THERMAL SCIENCE

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Xuejuan Li

A FRACTAL-FRACTIONAL MODEL FOR COMPLEX FLUID-FLOW WITH NANOPARTICLES

ABSTRACT
Nanoparticles play an important role in nanofluids to enhance thermal conduction, and can be easily controlled by a magnetic force, so it can be widely used in nano/micro devices. This paper gives two mathematical models to describe the nanofluid flow, one is an approximate continuum model, in which the homotopy matching is used to deal the discontinuity between the fluid and nanoparticles, and the other is to use the conservation laws in a fractal space. The models give new physical insight into the particle fluid-flow.
KEYWORDS
nanoparticles, nanoscale flow, nanofluid, fractal derivative, homotopy matching
PAPER SUBMITTED: 2021-12-20
PAPER REVISED: 2022-07-19
PAPER ACCEPTED: 2022-07-19
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303057L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [2057 - 2063]
REFERENCES
  1. Buongiorno, J., Convective Transport in Nanofluid, Journal of Heat Transfer-Transactions of the ASME, 128 (2006), 3, pp. 240-50
  2. Eastman, J. A., et al., Anomalously Increased Effective Thermal Conductivities of Ethylene Glycol- Based Nanofluids Containing Copper Nanoparticles, Applied Physics Letters, 78 (2001), 6, pp. 718-20
  3. Khanafer, K., et al., Buoyancy-Driven Heat Transfer Enhancement in a Two-Dimensional Enclosure Utilizing Nanofluids, International Journal of Heat and Mass Transfer, 46 (2003), 19, pp. 3639-3653
  4. Xuan, Y. M., et al., Heat Transfer Enhancement of Nanofluids, International Journal of Heat and Fluid-flow, 21 (2000), 1, pp. 58-64
  5. Xuan, Y. M., et al., Conceptions for Heat Transfer Correlation of Nanofluids, International Journal of Heat and Mass Transfer, 43 (2000), 19, pp. 3701-3707
  6. Ramzan, M., et al., On the Convective Heat and Zero Nanoparticle Mass Flux Conditions in the Flow of 3D MHD Couple Stress Nanofluid Over an Exponentially Stretched Surface, Scientific Reports, 9 (2019), Jan., 562
  7. Deatsch, A. E., et al., Heating Efficiency in Magnetic Nanoparticle Hyperthermia, Journal of Magnetism and Magnetic Materials, 354 (2014), Mar., pp. 163-172
  8. He, J.-H., et al., Insight into the Significance of Hall Current and Joule Heating on the Dynamics of Dar-cy-Forchheimer Peristaltic Flow of Rabinowitsch Fluid, Journal of Mathematics, 2021 (2021), Oct., 3638807
  9. Tousi, M., et al., Numerical Study of Novel Liquid-Cooled Thermal Management System for Cylindrical Li-Ion Battery Packs Under High Discharge Rate Based on AgO Nanofluid and Copper Sheath, Journal of Energy Storage, 41 (2021), Sept., 102910
  10. He, J.-H., et al., Insights into Partial Slips and Temperature Jumps of a Nanofluid Flow over a Stretched or Shrinking Surface, Energies, 14 (2021), 20, 6691
  11. He, C. H., et al., Controlling the Kinematics of a Spring-Pendulum System Using an Energy Harvesting Device, Journal of Low Frequency Noise Vibration and Active Control, 41 (2022), 3, pp. 1234-1257
  12. Wang, K. J., et al., Thermal Management of 3-D Integrated Circuits With Special Structures, Thermal Science, 25 (2021), 3B, pp. 2221-2225
  13. He, J.-H., et al., Fast Identification of the Pull-In Voltage of a Nano/Micro-Electromechanical System, Journal of Low Frequency Noise Vibration and Active Control, 41 (2022), 2, pp. 566-571
  14. Tian, D., He, C. H., A Fractal Micro-Electromechanical System and Its Pull-In Stability, Journal of Low Frequency Noise Vibration and Active Control, 40 (2021), 3, pp. 1380-1386
  15. Qian, M. Y., et al., Collection of Polymer Bubble as a Nanoscale Membrane, Surfaces and Interfaces, 28 (2022), Dec., 101665
  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), Feb., 800567
  17. Li, X. J.,et al., Variational Multi-Scale Finite Element Method for the Two-Phase Flow of Polymer Melt Filling Process, International Journal of Numerical Methods for Heat & Fluid-flow, 30 (2020), 3, pp. 1407-1426
  18. Li, X. J., et al., Multi-Scale Numerical Approach to the Polymer Filling Process in the Weld Line Region, Facta Universtatis Series: Mechanical Engineering, 20 (2022), 2
