Review on viscosity measurement: devices, methods and models
- Published: 05 May 2023
- Volume 148 , pages 6527–6543, ( 2023 )
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- Atul Bhattad ORCID: orcid.org/0000-0002-6937-1972 1
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Viscosity is a crucial rheological property essential in predicting the behaviour of any fluid. It is vital to expect the fluid flow trend in various processes. This paper surveys multiple methods to find the viscosity of liquefied metals and different fluids. These methods include capillary, oscillating, rotational, draining vessels, etc. Several models are surveyed that can estimate the viscosity of fluids. The temperature dependency of viscosity is also provided. The paper includes various devices based on different working principles and correlations proposed by multiple authors for determining the viscosity of fluids. The article helps the researchers select the appropriate viscometer, method, and correlation to estimate their research's fluid viscosity.
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Viscosity of Liquid Metal Flow
Effect of non-uniform temperature field in viscosity measurement.
Selection of Materials for Novel Reference Materials of Fluid Viscosity Certified in the Interval of Permissible Temperature Values from Minus 40 °C to Minus 5 °C
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Abbreviations
Ethylene glycol
Graphene oxide
Multi-walled carbon nanotube
Hybrid nanofluid/nanofluid
Specific gravity
Area [m 2 ]
Activation energy [J]
Liquid height [m]
Hydrostatic head [m]
Moment of inertia [m 4 ]
Marking points [dimensionless]
Gas constant [J mole − 1 K − 1 ]
Oscillation period [s]
Temperature [K]
Velocity [m s − 1 ]
Molar volume [m 3 ]
Distance [m]
Logarithmic decrement [m]
Shear stress [N m − 2 ]
Concentration [%]
Viscosity [Pa s]
Density [kg m − 3 ]
Coefficients
White FM. Fluid Mechanics. 8th ed. New York, USA: McGraw-Hill; 2015.
Google Scholar
Meek G, Williams R, Thornton D, Knapp P, Cosser S. F2E—ultra high-pressure distributed pump common rail system (No. 2014-01-1440). SAE Technical Paper, 2014.
Shin S, Keum D. Viscosity measurement of non-Newtonian fluid foods with a mass-detecting capillary viscometer. J Food Eng. 2003;58(1):5–10.
Zhang Y, He M, Xue R, Wang X, Zhong Q, Zhang X. A new method for liquid viscosity measurements: inclined-tube viscometry. Int J Thermophys. 2008;29(2):483.
CAS Google Scholar
Camas-Anzueto J, Gómez-Pérez J, Meza-Gordillo R, Anzueto-Sánchez G, Pérez-Patricio M, López-Estrada F, Abud-Archila M, Ríos-Rojas C. Measurement of the viscosity of biodiesel by using an optical viscometer. Flow Meas Instrum. 2017;54:82–7.
Zerkle D, Núñez M, Zucker J. Molten composition B viscosity at elevated temperature. J Energ Mater. 2016;34(4):368–83.
Mustafaev M. The theory of falling-hollow-cylinder viscometer. High Temp. 2006;44(4):633–6.
Rowane A, Mallepally R, Bamgbade B, Newkirk M, Baled H, Burgess W, Gamwo I, Tapriyal D, Enick R, McHugh M. Hightemperature, high-pressure viscosities and densities of toluene. J Chem Therm. 2017;115:34–46.
Lee I, Park K, Lee J. Note: precision viscosity measurement using suspended microchannel resonators. Rev Sci Inst. 2012;83(11):116106.
Pimentel-Rodas A, Galicia-Luna L, Castro-Arellano J. Capillary viscometer and vibrating tube densimeter for simultaneous measurements up to 70 MPa and 423 K. J Chem Eng Data. 2015;61(1):45–55.
Madan M, Mazumdar D. Computational assessment of viscosity measurement in rotating viscometers through detailed numerical simulation. Met Mater Trans B. 2004;35(4):805–9.
Schumacher K, White J, Downey J. Viscosities in the calcium-silicate slag system in the range of 1798 K to 1973 K (1525 to 1700 °C). Met Mater Trans B. 2015;46(1):119–24.
Etchart I, Sullivan M, Jundt J, Harrison C, Goodwin A, Hsu K. A comparison of both steady-state resonance and transient decay methods of determining viscosity with a vibrating wire viscometer: results for certified reference fluids for viscosity that are stagnant with viscosity between (2.5 and 66) mPa s and flowing at volumetric flow rates below 50 cm 3 s −1 and viscosities less than 34 mPa s. J Chem Eng Data. 2008;53(8):1691–7.
