Araştırma Makalesi
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Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets

Yıl 2026, Cilt: 30 Sayı: 1 , 106 - 113 , 24.04.2026
https://doi.org/10.19113/sdufenbed.1789977
https://izlik.org/JA53HC37EX

Öz

In density measurements using magnetic levitation and in magnetic sensor applications, the linearity of the magnetic field and magnetic force is important for measurement convenience. In line with this purpose, an analysis was conducted on a sample magnet configuration with dimensions of 3×60×10 mm to show influence of magnet spacing on the magnetic field linearity. Additionally, the most commonly used magnet dimensions in industry were selected, and the analyses were repeated for each set individually. For each configuration, the distance between the magnets varied between 1 mm and 10 mm, and for each distance, the magnetic field distribution along the magnetization direction on the central axis of the magnets was calculated and fitted to a linear function. Linearity in these fitting processes was evaluated using the R² and rmse metrics. The highest value of R² = 0.9999 and lowest value of rmse=0.25 mT was obtained for the magnet spacing of 2 mm.

Kaynakça

  • [1] Delikoyun, K., Yaman, S., Yilmaz, E., Sarigil, O., Anil-Inevi, M., Telli, K., et al. 2021. HologLev: A hybrid magnetic levitation platform integrated with lensless holographic microscopy for density-based cell analysis. ACS Sensors, 6(6), 2191–2201.
  • [2] Gao, Q.H., Song, P.H., Zou, H.X., Wu, Z.Y., Zhao, L.C., Zhang, W.M. 2025. Three-dimensional manipulation via magnetic levitation. International Journal of Mechanical Sciences, 287, 109949.
  • [3] Frenea-Robin, M., Marchalot, J. 2022. Basic principles and recent advances in magnetic cell separation. Magnetochemistry, 8(1), 11.
  • [4] Zhang, C., Zhao, P., Wen, W., Xie, J., Xia, N., Fu, J. 2018. Density-based cell analysis using magnetic levitation. Polymer Testing, 70, 520–525.
  • [5] Subramaniam, A.B., Yang, D., Yu, H.D., Nemiroski, A., Tricard, S., Ellerbee, A.K., et al. 2014. Noncontact orientation of objects in three-dimensional space using magnetic levitation. Proceedings of the National Academy of Sciences, 111(36), 12980–12985.
  • [6] Kartal, R.B., Arslan Yildiz, A. 2024. Exploring neuronal differentiation profiles in SH-SY5Y cells through magnetic levitation analysis. ACS Omega, 9(13), 14955–14962.
  • [7] Xie, J., Zhang, C., Gu, F., Wang, Y., Fu, J., Zhao, P. 2019. An accurate and versatile density measurement device: Magnetic levitation. Sensors and Actuators B: Chemical, 295,
  • [8] Netzer, Y. 1981. A very linear noncontact displacement measurement with a Hall-element magnetic sensor. Proceedings of the IEEE, 69(4), 491–492.
  • [9] Roumenin, C.S., Lozanova, S.V. 2007. Linear displacement sensor using a new CMOS double-Hall device. Sensors and Actuators A: Physical, 138(1), 37–43.
  • [10] He, Q., Fan, S., Chen, N., Tan, R., Chen, F., Fan, D. 2021. Analysis of inductive displacement sensors with large range and nanoscale resolution. Applied Sciences, 11(21), 10134.
  • [11] Hancox, C.I., Doret, S.C., Hummon, M.T., Luo, L., Doyle, J.M. 2004. Magnetic trapping of rare-earth atoms at millikelvin temperatures. Nature, 431(7006), 281–284.
  • [12] Anil-Inevi, M., Yaman, S., Yildiz, A.A., Mese, G., Yalcin-Ozuysal, O., Tekin, H.C., Ozcivici, E. 2018. Biofabrication of in situ self-assembled 3D cell cultures in a weightlessness environment generated using magnetic levitation. Scientific Reports, 8(1), 7239.
  • [13] Camacho, J.M., Sosa, V. 2013. Alternative method to calculate the magnetic field of permanent magnets with azimuthal symmetry. Revista Mexicana de Física E, 59(1), 8–17.
  • [14] Edwards, C., Palmer, S.B. 1986. The magnetic leakage field of surface-breaking cracks. Journal of Physics D: Applied Physics, 19(4), 657.
  • [15] Anil-Inevi, M., Sarigil, O., Unal, Y.C., Tekin, H.C., Mese, G., Ozcivici, E. 2025. Magnetic levitation-based determination of single-nuclei density. Biomaterials Advances, 214581.
  • [16] Shah, A.S., Karabulut, M.A. 2022. Reliability estimation for drone communications by using an MLP-based model. International Advanced Researches and Engineering Journal, 6(3), 204–210.
  • [17] Ergül, B., Yıldız, Z. 2023. Comparison of classical and robust factor analyses methods. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 27(3), 401–410.
  • [18] Durmus, N.G., Tekin, H.C., Guven, S., Sridhar, K., Arslan Yildiz, A., Calibasi, G., et al. 2015. Magnetic levitation of single cells. Proceedings of the National Academy of Sciences, 112(28), E3661–E3668.
  • [19] Yu, J., Li, D., Zhu, C., Ouyang, Q., Miao, C., Yu, H. 2023. A magnetic levitation system for range/sensitivity-tunable measurement of density. Sensors, 23(8), 3955.
  • [20] Zhang, C., Zhao, P., Wen, W., Xie, J., Xia, N., Fu, J. 2018. Density measurement via magnetic levitation: linear relationship investigation. Polymer Testing, 70, 520–525.
  • [21] Xie, J., Zhang, C., Gu, F., Wang, Y., Fu, J., Zhao, P. 2019. An accurate and versatile density measurement device: Magnetic levitation. Sensors and Actuators B: Chemical, 295, 204–214.
  • [22] Rabie, M., Ibrahim, S.S., Eltawil, A.A., Sayed, B.M. 2025. Investigation of the accurate hybrid automatic magnetic levitation system for measuring the high density of material. Measurement, 118866.
  • [23] Anil-Inevi, M., Sarigil, O., Unal, Y.C., Tekin, H.C., Mese, G., Ozcivici, E. 2025. Magnetic levitation-based determination of single-nuclei density. Biomaterials Advances, 214581.

