Abstract
Electrokinetic transport of fluids through microchannel by micropumping and microperistaltic pumping has much interest for many engineering, medical, and industrial applications. Motivated in part by the need of mathematical model to study the electrokinetic transport by peristaltic pumping, an analytical approach is presented. A non-integral number of wave propagation is considered for transportation of fluid bolus along the channel length. Debye-Hückel linearization is employed to find out the potential function. A non-dimensional analysis is employed to simplify the governing equations. Low Reynolds number and large wavelength approximations are taken into account. The effects of characteristic electrical double layer (EDL) thickness and maximum electroosmotic velocity on pumping characteristics are discussed by computational results.
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References
Akbar NS, Raza M, Ellahi R (2015) Influence of induced magnetic field and heat flux with the suspension of carbon nanotubes for the peristaltic flow in a permeable channel. J Magn Magn Mater 381:405–415
Blanchette F (2014) The influence of suspended drops on peristaltic pumping. Phys Fluids (1994-present) 26: 061902
Brettschneider T, Dorrer C (2013) Microfluidic peristaltic pump, method and pumping system: Google Patents
Burns J, Parkes T (1967) Peristaltic motion. J Fluid Mech 29:731–743
Chakraborty S (2006) Augmentation of peristaltic microflows through electro-osmotic mechanisms. J Phys D Appl Phys 39:5356
Chou H-P, Fu AY, Quake SR (2015) Microfluidic devices and methods of use: Google Patents
Dey R, Chakraborty D, Chakraborty S (2012) Extended Graetz problem for combined electroosmotic and pressure-driven flows in narrow confinements with thick electric double layers. Int J Heat Mass Transf 55:4724–4733
Ellahi R, Bhatti MM, Vafai K (2014) Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct. Int J Heat Mass Transf 71:706–719
Fung Y, Yih C (1968) Peristaltic transport. J Appl Mech 35:669–675
Goodson KE, Chen C-H, Huber DE, Jiang L, Kenny TW, Koo J-M et al (2005) Electroosmotic microchannel cooling system: Google Patents
Iverson BD, Garimella SV (2008) Recent advances in microscale pumping technologies: a review and evaluation. Microfluid Nanofluid 5:145–174
Jaffrin M, Shapiro A (1971) Peristaltic pumping. Annu Rev Fluid Mech 3:13–37
Kothandapani M, Prakash J (2015) Effect of radiation and magnetic field on peristaltic transport of nanofluids through a porous space in a tapered asymmetric channel. J Magn Magn Mater 378:152–163
Li M, Brasseur JG (1993) Non-steady peristaltic transport in finite-length tubes. J Fluid Mech 248:129–151
Mohammadi M, Madadi H, Casals-Terré J, Sellarès J (2015) Hydrodynamic and direct-current insulator-based dielectrophoresis (H-DC-iDEP) microfluidic blood plasma separation. Anal Bioanal Chem 407:4733–4744
Pozrikidis C (1987) A study of peristaltic flow. J Fluid Mech 180:515–527
Shapiro AH, Jaffrin MY, Weinberg SL (1969) Peristaltic pumping with long wavelengths at low Reynolds number. J Fluid Mech 37:799–825
Shukla J, Parihar R, Rao B, Gupta S (1980) Effects of peripheral-layer viscosity on peristaltic transport of a bio-fluid. J Fluid Mech 97:225–237
Si D, Jian Y (2015) Electromagnetohydrodynamic (EMHD) micropump of Jeffrey fluids through two parallel microchannels with corrugated walls. J Phys D Appl Phys 48:085501
Takabatake S, Ayukawa K (1982) Numerical study of two-dimensional peristaltic flows. J Fluid Mech 122:439–465
Tripathi D, Bég OA (2013) Transient magneto-peristaltic flow of couple stress biofluids: a magneto-hydro-dynamical study on digestive transport phenomena. Math Biosci 246:72–83
Tripathi D, Bég OA (2014a) Peristaltic propulsion of generalized Burgers’ fluids through a non-uniform porous medium: A study of chyme dynamics through the diseased intestine. Math Biosci 248:67–77
Tripathi D, Bég OA (2014b) A study on peristaltic flow of nanofluids: application in drug delivery systems. Int J Heat Mass Transf 70:61–70
Xie J, Shih J, Lin Q, Yang B, Tai Y-C (2004) Surface micromachined electrostatically actuated micro peristaltic pump. Lab Chip 4:495–501
Zhang X, Chen Z, Huang Y (2015) A valve-less microfluidic peristaltic pumping method. Biomicrofluidics 9:014118
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Tripathi, D., Bhushan, S., Yadav, A., Sharma, A. (2018). Mathematical Study of Peristalsis in the Presence of Electrokinetic Transport in Parallel Plate Microchannel. In: Singh, M., Kushvah, B., Seth, G., Prakash, J. (eds) Applications of Fluid Dynamics . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5329-0_19
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DOI: https://doi.org/10.1007/978-981-10-5329-0_19
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