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Experimental investigations of specific resistance of liquids flowing in the capillary

Electrodeless investigation of conductivity of liquid in capillaries with due regard for skin effect

Oksana V. Gutsul, V. Z. Slobodyan


Processes occurring in the setup for contactless measurement of conductivity of liquids have been considered. The experimental study of the relationship of the oscillating circuit Q-factor as a function of the specific resistance of liquid was performed using the electrode and electrodeless methods of measurements. Frequency relationships of additional attenuation d in the oscillating circuit caused by the presence of liquid with specific resistance ρ in inductively coupled capillary solenoid were investigated in the frequency range 2.2–8.8 MHz. It was shown that the impact of skin effect was significant for the considered values of ρ and the additional attenuation was described by formula d = –a0(f) + a1(f–1/2, where function a1(f) is proportional to f3/2, while function a0(f) is proportional to f2. Owing to different frequency dependences of functions a1(f) and a0(f), the frequency relationship of the relative depth of skin layer in liquid electrolyte was obtained in explicit form: h/rcp = A(f1/2 = af1/2ρ1/2, where a is the constant that does not depend on frequency and specific resistance of liquid.


frequency dependence; skin effect; electrodeless method; Q-factor; specific conductance; resonance of frequencies; oscillating circuit; liquid

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JUNGWIRTH, P.; FINLAYSON-PITTS, B.J.; TOBIAS, D.J. “Introduction: Structure and chemistry at aqueous interfaces,” Chemical Rev., v.106, n.4, p.1137, 2006. DOI:

GOLNABI, H.; MATLOOB, M.R.; BAHAR, M.; SHARIFIAN, M. “Investigation of electrical conductivity of different water liquids and electrolyte solutions,” Iranian Phys. J., v.3, n.2, p.24, 2009. URI:

ZHANG, S.; SUN, N.; HE, X.; LU, X.; ZHANG, Z. “Physical properties of ionic liquids: database and evaluation,” J. Phys. Chem. Ref. Data, v.35, n.4, p.1475, 2006. DOI:

POPULYAKH, K.S. Electronic Resonant Measuring Devices [in Russian]. Kharkov: KhGU, 1961.

KARANDEEV, K.B.; KRASILENKO, V.A.; PANKOV, B.N.; SOBOLEV, V.S.; SOBOLEVSKII, K.M. “Measurement methods of passive electrical parameters,” Avtometriya, n.5, p.86, 1967. URI:

OKHOTIN, A.S.; PUSHKARSKII, A.S.; BOROVIKOVA, R.P.; SIMONOV, V.A. Methods for Measuring the Characteristics of Thermoelectric Materials and Transduceres [in Russian]. Moscow: Nauka, 1974.

MILLER, G.L.; ROBINSON, D.A.H.; WILEY, J.D. “Contactless measurement of semiconductor conductivity by radio frequency-free-carrier power absorption,” Rev. Sci. Instrum., v.47, n.7, p.799, 1976. DOI:

KALININ, V.V.; KAZAK, V.V. “Technique and device for measuring the resistance of aqueous electrolytes,” Industrial Laboratory. Diagnostics of Materials, v.8, n.74, p.46, 2008.

GUTSUL, O.V.; SHAPLAVSKIY, N.V.; SLOBODIAN, V.Z. “Electromagnetic induction in blood biometrics,” Applied Radio Electronics, v.11, n.3, p.373, 2012. URI:

GUTSUL, O.V.; SHAPLAVSKY, N.V.; BUZHDYGAN, V.V.; SLOBODIAN, V.Z. “A charge of the erythrocyte test by automated method,” J. Biomedical Sci. Eng., v.5, n.4, p.186, 2012. DOI:

SHAPLAVSKYI, M.V.; PISHAK, V.P.; KOLOMOIETS, M.Y.; SLOBODIAN, O.V.; HRYHORYSHYN, P.M. “Electrode-less method for automated measurement of specific resistance of electrolytes and biological liquids,” UA Patent 36976, IPC G 01 N, 27/00, Byull. Izobr., n.21, 2008. URI:

GUTSUL, O.V.; SLOBODIAN, V.Z. “Special characteristics of parametric investigations of liquids using the electrode and electrodeless techniques,” Visnyk Zaporizhzhya National University. Series: Physico- Mathematical Sciences, n.2, p.21, 2013.

BATYGIN, Iu.V.; GNATOV, A.V.; BARBASHOVA, M.V.; GAVRILOVA, T.V.; STEPANOV, A.A. “Contactless technique for measuring the conductivity of sheet metals,” Electrical Eng. Electromechanics, n.1, p.69, 2012. URI:

ASCHEULOV, A.A.; BUCHKOVSKII, I.A.; ROMANYUK, I.S. “Device for contactless measurement of electroconductivity of semiconductors,” TKEA, n.2, p.55, 2007. URI:

LATYSHEV, L.N.; IVANOV, V.V. “Non-contact conductometer for the well fluid conductivity control,” Neftegazovoe Delo, n.2, p.1. 2013. URI:

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