Mıknatıs Aralığının Manyetik Alan Doğrusallığına Etkisinin Ticari Dikdörtgen Mıknatıslarda İncelenmesi

Yıl 2026, Cilt: 30 Sayı: 1 , 106 - 113 , 24.04.2026
https://doi.org/10.19113/sdufenbed.1789977
https://izlik.org/JA53HC37EX

Öz

Manyetik levitasyon kullanılarak yapılan yoğunluk ölçümlerinde ve manyetik sensör uygulamalarında, manyetik alanın ve manyetik kuvvetin doğrusallığı ölçüm kolaylığı açısından önemlidir. Bu amaca uygun olarak, manyetik alan doğrusallığı üzerindeki mıknatıslar arası mesafenin etkisini göstermek için 3×60×10 mm boyutlarında örnek bir mıknatıs konfigürasyonu üzerinde bir analiz yapılmıştır. Ek olarak endüstride sıklıkla kullanılan ticari mıknatıs boyutları seçilerek aynı analizler tekrarlanmıştır. Her bir konfigürasyon için, mıknatıslar arasındaki mesafe 1 mm ile 10 mm arasında değiştirilmiş ve her mesafe için, mıknatısların merkez ekseni boyunca manyetizasyon yönündeki manyetik alan dağılımı hesaplanmış ve doğrusal bir fonksiyona uydurulmuştur. Bu uydurma süreçlerindeki doğrusallık, R² ve rmse metrikleri kullanılarak değerlendirilmiştir. R² = 0.9999 en yüksek değeri ve rmse = 0.25 mT en düşük değeri 2 mm’lik mıknatıs aralığı için elde edilmiştir.

