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Antiferromagnetic viscosity model for electromotive microscale with second type nonlinear heat frame

Talat Körpinar

Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey

E-mail Address: talatkorpinar@gmail.com

Corresponding author.

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and

Zeliha Körpinar

Department of Administration, Muş Alparslan University, 49250, Muş, Turkey

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https://doi.org/10.1142/S0219887823501633Cited by:8 (Source: Crossref)

Abstract

In this paper, we construct second type frame affiliated with the nonlinear heat system. This work is an important study to present a spacelike Landau–Lifshitz second type $𝒩 ℒ ℋ 𝒮$ viscosity model. Then, we introduce antiferromagnetic spacelike Landau–Lifshitz second type $𝒩 ℒ ℋ 𝒮$ viscosity model electromotive nonlinear heat microscales. Also, we obtain optical magnetic spacelike second type $𝒩 ℒ ℋ 𝒮$ microscales in Minkowski space. Finally, we design antiferromagnetic viscosity model for optical Landau–Lifshitz second type $𝒩 ℒ ℋ 𝒮$ optimistic density.

Keywords:

PACS: 04.20.−q, 02.40.−k

References

1. T. Körpinar and Z. Körpinar, Spherical electric and magnetic phase with Heisenberg spherical ferromagnetic spin by some fractional solutions, Optik 242 (2021) 167164. Crossref, Web of Science, Google Scholar
2. T. Körpinar and Z. Körpinar, New version of optical spherical electric and magnetic flow phase with some fractional solutions in SH32, Optik 243 (2021) 167378. Crossref, Web of Science, Google Scholar
3. T. Körpinar and Z. Körpinar, Spherical magnetic flux flows with fractional Heisenberg spherical ferromagnetic spin of optical spherical flux density with fractional applications, Int. J. Geom. Methods Mod. Phys. 18(8) (2021) 2150117. Link, Web of Science, Google Scholar
4. T. Körpinar, R. C. Demi̇rkol, V. Asi̇l and Z. Körpinar, Magnetic flux surfaces by the fractional Heisenberg antiferromagnetic flow of magnetic b-lines in binormal direction in Minkowski space, J. Magn. Magn. Mater. 549 (2022) 168952. Crossref, Web of Science, Google Scholar
5. T. Körpinar, Z. Körpinar, R. C. Demi̇rkol and M. Yeneroğlu, Optical quasi flux density of Heisenberg ferromagnetic spin with qHATM approach, Optik 245 (2021) 167567. Crossref, Web of Science, Google Scholar
6. M. Kaplan, Two different systematic techniques to find analytical solutions of the $(2 + 1)$ -dimensional Boiti–Leon–Manna–Pempinelli equation, Chin. J. Phys. 56(5) (2018) 2523–2530. Crossref, Web of Science, Google Scholar
7. A. Akbulut, M. Kaplan and F. Tascan, The investigation of exact solutions of nonlinear partial differential equations by using exp method, Optik 132 (2017) 382–387. Crossref, Web of Science, Google Scholar
8. T. Körpinar, R. C. Demirkol and Z. Körpinar, New analytical solutions for the inextensible Heisenberg ferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction, Phys. Scr. 96(8) (2021) 085219. Crossref, Web of Science, Google Scholar
9. T. Körpinar and Z. Körpinar, A new approach for fractional spherical magnetic flux flows with some fractional solutions, Optik 240 (2021) 166906. Crossref, Web of Science, Google Scholar
10. T. Körpinar, Z. Körpinar and R. C. Demirkol, Binormal schrodinger system of wave propagation field of light radiate in the normal direction with q-HATM approach, Optik 235 (2020) 166444. Crossref, Web of Science, Google Scholar
11. T. Körpinar, Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model, Optik 219 (2020) 165134. Crossref, Web of Science, Google Scholar
12. T. Körpinar, R. C. Demirkol and Z. Körpinar, Polarization of propagated light with optical solitons along the fiber in de-Sitter space, Optik 226 (2021) 165872. Crossref, Web of Science, Google Scholar
13. H. I. Abu-Mulaweh, A review of research on laminar mixed convection flow over backward-and forward-facing steps, Int. J. Therm. Sci. 42(9) (2003) 897–909. Crossref, Web of Science, Google Scholar
14. M. Klazly and G. Bognar, Heat transfer enhancement for nanofluid flows over a microscale backward-facing step, Alexandria Eng. J. 61(10) (2022) 8161–8176. Crossref, Web of Science, Google Scholar