Glowacz A. Fault diagnosis of single-phase induction motor based on acoustic signals. Mech Syst Signal Proc. 2019;117:65–80.
Glowacz A, Witold G, Zygfryd G, Jaroslaw K. Early fault diagnosis of bearing and stator faults of the single-phase induction motor using acoustic signals. Measurement. 2018;113:1–9.
Mia M, Gupta K, Singh G, Królczyk G, Pimenov Y. An approach to cleaner production for machining hardened steel using different cooling-lubrication conditions. J Clean Prod. 2018;187:1069–81.
Shariq M, Madhulika S, Rupam T, Somnath C, Pedro V, Nenad G, Grzegorz K. Optimisation and characterisation of friction surfaced coatings of ferrous alloys. Mater Test. 2018;60(7–8):707–18.
Ma J, Huang X, Bae H, Zheng Y, Liu C, Zhao M, Yu M. Liquid viscosity measurement using a vibrating flexure hinged structure and a fibre-optic sensor. IEEE Sens J. 2016;16(13):5249–58.
Lv P, Yang Z, Hua Z, Li M, Lin M, Dong Z. Measurement of viscosity of liquid in micro-crevice. Flow Meas Instrum. 2015;46:72–9.
Zambrano J, Sobrino M, Martín M, Villamañán M, Chamorro C, Segovia J. Contributing to accurate high-pressure viscosity measurements: vibrating wire viscometer and falling body viscometer techniques. J Chem Therm. 2016;96:104–16.
Augustine EO, Stephen OE, Ityokumbul IS. Design fabrication and testing of a viscometer for testing viscosity of liquids. Int J Eng Res Technol. 2019;8(5):659–63.
Brooks RF, Dinsdale AT, Quested PN. The measurement of viscosity of alloys—a review of methods, data and models. Meas Sci Technol. 2005;16:354–62.
Cheng J, Grobner J, Hort N, Kainer KU, Schmid-Fetzer R. Measurement and calculation of the viscosity of metals—a review of the current status and developing trends. Meas Sci Technol. 2014;25:062001. https://doi.org/10.1088/0957-0233/25/6/062001 .
Article CAS Google Scholar
Whorlow RW. Rheological techniques. 2nd ed. New York: Ellis Horwood; 1992.
Walters K. Rheometry. London: Chapman and Hall; 1975.
Dealy JM. Rheometers for molten plastics. New York: Van Nostrand Reinhold; 1982.
Van Wazer JR, Lyons JW, Kim KY, Colwell RE. Viscosity and flow measurement. New York: Interscience; 1963.
Macosko CW. Rheology: principles, measurements, and applications. New York: VCH; 1994.
Wakeham WA, Nagashima A, Sengers JV. Measurement of the transport properties of fluids. Oxford, UK: Blackwell Scientific; 1991.
Clift R, Grace JR, Weber ME. Bubbles, drops, and particles. San Diego: Academic Press; 1978.
Coutanceau M, Thizon P. Wall effect on the bubble behavior in highly viscous liquids. J Fluid Mech. 1981;107:339–73.
McSkimin HJ. Ultrasonic methods for measuring the mechanical properties of liquids and solids. In: Mason WP, editor. Physical acoustics. New York: Academic Press; 1964. p. 271–334.
Nasch P, Manghnani MH, Secco RA. A modified ultrasonic interferometer for sound velocity measurements in molten metals and alloys. Rev Sci Instrum. 1994;65:682–8.
Herty CH. Neerungen im Siemens-Martin Betrieb. Stahl u Eisen. 1934;54:609.
Herty CH. Die physikalische chemie der Stahlerzeugung. Stahl u Eisen. 1936;56:165.
Krabiell HJ. Entkohlungsgeschwindigkeit und Sauerstoffgehalt des Stahles im Basichen Siemens-Martin-Ofen. Stahl u Eisen. 1944;64:399.
Mills KC, Halali M, Lorz HP, Kinder A, Pomfret R, Walker B. A simple test for the measurements of slag viscosity Molten Slags. Fluxes Salts ’97 Conference of Sydney, Australia, 5–8 Jan (1997), Iron and Steel Society p. 535.
Roach SJ, Henein H, Owens DC. A new technique to measure dynamically the surface tension, viscosity and density of molten metals Light Metals. In: Aujier JL Warrendale: TMS; 2001. pp. 1285–91.
Bhattad A, Sarkar J, Ghosh P. Use of hybrid nanofluids in plate heat exchanger for low temperature applications. PhD Thesis, IIT BHU Varanasi, 2019.