Kaynakça

  • [1] Delikoyun, K., Yaman, S., Yilmaz, E., Sarigil, O., Anil-Inevi, M., Telli, K., et al. 2021. HologLev: A hybrid magnetic levitation platform integrated with lensless holographic microscopy for density-based cell analysis. ACS Sensors, 6(6), 2191–2201.
  • [2] Gao, Q.H., Song, P.H., Zou, H.X., Wu, Z.Y., Zhao, L.C., Zhang, W.M. 2025. Three-dimensional manipulation via magnetic levitation. International Journal of Mechanical Sciences, 287, 109949.
  • [3] Frenea-Robin, M., Marchalot, J. 2022. Basic principles and recent advances in magnetic cell separation. Magnetochemistry, 8(1), 11.
  • [4] Zhang, C., Zhao, P., Wen, W., Xie, J., Xia, N., Fu, J. 2018. Density-based cell analysis using magnetic levitation. Polymer Testing, 70, 520–525.
  • [5] Subramaniam, A.B., Yang, D., Yu, H.D., Nemiroski, A., Tricard, S., Ellerbee, A.K., et al. 2014. Noncontact orientation of objects in three-dimensional space using magnetic levitation. Proceedings of the National Academy of Sciences, 111(36), 12980–12985.
  • [6] Kartal, R.B., Arslan Yildiz, A. 2024. Exploring neuronal differentiation profiles in SH-SY5Y cells through magnetic levitation analysis. ACS Omega, 9(13), 14955–14962.
  • [7] Xie, J., Zhang, C., Gu, F., Wang, Y., Fu, J., Zhao, P. 2019. An accurate and versatile density measurement device: Magnetic levitation. Sensors and Actuators B: Chemical, 295,
  • [8] Netzer, Y. 1981. A very linear noncontact displacement measurement with a Hall-element magnetic sensor. Proceedings of the IEEE, 69(4), 491–492.
  • [9] Roumenin, C.S., Lozanova, S.V. 2007. Linear displacement sensor using a new CMOS double-Hall device. Sensors and Actuators A: Physical, 138(1), 37–43.
  • [10] He, Q., Fan, S., Chen, N., Tan, R., Chen, F., Fan, D. 2021. Analysis of inductive displacement sensors with large range and nanoscale resolution. Applied Sciences, 11(21), 10134.
  • [11] Hancox, C.I., Doret, S.C., Hummon, M.T., Luo, L., Doyle, J.M. 2004. Magnetic trapping of rare-earth atoms at millikelvin temperatures. Nature, 431(7006), 281–284.
  • [12] Anil-Inevi, M., Yaman, S., Yildiz, A.A., Mese, G., Yalcin-Ozuysal, O., Tekin, H.C., Ozcivici, E. 2018. Biofabrication of in situ self-assembled 3D cell cultures in a weightlessness environment generated using magnetic levitation. Scientific Reports, 8(1), 7239.
  • [13] Camacho, J.M., Sosa, V. 2013. Alternative method to calculate the magnetic field of permanent magnets with azimuthal symmetry. Revista Mexicana de Física E, 59(1), 8–17.
  • [14] Edwards, C., Palmer, S.B. 1986. The magnetic leakage field of surface-breaking cracks. Journal of Physics D: Applied Physics, 19(4), 657.
  • [15] Anil-Inevi, M., Sarigil, O., Unal, Y.C., Tekin, H.C., Mese, G., Ozcivici, E. 2025. Magnetic levitation-based determination of single-nuclei density. Biomaterials Advances, 214581.
  • [16] Shah, A.S., Karabulut, M.A. 2022. Reliability estimation for drone communications by using an MLP-based model. International Advanced Researches and Engineering Journal, 6(3), 204–210.
  • [17] Ergül, B., Yıldız, Z. 2023. Comparison of classical and robust factor analyses methods. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 27(3), 401–410.
  • [18] Durmus, N.G., Tekin, H.C., Guven, S., Sridhar, K., Arslan Yildiz, A., Calibasi, G., et al. 2015. Magnetic levitation of single cells. Proceedings of the National Academy of Sciences, 112(28), E3661–E3668.
  • [19] Yu, J., Li, D., Zhu, C., Ouyang, Q., Miao, C., Yu, H. 2023. A magnetic levitation system for range/sensitivity-tunable measurement of density. Sensors, 23(8), 3955.
  • [20] Zhang, C., Zhao, P., Wen, W., Xie, J., Xia, N., Fu, J. 2018. Density measurement via magnetic levitation: linear relationship investigation. Polymer Testing, 70, 520–525.
  • [21] Xie, J., Zhang, C., Gu, F., Wang, Y., Fu, J., Zhao, P. 2019. An accurate and versatile density measurement device: Magnetic levitation. Sensors and Actuators B: Chemical, 295, 204–214.
  • [22] Rabie, M., Ibrahim, S.S., Eltawil, A.A., Sayed, B.M. 2025. Investigation of the accurate hybrid automatic magnetic levitation system for measuring the high density of material. Measurement, 118866.
  • [23] Anil-Inevi, M., Sarigil, O., Unal, Y.C., Tekin, H.C., Mese, G., Ozcivici, E. 2025. Magnetic levitation-based determination of single-nuclei density. Biomaterials Advances, 214581.
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Elektrostatik ve Elektrodinamik, Sensör Teknolojisi , Biyomedikal Tanı, Mühendislik Elektromanyetiği
Bölüm Araştırma Makalesi
Yazarlar

Samed Gümüş 0009-0009-3832-6691

Yavuz Öztürk 0000-0002-9650-6350

Gönderilme Tarihi 23 Eylül 2025
Kabul Tarihi 21 Ocak 2026
Yayımlanma Tarihi 24 Nisan 2026
DOI https://doi.org/10.19113/sdufenbed.1789977
IZ https://izlik.org/JA53HC37EX
Yayımlandığı Sayı Yıl 2026 Cilt: 30 Sayı: 1

Kaynak Göster

APA Gümüş, S., & Öztürk, Y. (2026). Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 30(1), 106-113. https://doi.org/10.19113/sdufenbed.1789977
AMA 1.Gümüş S, Öztürk Y. Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2026;30(1):106-113. doi:10.19113/sdufenbed.1789977
Chicago Gümüş, Samed, ve Yavuz Öztürk. 2026. “Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 (1): 106-13. https://doi.org/10.19113/sdufenbed.1789977.
EndNote Gümüş S, Öztürk Y (01 Nisan 2026) Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 1 106–113.
IEEE [1]S. Gümüş ve Y. Öztürk, “Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 30, sy 1, ss. 106–113, Nis. 2026, doi: 10.19113/sdufenbed.1789977.
ISNAD Gümüş, Samed - Öztürk, Yavuz. “Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30/1 (01 Nisan 2026): 106-113. https://doi.org/10.19113/sdufenbed.1789977.
JAMA 1.Gümüş S, Öztürk Y. Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2026;30:106–113.
MLA Gümüş, Samed, ve Yavuz Öztürk. “Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 30, sy 1, Nisan 2026, ss. 106-13, doi:10.19113/sdufenbed.1789977.
Vancouver 1.Samed Gümüş, Yavuz Öztürk. Effect of Magnet Spacing on Magnetic Field Linearity in Selected Commercial Rectangular Magnets. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Nisan 2026;30(1):106-13. doi:10.19113/sdufenbed.1789977

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