Summary

Near-Infrared Temperature Measurement Technique for Water Surrounding an Induction-heated Small Magnetic Sphere

Published: April 30, 2018
doi:

Summary

A technique utilizing wavelengths of 1150 and 1412 nm to measure the temperature of water surrounding an induction-heated small magnetic sphere is presented.

Abstract

A technique to measure the temperature of water and non-turbid aqueous media surrounding an induction-heated small magnetic sphere is presented. This technique utilizes wavelengths of 1150 and 1412 nm, at which the absorption coefficient of water is dependent on temperature. Water or a non-turbid aqueous gel containing a 2.0-mm- or 0.5-mm-diameter magnetic sphere is irradiated with 1150 nm or 1412 nm incident light, as selected using a narrow bandpass filter; additionally, two-dimensional absorbance images, which are the transverse projections of the absorption coefficient, are acquired via a near-infrared camera. When the three-dimensional distributions of temperature can be assumed to be spherically symmetric, they are estimated by applying inverse Abel transforms to the absorbance profiles. The temperatures were observed to consistently change according to time and the induction heating power.

Introduction

A technique to measure temperature near a small heat source within a medium is required in many scientific research fields and applications. For example, in the research on magnetic hyperthermia, which is a cancer therapy method using electromagnetic induction of magnetic particles, or small magnetic pieces, it is critical to accurately predict the temperature distributions generated by the magnetic particles1,2. However, although microwave3,4, ultrasound5,6,7,8, optoacoustic9, Raman10, and magnetic resonance11,12-based temperature measurement techniques have been researched and developed, such an inner temperature distribution cannot be accurately measured at present. Thus far, single-position temperatures or temperatures at a few positions have been measured via temperature sensors, which, in the case of induction heating, are non-magnetic optical fiber temperature sensors13,14. Alternatively, the surface temperatures of media have been remotely measured via infrared radiation thermometers to estimate the inner temperatures14. However, when a medium containing a small heat source is a water layer or a non-turbid aqueous medium, we have demonstrated that a near-infrared (NIR) absorption technique is useful to measure the temperatures15,16,17,18,19. This paper presents the detailed protocol of this technique and representative results.

The NIR absorption technique is based on the principle of temperature dependence of the absorption bands of water in the NIR region. As is shown in Figure 1a, the ν1 + ν2 + ν3 absorption band of water is observed in the 1100-nm to 1250-nm wavelength (λ) range and shifts to shorter wavelengths as the temperature increases19. Here, ν1 + ν2 + ν3 means that this band corresponds to the combination of the three fundamental O-H vibration modes: symmetric stretching (ν1), bending (ν2), and antisymmetric stretching (ν3)20,21. This change in the spectrum indicates that the most temperature-sensitive wavelength in the band is λ ≈ 1150 nm. Other absorption bands of water also exhibit similar behavior with respect to the temperature15,16,17,18,20,21. The ν1 + ν3 band of water observed within the range λ = 1350−1500 nm and its temperature dependence are shown in Figure 1b. In the ν1 + ν3 band of water, 1412 nm is the most temperature-sensitive wavelength. Thus, it is possible to obtain two-dimensional (2D) temperature images by using an NIR camera to capture 2D absorbance images at λ = 1150 or 1412 nm. As the absorption coefficient of water at λ = 1150 nm is smaller than that at λ = 1412 nm, the former wavelength is suitable for approximately 10-mm-thick aqueous media, while the latter is suitable for approximately 1-mm-thick ones. Recently, using λ = 1150 nm, we obtained the temperature distributions in a 10-mm-thick water layer containing an induction-heated 1-mm-diameter steel sphere19. Moreover, the temperature distributions in a 0.5-mm-thick water layer have been measured by using λ = 1412 nm15,17.

An advantage to the NIR-based temperature imaging technique is that it is simple to setup and implement because it is a transmission-absorption measurement technique and needs no fluorophore, phosphor, or other thermal probe. In addition, its temperature resolution is less than 0.2 K15,17,19. Such a good temperature resolution cannot be achieved by other transmission techniques based on interferometry, which have often been used in heat and mass transfer studies22,23,24. We note, however, that the NIR-based temperature imaging technique is not suitable in cases with considerable local temperature change, because the deflection of light caused by the large temperature gradient becomes dominant19. This matter is referred in this paper in terms of practical use.

This paper describes the experimental setup and procedure for the NIR-based temperature imaging technique for a small magnetic sphere heated via induction; additionally, it presents the results of two representative 2D absorbance images. One image is of a 2.0-mm-diameter steel sphere in a 10.0-mm-thick water layer that is captured at λ = 1150 nm. The second image is of a 0.5-mm-diameter steel sphere in a 2.0-mm-thick maltose syrup layer that is captured at λ = 1412 nm. This paper also presents the calculation method and results of the three-dimensional (3D) radial distribution of temperature by applying the inverse Abel transform (IAT) to the 2D absorbance images. The IAT is valid when a 3D temperature distribution is assumed to be spherically symmetric as in the case of a heated sphere (Figure 2)19. For the IAT calculation, a multi-Gaussian function fitting method is employed here, because the IATs of Gaussian functions can be obtained analytically25,26,27,28,29 and fit well to monotonically decreasing data; this includes experiments employing thermal conduction from a single heat source.