  19. Bhatti, M. M., et al., Heat and Mass Transfer of Two-Phase Flow with Electric Double Layer Effects Induced Due to Peristaltic Propulsion in the Presence of Transverse Magnetic Field, Journal of Molecular Liquids, 230 (2017), Mar., pp. 237-246
  20. He, J.-H., et al., Non-linear EHD Instability of Two-Superposed Walters' B Fluids Moving through Porous Media, Axioms, 10 (2021), 4, 258
  21. Yao, X., et al., On Fabrication of Nanoscale Non-Smooth Fibers with High Geometric Potential and Nanoparticle's Non-Linear Vibration, Thermal Science, 24 (2020), 4, pp. 2491-2497
  22. Tian, D., et al., Hierarchical Aligned ZnO Nanorods on Surface of PVDF/Fe2O3 Nanofibers by Electro-spinning in a Magnetic Field, Thermal Science, 25 (2021), 3B, pp. 2399-2403
  23. Zuo, Y.-T., et al., Fractal Approach to Mechanical and Electrical Properties of Graphene/Sic Composites, Facta Universitatis-Series Mechanical Engineering, 19 (2021), 2, pp. 271-284
  24. 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. 2405-2409
  25. Peng, N. B., et al., Insight into the Wetting Property of a Nanofiber Membrane by the Geometrical Potential, Recent Patents on Nanotechnology, 14 (2020), 1, pp. 64-70
  26. Li, X. X., et al., High Energy Surface as a Receptor in Electrospinning: A Good Switch for Hydrophobicity to Hydrophilicity, Thermal Science, 25 (2021), 3B, pp. 2205-221
  27. He, J. H., et al., Non-linear Instability Of Two Streaming-Superposed Magnetic Reiner-Rivlin Fluids by He-Laplace Method, Journal of electroanalytical Chemistry, 895 (2021), Aug., 115388
  28. He, C. H., El-Dib, Y. O. A Heuristic Review on the Homotopy Perturbation Method for Non- Conservative Oscillators, Journal of Low Frequency Noise Vibration and Active Control, 41 (2022), 2, pp. 572-603
  29. He, J.-H., Fractal Calculus and Its Geometrical Explanation, Results in Physics, 10 (2018), Sept., pp. 272-276
  30. He, C. H., et al., Fractal Approach to the Fluidity of a Cement Mortar, Nonlinear Engineering, 11 (2022), 1, pp. 1-5
  31. He, C. H., et al., A Fractal Model for the Internal Temperature Response of a Porous Concrete, Applied and Computational Mathematics, 21 (2022), 1, pp. 71-77
  32. He, C. H., et al., A Novel Bond Stress-Slip Model for 3-D Printed Concretes, Discrete and Continuous dynamical Systems, 15 (2022), 7, pp. 1669-1683
  33. He, C. H., A Variational Principle for a Fractal Nano/Microelectromechanical (N/MEMS) System, International Journal of Numerical Methods for Heat & Fluid-flow, 33 (2022), 1, pp. 351-359
  34. He, C. H., et al., A Modified Frequency-Amplitude Formulation for Fractal Vibration Systems, Fractals, 30 (2022), 3, 2250046
  35. Wang, Y., et al., Fractal Derivative Model for Tsunami Traveling, Fractals, 27 (2019), 2, 1950017
  36. He, J.-H., Seeing with a Single Scale is Always Unbelieving: From magic to two-scale fractal, Thermal Science, 25 (2021), 2B, pp. 1217-1219
  37. He, J.-H., Qian, M. Y., A Fractal Approach to the Diffusion Process of Red Ink in a Saline Water, Thermal Science, 26 (2022), 3B, pp. 2447-2451
  38. He, J.-H., et al., A Tutorial Introduction to the Two-Scale Fractal Calculus and Its Application to the Fractal Zhiber-Shabat Oscillator, Fractals, 29 (2021), 8, 2150268
  39. Qian, M. Y., He, J. H., Two-Scale Thermal Science for Modern Life - Making the Impossible Possible, Thermal Science, 26 (2022), 3B, pp. 2409-2412
  40. Anjum, N., et al., Two-Scale Fractal Theory for the Population Dynamics, Fractals, 29 (2021), 7, 2150182
  41. Li, X. J., et al., A Fractal Two-Phase Flow Model for the Fiber Motion in a Polymer Filling Process, Fractals, 28 (2020), 4, 2050093
  42. Kumar, K., et al., Irreversibility Analysis in Al2O3-Water Nanofluid Flow with Variable Property, Facta Universitatis Series: Mechanical Engineering, 20 (2022), 3, pp. 503-518
  43. He, J.-H., Abd Elazem, N. Y., The Carbon Nanotube-Embedded Boundary Layer Theory for Energy Harvesting, Facta Universitatis Series: Mechanical Engineering, 20 (2022), 2, pp. 211-235
  44. Ghalambaz, M., et al., Convective Flow and Heat Transfer of Nano-Encapsulated Phase Change Material (NEPCM) Dispersions along a Vertical Surface, Facta Universitatis Series: Mechanical Engineering, 20 (2022), 3, pp. 519-538
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A fractal-fractional model for complex fluid-flow with nanoparticles

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