Related Experiment Video
Updated: Feb 2, 2026

A Virtual Simulation Experiment of Mechanics: Material Deformation and Failure Based on Scanning Electron Microscopy
Published on: January 20, 2023
Mathematical Modelling and Simulation Research of Thermal Engraving Technology Based on PMMA Material
Xiaowei Han1, Xiaowei Liu2, Li Tian3
1Key Laboratory of Micro-systems and Micro-structures Manufacturing, Harbin Institute of Technology, Harbin 150000, China. hanxw2016@outlook.com.
Abstract:
We proposed a thermal engraving technology based on heat transfer theory and polymer rheology in microfluidic field. Then, we established a 3D model of the thermal engraving process based on polymethyl methacrylate (PMMA) material. We could employ the model to analyze the influence of temperature and speed on microchannel processing through the finite element simulation. Thus, we gained the optimal processing parameters. The orthogonal experiments were carried out within the parameter ranges obtained by the simulation results. Finally, we fabricated the smooth microchannel, the average roughness of which was 0.3 μm, by using the optimal parameters. Furthermore, we examined the surface morphology and wettability. Our work provides a convenient technological support for a fast, low-cost, and large-scale manufacturing method of microfluidic chips.
Related Concept Videos
Mathematical Modeling: Problem Solving
Mathematical Induction
Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units
One significant application of mathematics in pharmacokinetics is the characterization of drug distribution through the volume of distribution...
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55...
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
Thermal Strain