15. E. Abu-Nada, Application of nanofluids for heat transfer enhancement of separated flows encountered in a backward facing step, Int. J. Heat Fluid Flow 29(1) (2008) 242–249. Crossref, Web of Science, Google Scholar
16. G. Bognar, M. Klazly and K. Hriczo, Nanofluid flow past a stretching plate, Processes 8(7) (2020) 827. Crossref, Web of Science, Google Scholar
17. M. Corcione, Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids, Energy Convers. Manage. 52(1) (2011) 789–793. Crossref, Web of Science, Google Scholar
18. Y. Wang, Q. Zhang, L. Zhao and E. S. Kim, Ferrofluid liquid spring for vibration energy harvesting, in Proc. IEEE Int. Conf. Micro Electro Mechanical Systems (MEMS) (2015), pp. 122–125. Crossref, Google Scholar
19. M. A. Khairul, E. Doroodchi, R. Azizian and B. Moghtaderi, Advanced applications of tunable ferrofluids in energy systems and energy harvesters: A critical review, Energy Convers. Manage. 149 (2017) 660–674. Crossref, Web of Science, Google Scholar
20. A. K. Hilo, A. A. Iborra, M. T. H. Sultan and M. F. A. Hamid, Experimental study of nanofluids flow and heat transfer over a backward-facing step channel, Powder Technol. 372 (2020) 497–505. Crossref, Web of Science, Google Scholar
21. J. Kim and P. Moin, Application of a fractional-step method to incompressible Navier–Stokes equations, J. Comput. Phys. 59(2) (1985) 308–323. Crossref, Web of Science, Google Scholar
22. S. H. Chae, J. Suna, Y. Choi, Y.-E. Chi and C.-H. Ji, Electromagnetic linear vibration energy harvester using sliding permanent magnet array and ferrofluid as a lubricant, Micromachines 8 (2017) 288. Crossref, Web of Science, Google Scholar
23. S. Alazmi, Y. Xu and M. F. Daqaq, Harvesting energy from the sloshing motion of ferrofluids in an externally excited container: Analytical modeling and experimental validation, Phys. Fluids 28 (2016) 077101. Crossref, Web of Science, Google Scholar
24. Q. Liu, S. F. Alazemi, M. F. Daqaq and G. Li, A ferrofluid based energy harvester: Computational modeling, analysis, and experimental validation, J. Magn. Magn. Mater. 449 (2018) 105–118. Crossref, Web of Science, Google Scholar
25. T. Körpinar and Z. Körpinar, Optical spherical Ss-electric and magnetic phase with fractional q-HATM approach, Optik 243 (2021) 167274. Crossref, Web of Science, Google Scholar
26. T. Körpinar, R. C. Demirkol and Z. Körpinar, Magnetic helicity and electromagnetic vortex filament flows under the influence of Lorentz force in MHD, Optik 242 (2021) 167302. Crossref, Web of Science, Google Scholar
27. D. P. Arnold, Review of microscale magnetic power generation, IEEE Trans. Magn. 43 (2007) 3940–3951. Crossref, Web of Science, Google Scholar
28. D. Kim and K.-S. Yun, Energy harvester using contact-electrification of magnetic fluid droplets under oscillating magnetic field, J. Phys. Conf. Ser. 660 (2015) 012108. Crossref, Google Scholar
29. M.-L. Seol, S.-B. Jeon, J.-W. Han and Y.-K. Choi, Ferrofluid-based triboelectric-electromagnetic hybrid generator for sensitive and sustainable vibration energy harvesting, Nano Energy 31 (2017) 233–238. Crossref, Web of Science, Google Scholar
30. T. Kuwahara, F. De Vuyst and H. Yamaguchi, Flow regime classification in air-magnetic fluid two-phase flow, J. Phys. Condens. Matter 20 (2008) 204141. Crossref, Web of Science, Google Scholar
31. T. Körpinar and Z. Körpinar, Optical modeling for electromagnetic Heisenberg ferromagnetic microscale in Heisenberg group, Waves Random Complex Media (2022) 1–28, in press. Crossref, Web of Science, Google Scholar
32. T. Körpinar, Z. Körpinar and V. Ası̇l, Optical modeling for hybrid visco ferromagnetic electromotive energy flux microscale, Optik 268 (2022) 169770. Crossref, Web of Science, Google Scholar
33. T. Körpinar and Z. Körpinar, Optical modeling for electrical ferromagnetic microscale with electroostimistic velocity, Optik 259 (2022) 168843. Crossref, Web of Science, Google Scholar
34. T. Körpinar and Z. Körpinar, Optical hybrid electrical visco ferromagnetic microscale with hybrid electrolytic thruster, Opt. Quantum Electron. 54(12) (2022) 826. Crossref, Web of Science, Google Scholar
