THERMAL SCIENCE
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DIMENSIONLESS ANALYSIS FOR THE 3-D PRINTING PROCESS
ABSTRACT
The dimensionless analysis is a highly effective mathematical tool for the physical comprehension of intricate phenomena. This paper employs the aforementioned mathematical tool to study the 3-D printing process. A number of criteria for a precise printing process have been identified, which can be used to optimize the printing process and offer a new strategy to improve its printing accuracy.
KEYWORDS
PAPER SUBMITTED: 2024-04-15
PAPER REVISED: 2024-07-07
PAPER ACCEPTED: 2024-07-07
PUBLISHED ONLINE: 2025-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI2503701Z
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REFERENCES
[1] Zastrow, M., The New 3-D Printing, Nature, 578 (2020), 7793, pp. 20-23
[2] Wallin, T. J., et al., 3-D Printing of soft Robotic Systems, Nature Reviews Materials, 3 (2018), 6, pp. 84- 100, 10.1038/s41578-018-0002-2
[3] Joyee, E. B., Pan, Y. Y., A Fully 3-D Printed Inchworm-Inspired Soft Robot with Magnetic Actuation, Soft Robotics, 6 (2019), 3, pp. 333-345, 10.1089/soro.2018.0082
[4] Thompson, B., Bundell, S., How to 3-D Print Fully Formed Robots, Nature, On-line first, , 2023, 10.1038/d41586-023-03570-w
[5] Zhang, S. J., et al., Piezo Robotic Hand for Motion Manipulation from Micro to Macro, Nature Communications, 14 (2023), 1, 500, 10.1038/s41467-023-36243-3
[6] Kong, Y. L., Multi-Material 3-D Printing Guided by Machine Vision, Nature, 623 (2023), 7987, pp. 488-490, 10.1038/d41586-023-03420-9
[7] Buchner, T. J. K., et al., Vision-Controlled Jetting for Composite Systems and Robots, Nature, 623 (2023), 7987, pp. 522-530, 10.1038/s41586-023-06684-3
[8] Zuo, Y. T., A Gecko-like Fractal Receptor of a Three-dimensional Printing Technology: A Fractal Oscillator, Journal of Mathematical Chemistry, 59 (2021), 3, pp. 735-744, 10.1007/s10910-021-01212-y
[9] Zuo, Y. T., Effect of SiC Particles on Viscosity of 3-D Print Paste: A Fractal Rheological Model and Experimental Verification, Thermal Science, 25 (2021), 3B, pp. 2403-2407, 10.2298/tsci200710131z
[10] Zuo, Y. T., Liu, H. J., A Fractal Rheological Model for SiC Paste Using a Fractal Derivative, Journal of Applied and Computational Mechanics, 7 (2021), 1, pp. 13-18
[11] Zuo, Y. T., Liu, H. J., Fractal Approach to Mechanical and Electrical Properties of Graphene/SiC Composites, Facta Universitatis-Series Mechanical Engineering, 19 (2021), 2, pp. 271-284, 10.22190/fume201212003z
[12] Zuo, Y. T., Liu, H. J., Instability of the Printing Jet During the Three-dimensional Printing Process, Journal of Low Frequency Noise, Vibration & Active Control, 40 (2021), 4, pp. 1795-1803, 10.1177/14613484211021518
[13] Estrada-Diaz, J. A., et al., A Mathematical Dimensionless Model for Electrohydrodynamics, Results in Physics, 25 (2021), 10425, 10.1016/j.rinp.2021.104256
[14] He, J.-H., On the Height of Taylor Cone in Electrospinning, Results in Physics, 17 (2020), June, 103096, 10.1016/j.rinp.2020.103096
[15] He, C. H., et al., Taylor Series Solution for Fractal Bratu-type Equation Arising in Electrospinning Process, Fractals, 28 (2020), 1, 2050011, 10.1142/s0218348x20500115