Protocol

1. Experimental Setup and Procedures Prepare an optical rail to mount a sample and optics for NIR imaging as follows. Sample preparation. Note: When using water or aqueous liquid, do Step 1.1.1. When using an aqueous gel with high viscosity, do Step 1.1.2. Steel sphere setting in water. Fix a 2.0-mm-diameter steel sphere to the end of a thin plastic string using a small amount of glue. Hang the steel sphere at the center…

Representative Results

Images of ΔAi(x, z) at λ = 1150 nm for a 2.0-mm-diameter steel sphere in water and at λ = 1412 nm for a 0.5-mm-diameter steel sphere in maltose syrup are presented in Figure 5a and Figure 6a, respectively. In both cases, the sphere was located 12 mm below the bottom of the coil along its central axis. Figu…

Discussion

The technique presented in this paper is a novel one using the temperature dependence of NIR absorption of water and presents no significant difficulty in setting up the necessary equipment and implementation. The incident light can be easily produced by using a halogen lamp and an NBPF. However, lasers cannot be used, because coherent interference patterns would appear on the images. Common optical lenses and glass cells for visible-light use can be used, as they transmit an adequate amount of light at λ =…

Disclosures

The authors have nothing to disclose.

Acknowledgements

The authors thank Mr. Kenta Yamada, Mr. Ryota Fujioka, and Mr. Mizuki Kyoda for their support on the experiments and data analyses. This work was supported by JSPS KAKENHI Grant Number 25630069, the Suzuki Foundation, and the Precise Measurement Technology Promotion Foundation, Japan.

Materials

Induction heating system CEIA, Italy SPW900/56 780 kHz, 5.6 kW (max).
Coil SA-Japan custom Water-cooled copper tube; two-turn; outer dia. 28 mm.
Water chiller Matsumoto Kikai, Japan MP-401CT
Halogen lamp Hayashi Watch-Works, Japan LA-150UE-A
Narrow bandpass filter for λ = 1150 nm Andover 115FS10-25 Full width at half-maximum (FWHM): 10 nm.
Narrow bandpass filter for λ = 1412 nm Andover semi-custom Full width at half-maximum (FWHM): 10 nm.
Bandpass filter for λ = 850−1300 nm Spectrogon SP-1300
Bandpass filter for λ = 1100−2000 nm Spectrogon SP-2000
NIR camera FLIR Systems Alpha NIR InGaAs
Image acquisition software FLIR Systems IRvista
Image processing software NIH ImageJ ver. 1.51r
Image processing software MathWorks Matlab ver. 2016a
Telecentric lens Edmond Optics 55350-L X1
Steel sphere (0.5 mm dia.) Kobe Steel, Japan Fe-1.5Cr-1.0C-0.4Mn (wt %)
Steel sphere (2.0 mm dia.) Kobe Steel, Japan Fe-1.5Cr-1.0C-0.4Mn (wt %)
Maltose syrup as aqueous gel Sonton, Japan Mizuame Food product