Sarala PL, Rao BN. Thermal properties of Al 2 O 3 -water nanofluids to examine heat transfer enhancement in heat exchangers. Int J Control Theory Appl. 2017;10(11):87–105.
Anjorin SA, Mebude SO. Design, construction and testing of a viscometer. Int J Eng Trends Technol. 2019;67(6):111–20.
Bie Y, Guo X, Song P, Yang J, Li Z. A novel design of flow structure model for online viscosity measurement. Insight. 2019;61(1):9–14.
Leblanc GE, Secco RA, Kostic M. Viscosity measurement. CRC Press; 2000.
Da Andrade EN. The theory of the viscosity of liquids. Lond Edinb Dubl Phil Mag J Sci. 1934;17:497.
Hildebrand JH. Viscosity and diffusivity: a predictive treatment. New York: Wiley; 1977.
Mehrota AK. A generalised viscosity equation for pure heavy hydrocarbons. Ind Eng Chem Res. 1991;30:1367.
Walther C. The evaluation of viscosity data. Erdol Teer. 1931;7:382.
Chhabra RP, Tripathi A. A correlation for the viscosity of liquid metals high temp. High Press. 1993;25:713.
Moelwyn-Hughes EA. Physical chemistry. 2nd ed. Oxford: Pergamon; 1961.
Hirai M. Estimation of viscosities of liquid alloys. ISIJ. 2002;33:281–5.
Mills KC. Recommended values of thermophysical properties for selected commercial alloys. Cambridge: Woodhead Publishing Ltd; 2002.
Sichen Du, Bygen J, Seetharaman S. A model for estimation of viscosities of complex metallic and ionic melts. Metall Trans B. 1994;25:519.
Kucharski M. The viscosity of multicomponent systems. Z Met. 1986;77:393–6.
Kucharski M. A model for predicting the viscosity of multicomponent solutions. Z Met. 1988;79:264–6.
Roscoe R. Viscosity determination by the oscillating vessel method: I theoretical considerations. Proc Phys Soc. 1958;72:576–84.
Brockner W, Torklep K, Oye HA. Viscosity of aluminium chloride and acidic sodium chloroaluminate melts. Ber Bursenges Phys Chem. 1979;83:1–11.
Babar H, Sajid MU, Ali HM. Viscosity of hybrid nanofluids a critical review. Therm Sci. 2019;23(3B):1713–54.
Bashirnezhad K, Bazri S, Safaei MR, Goodarzi M, Dahari M, Mahian O, Dalkılıça AS, Wongwises S. Viscosity of nanofluids: a review of recent experimental studies. Int Commun Heat Mass Transf. 2016. https://doi.org/10.1016/j.icheatmasstransfer.2016.02.005 .
Article Google Scholar
Nguyen CT, Desgranges F, Galanis N, Roy G, Mare T, Boucher S, Mintsa HA. Viscosity data for Al 2 O 3 -water nanofluid-hysteresis: is heat transfer enhancement using nanofluids reliable? Int J Therm Sci. 2008;47(2):103–11.
Yu W, Xie H, Chen L, Li Y. Investigation of thermal conductivity and viscosity of ethylene glycol based ZnO nanofluid. Thermochim Acta. 2009;491(1–2):92–6.
Ho CJ, Huang JB, Tsai PS, Yang YM. Preparation and properties of hybrid water-based suspension of Al 2 O 3 nanoparticles and MEPCM particles as functional forced convection fluid. Int Commun Heat Mass Transf. 2010;37:490–4.
Baghbanzadeh M, et al. Investigating the rheological properties of nanofluids of water/hybrid nanostructure of spherical silica/MWCNT. Thermochim Acta. 2014;578:53–8.
Abbasi S, Zebarjad SM, Baghban SHN, Youssefi A, Ekrami-Kakhki MS. Experimental investigation of the rheological behavior and viscosity of decorated multi-walled carbon nanotubes with TiO 2 nanoparticles/water nanofluids. J Therm Anal Calorim. 2016;123(1):81–9.
Sundar LS, Singh MK, Sousa ACM. Enhanced heat transfer and friction factor of MWCNT-Fe 3 O 4 /water hybrid nanofluids. Int Commun Heat Mass Transf. 2014;52:73–83.
Esfe MH, Arani AAA, Rezaie M, Yan WM, Karimipour A. Experimental determination of thermal conductivity and dynamic viscosity of Ag-MgO/water hybrid nanofluid. Int Commun Heat Mass Transf. 2015;66:189–95.
Dardan E, Afrand M, Meghdadi-Isfahani AH. Effect of suspending hybrid nano-additives on rheological behavior of engine oil and pumping power. Appl Therm Eng. 2016;109:524–34.