[16] He, J.-H., et al., The Maximal Wrinkle Angle During the Bubble Collapse and Its Application to the Bubble Electrospinning, Frontiers in Materials, 8 (2022), 800567, 10.3389/fmats.2021.800567
[17] Qian, M. Y., He, J.-H., Collection of Polymer Bubble As A Nanoscale Membrane, Surfaces and Interface, 28 (2022), 101665, 10.1016/j.surfin.2021.101665
[18] Qian, M. Y., et al., Enhanced Piezoelectric Performance of PVDF Nanofibers by Biomimicking The Spider's Long Liquid Transport, Chemical Engineering Journal, 483 (2024), 149159, 10.1016/j.cej.2024.149159
[19] He, C. H., Liu, C., Fractal Dimensions of a Porous Concrete and Its Effect on the Concrete's Strength, Facta Universitatis Series, Mechanical Engineering, 21 (2023), 1, pp. 137-150, 10.22190/fume221215005h
[20] He, C. H., et al., A Novel Bond Stress-slip Model for 3-D Printed Concretes, Discrete and Continuous dynamical Systems-Series S, 15 (2022), 7, pp. 1669-1683, 10.3934/dcdss.2021161
[21] Zuo, Y. T., Liu, H. J., Is the Spider a Weaving Master or a Printing Expert?, Thermal Science, 26 (2022), 3B, pp. 2471-2475, 10.2298/tsci2203471z
[22] Zuo, Y. T., Gecko-inspired Fractal Buffer for Passenger Elevator, Facta Universitatis-Series Mechanical Engineering, On-line first, , 2024, 10.22190/FUME240314022Z
[23] Aronne, M., et al., 3-D-Printed MEMS in Italy, Micromachines, 15 (2024), 6, 678, 10.3390/mi15060678
[24] Dahle, R., Rasel, R., 3-D Printing as an Effective Educational Tool for MEMS Design and Fabrication, IEEE Transactions on Education, 59 (2016), 3, pp. 210-215, 10.1109/te.2016.2515071
[25] He, J.-H., Periodic Solution of a Micro-Electromechanical System, Facta Universitatis, Series: Mechanical Engineering, 22 (2024), 2, pp. 187-198, 10.22190/fume240603034h
[26] He, J.-H., et al., Piezoelectric Biosensor Based on Ultrasensitive MEMS System, Sensors and Actuators A: Physical, 376 (2024), 115664, 10.1016/j.sna.2024.115664
[27] He, C. H., A Variational Principle for a Fractal Nano/Microelectromechanical (N/MEMS) System, International Journal of Numerical Methods for Heat & Fluid Flow, 33 (2023), 1, pp. 351-359, 10.1108/hff-03-2022-0191
[28] He, C. H., et al., A Novel Bond Stress-Slip Model for 3-D Printed Concretes, Discrete and Continuous Dynamical Systems, 15 (2021), 7, pp. 1669-1683
[29] Liu, H., et al., Influence of Pore Defects on the Hardened Properties of 3-D Printed Concrete with Coarse Aggregate, Additive Manufacturing, 55 (2022), 102843, 10.1016/j.addma.2022.102843
[30] Zuo, Y. T., Variational Principle for a Fractal Lubrication Problem, Fractals, 32 (2024), 5, pp. 1-6, 10.1142/s0218348x24500804
[31] Zhang, J. Q., et al., Ultrauniform, Strong, and Ductile 3-D Printed Titanium Alloy Through Bifunctional Alloy Design, Science, 383 (2024), Feb., pp. 639-645, 10.1126/science.adj0141
[32] Zhang, L. C., Wang, J. C., Stabilizing 3-D Printed Metal Alloys, Science, 383 (2024), Feb., pp. 586-587, 10.1126/science.adn6566
[33] Han, C., et al., A High-Precision Numerical Approach to Solving Space Fractional Gray-Scott Model, Applied Mathematics Letters, 125 (2022), 1077596, 10.1016/j.aml.2021.107759
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© 2026 Society of Thermal Engineers of Serbia. Published by the VinĨa Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence


