAVOORI D, WOODS R L, et al. Measurement of anisotropic thermal conductivity and inter-layer thermal contact resistance in polymer fused deposition modeling (FDM)[J]. Additive Manufacturing, 2018, 21: 84-90. doi: 10.1016/j.addma.2018.02.019 URL
[9]	SARDO L, DALDOUL W, VINCENT M, et al. Simulations of heat transfer in thermoplastic injection molds manufactured by additive techniques[J]. International Polymer Processing, 2019, 34(1): 37-46. doi: 10.3139/217.3594 URL
[10]	AHMMED M S. A finite volume numerical approach for predicting heat transfer in presence of thermal contact resistance[J]. Thermal Science and Engineering Progress, 2023, 37: 101618. doi: 10.1016/j.tsep.2022.101618 URL
[11]	严波, 李阳, 赵朋, 等. 基于改进有限体积法的三维注塑成型充模过程数值模拟[J]. 机械工程学报, 2015, 51(10): 25-32. doi: 10.3901/JME.2015.10.025
	YAN Bo, LI Yang, ZHAO Peng, et al. 3D simulation of filling stage of plastic injection molding based on improved finite volume method[J]. Journal of Mechanical Engineering, 2015, 51(10): 25-32. doi: 10.3901/JME.2015.10.025

算法	温度最大值/℃	最大值误差/℃
Moldflow MPI	198.6	—
传统FVM	239.7	41.1
改进FVM	205.3	6.7

算法	温度最大值/℃	最大值误差/℃
Moldflow MPI	110.4	—
传统FVM	139.0	28.6
改进FVM	96.7	13.7

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