35. A. Agrawal, H. M. Kushwaha and R. S. Jadhav, Microscale Flow and Heat Transfer (Springer International Publishing, Cham, 2020). Crossref, Google Scholar
36. S. Yang, M. Huang, Y. Zhao and H. P. Zhang, Controlling cell motion and microscale flow with polarized light fields, Phys. Rev. Lett. 126(5) (2021) 058001. Crossref, Web of Science, Google Scholar
37. T. Körpinar, R. C. Demirkol and Z. Körpinar, Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space, Optik 238 (2021) 166403. Crossref, Web of Science, Google Scholar
38. T. Körpinar and Z. Körpinar, Timelike spherical magnetic $𝕊_{N}$ flux flows with Heisenberg spherical ferromagnetic spin with some solutions, Optik 242 (2021) 166745. Crossref, Web of Science, Google Scholar
39. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm and S. Chu, Observation of a single-beam gradient force optical trap for dielectric particles, Opt. Lett. 11 (1986) 288–290. Crossref, Web of Science, Google Scholar
40. A. Ashkin, Acceleration and trapping of particles by radiation pressure, Phys. Rev. Lett. 24 (1970) 156–159. Crossref, Web of Science, Google Scholar
41. M. M. Burns, J.-M. Fournier and J. A. Golovchenko, Optical binding, Phys. Rev. Lett. 63 (1989) 1233–1236. Crossref, Web of Science, Google Scholar
42. G. M. Beffa, Hamiltonian evolution of curves in classical affine geometries, Physica D 238 (2009) 100–115. Crossref, Web of Science, Google Scholar
43. A. Calini and T. Ivey, Finite-gap solutions of the vortex filament equation genus one solutions and symmetric solutions, J. Nonlinear Sci. 15 (2005) 321–361. Crossref, Web of Science, Google Scholar
44. G. M. Beffa and P. J. Olver, Poisson structure for geometric curve flows in semi-simple homogeneous spaces, Regul. Chaotic Dyn. 15 (2010) 532–550. Crossref, Web of Science, Google Scholar
45. K. S. Chou and C. Qu, The KdV equation and motion of plane curves, J. Phys. Soc. Jpn. 70(7) (2001) 1912–1916. Crossref, Google Scholar
46. Y. Y. Li, C. Z. Qu and S. C. Shu, Integrable motions of curves in projective geometries, J. Geom. Phys. 60 (2010) 972–985. Crossref, Web of Science, Google Scholar
47. N. Gürbüz, Moving non-null curves according to Bishop frame in Minkowski 3-space, Int. J. Geom. Methods Mod. Phys. 12(5) (2015) 1550052. Link, Web of Science, Google Scholar
48. T. Körpinar, R. C. Demirkol, Z. Körpinar and V. Asil, Maxwellian evolution equations along the uniform optical fiber in Minkowski space, Rev. Mex. Fis. 66(4) (2020) 431–439. Crossref, Web of Science, Google Scholar
49. R. Balakrishnan, A. R. Bishop and R. Dandoloff, Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain, Phys. Rev. Lett. 64(18) (1990) 2107. Crossref, Web of Science, Google Scholar
50. K. Y. Bliokh, Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium, J. Opt. A: Pure Appl. Opt. 11(9) (2009) 094009. Crossref, Google Scholar
51. F. Wassmann and A. Ankiewicz, Berry’s phase analysis of polarization rotation in helicoidal fibers, Appl. Opt. 37(18) (1998) 3902–3911. Crossref, Web of Science, Google Scholar
52. R. L. Ricca, Inflexional disequilibrium of magnetic flux-tubes, Fluid Dyn. Res. 36(4–6) (2005) 319. Crossref, Web of Science, Google Scholar
53. R. Gilmore, Length and curvature in the geometry of thermodynamics, Phys. Rev. A 30(4) (1984) 1994. Crossref, Web of Science, Google Scholar
54. N. E. Gürbüz, The evolution of an electric field, Hasimoto surfaces and three differential formulas with the new frame in R13, Optik 272 (2023) 170217. Crossref, Web of Science, Google Scholar
55. N. E. Gürbüz, The evolution of electric field in pseudo-Galilean 3-space G13, Optik 269 (2022) 169818. Crossref, Web of Science, Google Scholar
56. N. E. Gürbüz, The null geometric phase along optical fiber for anholonomic coordinates, Optik 258 (2022) 168841. Crossref, Web of Science, Google Scholar
57. T. Körpinar, Ÿ. Unlütürk and Z. Körpinar, A different modelling of complex Hasimoto map for pseudo-null curves via Bishop frame, Complex Var. Elliptic Equations (2022) 1–16, in press. Web of Science, Google Scholar
58. T. Körpinar, Z. Körpinar and V. Asi̇l, Optical electromotive microscale with first type Schrödinger frame, Optik 276 (2023) 170629. Crossref, Web of Science, Google Scholar