Soltani O, Akbari M. Effects of temperature and particles concentration on the dynamic viscosity of MgO-MWCNT/ethylene glycol hybrid nanofluid: Experimental study. Phys E Low-Dimens Syst Nanostruct. 2016;84:564–70.
Asadi M, Asadi A. Dynamic viscosity of MWCNT/ZnO-engine oil hybrid nanofluid: an experimental investigation and new correlation in different temperatures and solid concentrations. Int Commun Heat Mass Transf. 2016;76:41–5.
Suresh S, Venkitaraj KP, Selvakumar P, Chandrasekar M. Synthesis of Al 2 O 3 -Cu/water hybrid nanofluids using two step method and its thermo physical properties. Colloids Surf A Physicochem Eng Asp. 2011;388(1–3):41–8.
Botha SS, Ndungu P, Bladergroen BJ. Physicochemical properties of oil-based nanofluids containing hybrid structures of silver nanoparticles supported on silica. Ind Eng Chem Res. 2011;50(6):3071–7.
Yarmand H, et al. Graphene nanoplatelets-silver hybrid nanofluids for enhanced heat transfer. Energy Convers Manag. 2015;100:419–28.
Sundar LS, Ramana EV, Graça MPF, Singh MK, Sousa ACM. Nanodiamond-Fe 3 O 4 nanofluids: preparation and measurement of viscosity, electrical and thermal conductivities. Int Commun Heat Mass Transf. 2016;73:62–74.
Esfe MH, Afrand M, Rostamian SH, Toghraie D. Examination of rheological behavior of MWCNTs/ZnO-SAE40 hybrid nano-lubricants under various temperatures and solid volume fractions. Exp Therm Fluid Sci. 2017;80:384–90.
Esfe MH, Afrand M, Yan WM, Yarmand H, Toghraie D, Dahari M. Effects of temperature and concentration on rheological behavior of MWCNTs/SiO 2 (20–80)-SAE40 hybrid nano-lubricant. Int Commun Heat Mass Transf. 2016;76:133–8.
Sheikholeslami M, Shamlooei M. Magnetic source influence on nanofluid flow in porous medium considering shape factor effect. Phys Lett A. 2017;381:3071–8.
Afrand M, Najafabadi KN, Akbari M. Effects of temperature and solid volume fraction on viscosity of SiO 2 -MWCNTs/SAE40 hybrid nanofluid as a coolant and lubricant in heat engines. Appl Therm Eng. 2016;102:45–54.
Asadi A, Asadi M, Rezaei M, Siahmargoi M, Asadi F. The effect of temperature and solid concentration on dynamic viscosity of MWCNT/MgO (20–80)–SAE50 hybrid nano-lubricant and proposing a new correlation: An experimental study. Int Commun Heat Mass Transf. 2016;78:48–53.
Shahsavar A, et al. Effect of temperature and concentration on thermal conductivity and viscosity of ferrofluid loaded with carbon nanotubes. Heat Mass Transf. 2016;52(10):2293–301.
Sundar LS, et al. Thermal conductivity and viscosity of hybrid nanfluids prepared with magnetic nanodiamond-cobalt oxide (ND-CO 3 O 4 ) nanocomposite. Case Stud Therm Eng. 2016;7:66–77.
Afrand M, et al. Effects of temperature and nanoparticles concentration on rheological behavior of Fe 3 O 4 -Ag/Eg hybrid nanofluid: an experimental study. Exp Therm Fluid Sci. 2016;77:38–44.
Yarmand H, et al. Study of synthesis, stability and thermo-physical properties of graphene nanoplatelet/platinum hybrid nanofluid. Int Commun Heat Mass Transf. 2016;77:15–21.
Kumar MS, et al. Thermal conductivity and rheological studies for Cu–Zn hybrid nanofluids with various basefluids. J Taiwan Inst Chem Eng. 2016;66:321–7.
Yarmand H, et al. Nanofluid based on activated hybrid of biomass carbon/graphene oxide: synthesis, thermo-physical and electrical properties. Int Commun Heat Mass Transf. 2016;72:10–5.
Ahammed N, et al. Entropy generation analysis of graphene–alumina hybrid nanofluid in multiport minichannel heat exchanger coupled with thermoelectric cooler. Int J Heat Mass Transf. 2016;103:1084–97.
Kumar V, et al. Effect of variable spacing on performance of plate heat exchanger using nanofluids. Energy. 2016;114:1107–19.
