Abstract
Micropolar fluids as complex non-Newtonian fluids admittedly have numerous applications in various fields, especially in medicine. Blood as a micropolar fluid plays an important role in regulating the body’s system and maintaining homeostasis. Physical properties of micropolar fluids, especially their viscosity, affect their rheological behavior significantly. Therefore, measurement of viscosity of these complex fluids especially human blood seems very necessary as it is considered a key parameter in the diagnosis and treatment of several diseases. In this paper, a new comb-drive microsensor for estimation of physical properties of micropolar fluids is presented. Driving and sensing combs, a sensing plate attached to the shuttle of the resonator form the structure of the electrostatic sensor. The nonlinear dynamic behavior of the sensor due to the presence of the electrostatic force has been investigated to obtain the limitations of the linear behavior of the structure. It has been shown that calculating the resonance frequency and resonance amplitude variations of the lumped dynamic model of the sensor arising from damping and inertial effects of the fluid can lead to the determination of the physical properties of a micropolar fluid. The effects of the geometrical parameters of the sensor and the applied exciting voltage on the performance of the sensor have also been studied.
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References
Lukaszewicz G (1999) Micropolar fluids: theory and applications, chapter1. Springer, Berlin
Weng HC, Chen CK, Chang MH (2009) Stability of micropolar fluid flow between concentric rotating cylinders. J Fluid Mech 631:343–362
Ding Z, Jian Y, Wang L, Yang L (2017) Analytical in investigation of electrokinetic effects of micropolar fluids in nanofluidic channels. Phys Fluids 29:082008
Eringen AC (1993) An assessment of director and micropolar theories of liquid crystals. Int J Eng Sci 31(4):605–616
Allen SJ, Kline KA (1971) Lubrication theory for micropolar fluids. J Appl Mech Trans ASME 38:646–650
Prabhakaran Nair K, Sukumaran Nair VP, Jayadas NH (2007) Static and dynamic analysis of elastohydrodynamic elliptical journal bearing with micropolar lubricant. Tribol Int 40(2):297–305
Aurangzaib SU, Md BK, Shafie S (2016) Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet. Propuls Power Res 5(4):310–317
Hayakawa H (2000) Slow viscous flows in micropolar fluids. Phys Rev E 61(5B):5477–5492
Sui J, Zhao P, Cheng Z, Zheng L, Zhang X (2017) A novel investigation of a micropolar fluid characterized by nonlinear constitutive diffusion model in boundary layer flow and heat transfer. Phys Fluid 29(2):023105
Alberts B, Johnson A, Lewis J et al. (2002) Molecular biology of the cell, 4th edn. Garland Science, New York. Renewal by Multipotent stem cells: blood cell formation
Shram VG, Lysyannikov AV, Kovaleva MA (2016) The mechanism of lubricants protective layers formation in friction sliding. Proc Eng 150:458–463
Waqas M, Khan MI, Farooq S, Hayat T, Al-Saedi A (2019) Significance of improved Fourier–Fick laws in non-linear convective micropolar material stratified flow with variable properties. Therm Sci 23(6B):3809–3815
Hasnain J, Abbas Z (2019) Entropy generation analysis on two-phase micropolar nanofluids flow in an inclined channel with convective heat transfer. Therm Sci 23(3B):1765–1777
Kocic MM, Stamenkovic ZM, Petrovic JD, Nikodijevic MD (2018) Influence of electrical-conductivity of walls on magnetohydrodynamic flow and heat transfer of micropolar fluid. Therm Sci 22(5):S1591–S1600
Rao PS, Murmu B, Agarwal S (2019) A comparison of porous structures on the performance of slider bearing with surface roughness in micropolar fluid film lubrication. Therm Sci 23(3B):1813–1824
Gan C, Lian Z, YaoWen L, FuLong L, Dong H, Hong Z (2012) Regulating of blood viscosity in disease prevention and treatment. Chin Sci Bull 57(16):1946–1952
Ville F (2013) Lubricant viscosity. In: Wang QI, Chung YW (eds) Encyclopedia of tribology. Springer, Boston, MA
Shin S, Keum DY, Ku YH (2002) Blood viscosity measurements using pressure-scanning capillary viscometer. KSME Int J 16:1719–1724
Yusibani E, Nagahama Y, Kohno M, Takata Y, Woodfield PL et al (2011) A capillary tube viscometer designed for measurements of hydrogen gas viscosity at high pressure and high temperature. Int J Thermophys 32(6):1111–1124
Manfredi OF, Mills RS, Schirru MM, Dwyer-Joyce RS (2019) Non-invasive measurement of lubricating oil viscosity using an ultrasonic continuously repeated chirp shear wave. Ultrasonics 94:332–339
Schirru M, Li X, Cadeddu M, Dwyer-Joyce RS (2019) Development of a shear ultrasonic spectroscopy technique for the evaluation of viscoelastic fluid properties: theory and experimental validation. Ultrasonics 94:364–375
Franco EE, Buiochi F (2019) Ultrasonic measurement of viscosity: signal processing methodologies. Ultrasonics 91:213–219