References

  1. Moros, E. G. . Physics of Thermal Therapy. , (2012).
  2. Périgo, E. G., Hemery, G., Sandre, O., Ortega, D., Garaio, E., Plazaola, F., Teran, F. J. Fundamentals and advances in magnetic hyperthermia. Appl Phys Rev. 2, 041302 (2015).
  3. Bardati, F., Marrocco, G., Tognolatti, P. Time-dependent microwave radiometry for the measurement of temperature in medical applications. IEEE Trans Microwave Theo Tech. 52, 1917-1924 (2004).
  4. Levick, A., Land, D., Hand, J. Validation of microwave radiometry for measuring the internal temperature profile of human tissue. Meas Sci Technol. 22, 065801 (2011).
  5. Daniels, M. J., Varghese, T., Madsen, E. L., Zagzebski, J. A. Non-invasive ultrasound-based temperature imaging for monitoring radiofrequency heating-phantom results. Phys Med Biol. 52, 4827 (2007).
  6. Daniels, M. J., Varghese, T. Dynamic frame selection for in vivo ultrasound temperature estimation during radiofrequency ablation. Phys Med Biol. 55, 4735 (2010).
  7. Seo, C. H., Shi, Y., Huang, S. -. W., Kim, K., O’Donnell, M. Thermal strain imaging: A review. Interface Focus. 1, 649-664 (2011).
  8. Bayat, M., Ballard, J. R., Ebbini, E. S. Ultrasound thermography: A new temperature reconstruction model and in vivo results. AIP Conf Proc. 1821, 060004 (2017).
  9. Petrova, E., Liopo, A., Nadvoretskiy, V., Ermilov, S. Imaging technique for real-time temperature monitoring during cryotherapy of lesions. J Biomed Opt. 21, 116007 (2016).
  10. Gardner, B., Matousek, P., Stone, N. Temperature spatially offset Raman spectroscopy (T-SORS): Subsurface chemically specific measurement of temperature in turbid media using anti-Stokes spatially offset Raman spectroscopy. Anal Chem. 88, 832-837 (2016).
  11. Yoshioka, Y., Oikawa, H., Ehara, S., Inoue, T., Ogawa, A., Kanbara, Y., Kubokawa, M. Noninvasive measurement of temperature and fractional dissociation of imidazole in human lower leg muscles using 1H-nuclear magnetic resonance spectroscopy. J Appl Physiol. 98, 282-287 (2004).
  12. Galiana, G., Branca, R. T., Jenista, E. R., Warren, W. S. Accurate temperature imaging based on intermolecular coherences in magnetic resonance. Science. 322, 421-424 (2008).
  13. Rapoport, E., Pleshivtseva, Y. . Optimal Control of Induction Heating Processes. , (2006).
  14. Lucía, O., Maussion, P., Dede, E. J., Burdío, J. M. Induction heating technology and its applications: Past developments, current technology, and future challenges. IEEE Trans Ind Electron. 61, 2509-2520 (2014).
  15. Kakuta, N., Kondo, K., Ozaki, A., Arimoto, H., Yamada, Y. Temperature imaging of sub-millimeter-thick water using a near-infrared camera. Int J Heat Mass Trans. 52, 4221-4228 (2009).
  16. Kakuta, N., Fukuhara, Y., Kondo, K., Arimoto, H., Yamada, Y. Temperature imaging of water in a microchannel using thermal sensitivity of near-infrared absorption. Lab Chip. 11, 3479-3486 (2011).
  17. Kakuta, N., Kondo, K., Arimoto, H., Yamada, Y. Reconstruction of cross-sectional temperature distributions of water around a thin heating wire by inverse Abel transform of near-infrared absorption images. Int J Heat Mass Trans. 77, 852-859 (2014).
  18. Kakuta, N., Yamashita, H., Kawashima, D., Kondo, K., Arimoto, H., Yamada, Y. Simultaneous imaging of temperature and concentration of ethanol-water mixtures in microchannel using near-infrared dual-wavelength absorption technique. Meas Sci Technol. 27, 115401 (2016).
  19. Kakuta, N., Nishijima, K., Kondo, K., Yamada, Y. Near-infrared measurement of water temperature near a 1-mm-diameter magnetic sphere and its heat generation rate under induction heating. J Appl Phys. 122, 044901 (2017).
  20. Libnau, F. O., Kvalheim, O. M., Christy, A. A., Toft, J. Spectra of water in the near- and mid-infrared region. Vib Spectrosc. 7, 243-254 (1994).
  21. Siesler, H. W., Ozaki, Y., Kawata, S., Heise, H. M. . Near-Infared Spectroscopy. , (2002).
  22. Shakher, C., Nirala, A. K. A review on refractive index and temperature profile measurements using laser-based interferometric techniques. Opt Laser Eng. 31, 455-491 (1999).
  23. Assebana, A., Lallemanda, M., Saulniera, J. -. B., Fominb, N., Lavinskaja, E., Merzkirchc, W., Vitkinc, D. Digital speckle photography and speckle tomography in heat transfer studies. Opt Laser Technol. 32, 583-592 (2000).
  24. Ambrosini, D., Paoletti, D., Spagnolo, S. G. Study of free-convective onset on a horizontal wire using speckle pattern interferometry. Int J Heat Mass Trans. 46, 4145-4155 (2003).
  25. Bracewell, R. N. . The Fourier Transform and Its Applications. , (2000).
  26. Yoder, L. M., Barker, J. R., Lorenz, K. T., Chandler, D. W. Ion imaging the recoil energy distribution following vibrational predissociation of triplet state pyrazine-Ar van der Waals clusters. Chem Phys Lett. 302, 602-608 (1999).
  27. De Colle, F., de Burgo, C., Raga, A. C. Diagnostics of inhomogeneous stellar jets: convolution effects and data reconstruction. Astron Astrophys. 485, 765-772 (2008).
  28. Green, K. M., Borrás, M. C., Woskov, P. P., Flores, G. J., Hadidi, K., Thomas, P. Electronic excitation temperature profiles in an air microwave plasma torch. IEEE Trans Plasma Sci. 29, 399-406 (2001).
  29. Bendinelli, O. Abel integral equation inversion and deconvolution by multi-Gaussian approximation. Astrophys J. 366, 599-604 (1991).
  30. Dorband, B., Muller, H., Gross, H., Gross, H. Vol. 5 Metrology of Optical Components and Systems. Handbook of Optical System. , (2012).
  31. Sheikholeslami, M., Rokni, H. B. Simulation of nanofluid heat transfer in presence of magnetic field: A review. Int J Heat Mass Trans. 115, 1203-1233 (2017).
  32. Häfeli, U., Schütt, W., Teller, J., Zborowski, M. . Scientific and Clinical Applications of Magnetic Carriers. , (2013).

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Cite This Article
Kakuta, N., Nishijima, K., Han, V. C., Arakawa, Y., Kondo, K., Yamada, Y. Near-Infrared Temperature Measurement Technique for Water Surrounding an Induction-heated Small Magnetic Sphere. J. Vis. Exp. (134), e57407, doi:10.3791/57407 (2018).

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