DOI QR코드

DOI QR Code

Theoretical Analysis for the Measurement of Viscosity and Shear Modulus of Viscoelastic Fluids by Using a Quartz Crystal Oscillator

수정진동자를 사용한 점탄성 유체의 점성계수와 전단 탄성계수 측정에 관한 이론해석

  • Published : 2008.07.01

Abstract

Quartz crystal oscillator is frequently used in measuring a very small amount of mass attached to or adsorbed on the surface of an electrode on the quartz plate. The physical principle is that the resonance frequency of the shear vibration of the quartz caused by an applied electric field is a function of the mass. Recently, effort has been tried to measure physical properties of viscoelastic fluids, such as viscosity and shear modulus. This paper presents useful formula that can be used in estimating the properties of viscoelastic fluids. Important finding in this analysis is that the formula can produce multiple values for the physical properties of the viscoelastic materials.

Keywords

References

  1. Uerbrey, G., 1959, “Verwendung Von Schwingquar tzen Zur Wagung Dunner Schichten Und Zur Mikrowagung,” Z. Phys., Vol. 155, pp. 206-222 https://doi.org/10.1007/BF01337937
  2. Kanazawa, K. K. and Gordon II, J. G., 1985, “Fre quency of a Quartz Microbalance in Contact with Liquid,” Anal. Chem., Vol. 57, pp. 1770-1771 https://doi.org/10.1021/ac00285a062
  3. Martin, S. J., Granstaff, V. E. and Frye, G.. C., 1991, “Characterization of a Quartz Crystal Microbalance with Simultaneous Mass and Liquid Loading,” Anal. Chem., Vol. 63, pp. 2273-2281 https://doi.org/10.1021/ac00020a015
  4. Reed, C. E., Kanazawa, K. K. and Kaufman, J. H., 1990, “Physical Description of a Viscoelastically Loaded AT-Cut Quartz Resonator,” J. Appl. Phys., Vol. 68, pp. 1993-2001 https://doi.org/10.1063/1.346548
  5. Ward, M. D. and Delawski, E. J., 1991, “Radial Mass Sensitivity of the Quartz Crystal Microbalance in Liquid Media,” Anal. Chem., Vol. 63, pp. 886-890 https://doi.org/10.1021/ac00009a009
  6. Hillier, A. C. and Ward, M. D., 1992, “Scanning Electrochemical Mass Sensitivity Mapping of the Quartz Crystal Microbalance in Liquid Media,” Anal. Chem., Vol. 64, pp. 2539-2554 https://doi.org/10.1021/ac00045a014
  7. Josse, F., Lee, Y., Martin S. J. and Cernosek, R. W., 1998, “Analysis of the Radial Dependence of Mass Sensitivity for Modified-Electrode Quartz Crystal Resonators,” Anal. Chem., Vol. 70, pp. 237-247 https://doi.org/10.1021/ac9706032
  8. Efimov, I., Hillman, A. R. and Schultze, J. W., 2006, “Sensitivity Variation of the Electrochemical Quartz Crystal Microbalance in Response to Energy Trapping,” Electrochimica Acta, Vol. 51, pp. 2572-2577 https://doi.org/10.1016/j.electacta.2005.11.028
  9. Gwenin, C. D., Jones, J. P., Kalaji, M., Lewis, T. J., Llewellyn, J. P. and Williams, P. A., 2007, “Viscoelastic Change Following Adsorption and Subsequent Molecular Reorganisation of a Nitroreductase Enzyme on a Gold Surface: A QCM Study,” Sensors and Actuators B, Vol. 126, pp. 449-507
  10. Li, F., Wang, J. H. C. and Wang, Q.-M., 2007, “Thickness Shear Mode Acoustic Wave Sensors for Characterizing the Viscoelastic Properties of Cell Monolayer,” Sensors and Actuators B (in press)
  11. Nwankwo E. and Durning, C. J., 1999, “Fluid Property Investigation by Impedance Characterization of Quartz Crystal Resonators. Part II: Parasitic Effects, Viscoelastic Fluids,” Sensors and Actuators, Vol. 72, pp. 195-202 https://doi.org/10.1016/S0924-4247(98)00217-9
  12. Kim, J.-M., Chang, S.-M. and Muramatsu, H., 1999, “Monitoring Changes in the Viscoelastic Properties of Thin Polymer Films by the Quartz Crystal Resonator,” Polymer, Vol. 40, pp. 3291-3299 https://doi.org/10.1016/S0032-3861(98)00557-6
  13. Kunze, M., Shull, K. R. and Johannsmann, D., 2006, “Quartz Crystal Microbalance Studies of the Contact Between Soft, Viscoelastic Solids,” Langmuir, Vol. 22, pp. 169-173 https://doi.org/10.1021/la051757c
  14. Zelenka, J., 1986, “Piezoelectric Resonators and Their Applications,” Elsevier
  15. Buttry, D. A. and Ward, M. D., 1992, “Measurement of Interfacial Processes at Electrode Surfaces with the Electrochemical Quartz Crystal Microbalance,” Chem. Rev., Vol. 92, pp. 1355-1379 https://doi.org/10.1021/cr00014a006
  16. Lin, Z., Hill, R. M., Davis, H. T. and Ward, M. D., 1994, “Determination of Wetting Velocities of Surfactant Superstreaders with the Quartz Crystal Microbalance,” Langmuir, Vol. 10, pp. 4060-4068 https://doi.org/10.1021/la00023a026
  17. Lin, Z. and Ward, M. D., 1996, “Determination of Contact Angles and Surface Tensions with the Quartz Crystal Microbalance,” Anal. Chem., Vol. 68, No. 8, pp. 1285-1291 https://doi.org/10.1021/ac951131z