Ciuti G, Ricotti L, Menciassi A, Dario P (2015) MEMS sensor technologies for human centered applications in healthcare, physical activities, safety, and environmental sensing: a review on research activities in Italy. Sensors 15(3):6441–6468
Rezazadeh G, Ghanbari M, Mirzaee I, Keivani A (2010) On the modeling of a piezoelectrically actuated microsensor for simultaneous measurement of fluids viscosity and density. Measurement 43(10):1516–1524
Rezazadeh G, Ghanbari M (2018) On the mathematical modeling of a MEMS-based sensor for simultaneous measurement of fluids viscosity and density. Sens Imaging. https://doi.org/10.1007/s11220-018-0213-z
Durdag K, Jeff A (2007) Real-time viscosity measurement for condition-based monitoring using solid-state viscosity sensor. Tribol Trans 51(3):296–302
Payam AF, Trewby W, Voitchovsky K (2017) Simultaneous viscosity and density measurement of small volumes of liquids using a vibrating microcantilever. Analyst 142(9):1492–1498
Heinisch M, Voglhuber-Brunnmaier T, Reichel EK, Dufour I, Jakoby B (2015) Electromagnetically driven torsional resonators for viscosity and mass density sensing applications. Sens Actuators A 229:182–191
Ghanbari M, Hossainpour S, Rezazadeh G (2015a) On the modeling of a piezoelectrically actuated microsensor for measurement of micro-scale fluid physical properties. Appl Phys A 121(2):651–663
Ghanbari M, Hossainpour S, Rezazadeh G (2018) Measurement of micro-scale fluid physical properties using torsional vibration of a micro shaft. Model Meas Control B 87(4):257–265
Eringen AC (1966) Theory of micropolar fluids. J Math Mech 16:1–18
Chen J, Liang C, Lee JD (2011) Theory and simulation of micropolar fluid dynamics. Proc Inst Mech Eng Part N J Nanomater Nanoeng Nanosyst 224(1–2):31–39
Shu JJ, Lee JS (2008) Fundamental solutions for micropolar fluids. J Eng Math 61:69–79
Nashat SED, AbdelRassoul R, Abd El Bary AEM (2018) Design and simulation of RF MEMS comb drive with ultra-low pull-in voltage and maximum displacement. Microsyst Technol 24:3443–3453
Ghasemi S, Afrang S, Rezazadeh G, Darbasi S, Sotoudeh B (2020) On the mechanical behavior of a wide tunable capacitive MEMS resonator for low frequency energy harvesting applications. Microsyst Technol. https://doi.org/10.1007/s00542-020-04779-9
Veijola T, Kuisma H, Lahdenperä J, Ryhänen T (1995) Equivalent-circuit model of the squeezed gas film in a silicon accelerometer. Sens Actuators A 45:239–248
Ghanbari M, Hossainpour S, Rezazadeh G (2015b) Studying thin film damping in a micro-beam resonator based on non-classical theories. Acta Mech Sin 32:369–379
Ghanbari M, Hossainpour S, Rezazadeh G (2014) Study of squeeze film damping in a micro-beam resonator based on micro-polar theory. Lat Am J Solids Struct 12:77–91
Sheikhlou M, Rezazadeh G, Shabani R (2013) Stability and torsional vibration analysis of a micro-shaft subjected to an electrostatic parametric excitation using variational iteration method. Meccanica 48:259–274
Riesch C, Keplinger F, Reichel EK, Jakoby B (2006) Characterizing resonating cantilevers for liquid property sensing. In: Sensors. IEEE, Daegu, pp 1070–1073
Ahmadi G (1976) Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. Int J Eng Sci 14:639–646
Kline KA (1977) A spin-velocity relation for unidirectional plane flows of micropolar flows. Int J Eng Sci 15:131–134
Jiang WA, Zhang G, Chen L (2015) Forced response of quadratic nonlinear oscillator: comparison of various approaches. Appl Math Mech 36(11):1403–1416
He JH, Jin X (2020) A short review on analytical methods for the capillary oscillator in a nanoscale deformable tube. Math Methods Appl Sci. https://doi.org/10.1002/mma.6321
He CH, He JH, Sedighi HM (2020) Fangzhu (方诸): an ancient Chinese nanotechnology for water collection from air: history, mathematical insight, promises and challenges. Math Methods Appl Sci. https://doi.org/10.1002/mma.6384
He JH (2019a) The simplest approach to nonlinear oscillators. Results Phys 15:102546. https://doi.org/10.1016/j.rinp.2019.102546
He JH (2019b) The simpler, the better: analytical methods for nonlinear oscillators and fractional oscillators. J Low Freq Noise Vib Act Control 38:1252–1260
Qian YH, Pan JL, Qiang Y et al (2019) The spreading residue harmonic balance method for studying the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction. J Low Freq Noise Vib Act Control 38:1261–1271
Anjum N, He JH (2020) Homotopy perturbation method for N/MEMS oscillators. J Math Methods Appl Sci. https://doi.org/10.1002/mma.6583
He JH, Nurakhmetov D, Skrzypacz P, Wei DM (2020) Dynamic pull-in for micro-electromechanical device with a current-carrying conductor. J Low Freq Noise Vib Act Control. https://doi.org/10.1177/146134841984729
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Ghanbari, M., Rezazadeh, G. An electrostatically actuated microsensor for determination of micropolar fluid physical properties. Meccanica 55, 2091–2106 (2020). https://doi.org/10.1007/s11012-020-01242-x
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DOI: https://doi.org/10.1007/s11012-020-01242-x