Syam SL, et al. Experimental investigation of the thermal transport properties of graphene oxide/CO 3 O 4 hybrid nanofluids. Int Commun Heat Mass Transf. 2017;84:1–10.
Nabil MF, et al. An experimental study on the thermal conductivity and dynamic viscosity of TiO 2 –SiO 2 nanofluids in water: ethylene glycol mixture. Int Commun Heat Mass Transf. 2017;86:181–9.
Esfe HM, Hajmohammad MH. Thermal conductivity and viscosity optimization of nanodiamond-CO 3 O 4 /Eg (40:60) aqueous nanofluid using NSGA-II coupled with RSM. J Mol Liq. 2017;238:545–52.
Mechiri SK, et al. Investigation of thermal conductivity and rheological properties of vegetable oil based hybrid nanofluids containing Cu–Zn hybrid nanoparticles. Exp Heat Transf. 2017;30(3):205–17.
Akilu S, et al. Experimental measurements of thermal conductivity and viscosity of ethylene glycolbased hybrid nanofluid with TiO 2 –CuO/C inclusions. J Mol Liq. 2017;246:396–405.
Tahat MS, Benim AC. Experimental analysis on thermophysical properties of Al 2 O 3 /CuO hybrid nano fluid with its effects on flat plate solar collector. Defect Diffus Forum. 2017;374:148–56.
Nabil MF, et al. Heat transfer and friction factor of composite TiO 2 -SiO 2 nanofluids in water-ethylene glycol (60:40) mixture. IOP Conf Ser Mater Sci Eng. 2017;257:012066.
Hussien AA, et al. Experiment on forced convective heat transfer enhancement using MWCNTs/GNPs hybrid nanofluid and mini-tube. Int J Heat Mass Transf. 2017;115:1121–31.
Asadi A, et al. Heat transfer efficiency of Al 2 O 3 -MWCNT/thermal oil hybrid nanofluid as a cooling fluid in thermal and energy management applications: an experimental and theoretical investigation. Int J Heat Mass Transf. 2018;117:474–86.
Esfe HM, et al. Experimental investigation and model development of the non-Newtonian behavior of CuO-MWCNT-10W40 hybrid nano-lubricant for lubrication purposes. J Mol Liq. 2018;249:677–87.
Ahmadi NA, et al. Measuring the viscosity of Fe 3 O 4 -MWCNTs/Eg hybrid nanofluid for evaluation of thermal efficiency: Newtonian and non-Newtonian behaviour. J Mol Liq. 2018;253:169–77.
Motahari K, et al. Experimental investigation and development of new correlation for influences of temperature and concentration on dynamic viscosity of MWCNT-SiO 2 (20–80)/20W50 hybrid nanolubricant. Chin J Chem Eng. 2018;26:137–43.
Hamid KA, et al. Experimental investigation of thermal conductivity and dynamic viscosity on nanoparticle mixture ratios of TiO 2 –SiO 2 nanofluids. Int J Heat Mass Transf. 2018;116:1143–52.
Asadi A, et al. An experimental and theoretical investigation on heat transfer capability of Mg(OH) 2 /MWCNT-engine oil hybrid nano-lubricant adopted as a coolant and lubricant fluid. Appl Therm Eng. 2018;129:577–86.
Sharma S, et al. Viscosity of hybrid nanofluids: measurement and comparison. J Mech Eng Sci. 2018;12(2):2289–4659.
Dalkilic AS, et al. Experimental investigation on the viscosity characteristics of water based SiO 2 -graphite hybrid nanofluids. Int Commun Heat Mass Transf. 2018;97:30–8.
Afshari A, et al. Experimental investigation of rheological behavior of the hybrid nanofluid of MWCNT–alumina/water (80%)–ethylene-glycol (20%): new correlation and margin of deviation. J Therm Anal Calorim. 2018;132(2):1001–15.
Ghasemi S, Karimipour A. Experimental investigation of the effects of temperature and mass fraction on the dynamic viscosity of CuO-paraffin nanofluid. Appl Therm Eng. 2018;128:189–97.
Akilu S, et al. Properties of glycerol and ethylene glycol mixture based SiO 2 -CuO/C hybrid nanofluid for enhanced solar energy transport. Sol Energy Mater Sol Cells. 2018;179:118–28.
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Bhattad, A. Review on viscosity measurement: devices, methods and models. J Therm Anal Calorim 148 , 6527–6543 (2023). https://doi.org/10.1007/s10973-023-12214-0
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Received : 17 December 2022
Accepted : 18 April 2023
Published : 05 May 2023
Issue Date : July 2023
DOI : https://doi.org/10.1007/s10973-023-12214-0
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