Electro-osmotic Flow of Non-Newtonian Biofluids Through Wavy Micro-Concentric Tubes
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Most biofluids are non-Newtonian fluids with complex flow behaviors; for instance, human blood and DNA samples are shear thinning fluids (Jeffery model). The electro-kinetic transport of such fluids by microperistaltic pumping has been a topic of interest in biomedical engineering and other medical fields. This type of fluid transport requires sophisticated mathematical models and numerical simulations. Motivated by these developments, this study analyzed the simultaneous effects of an electric double layer (EDL) and a transverse magnetic field on the peristaltic flow and transport of blood. However, electro-osmotic flow is most significant when in micro channels/tubes. A constitutive relation is proposed to describe the electro-osmotic flow in the gap between two micro-coaxial horizontal pipes. Under low Reynolds number, long wavelength and Debye linearization approximations, the Poisson-Boltzmann equation, and governing equations are derived with the appropriate boundary conditions. The expressions for the electric potential, stream function, axial velocity, shear wall stress, and axial pressure gradient are obtained. The pressure rise and frictional force per wavelength are numerically evaluated and briefly discussed. The computational evidence suggests that the electric potential is an increasing function of the EDL thickness. Additionally, axial flow is accelerated by a positive electric field and decelerated by a negative electric field. Finally, the bolus size is reduced as the axial external electric field changes from the positive to negative direction.
KeywordsElectro-osmotic flow Magnetic field Jeffrey fluid Endoscope
- 1.Hunter, R.J. (1989). Foundations of colloid science. UK: Oxford University Press.Google Scholar
- 4.Sayar, E., & Farouk, B. (2012). Multi-field analysis of a piezoelectric valveless micropump: effects of actuation frequency and electric potential. Smart Materials and Structures, 075002, 21.Google Scholar
- 5.Tripathi, D., Bhushan, S., Anwar Bg, O. (2017). Analytical study of electro-osmosis modulated capillary peristaltic hemodynamics, Journal of Mechanics, 17, (03). https://doi.org/10.1142/S021951941750052X 1750052 (22 pages).
- 6.Abo-Elkhair, R.E., Mekheimer, Kh.S., Moawad, A. M. A. (2017). Combine impacts of electrokinetic variable viscosity and partial slip on peristaltic MHD flow through a micro-channel, Iran J Sci Technol Trans Sci. https://doi.org/10.1007/s40995-017-0374-y.
- 8.Abo-Elkhair, R. E., Mekheimer, Kh. S., Moawad, A. M. A. (2017). Cilia walls influence on peristaltically induced motion of magneto-fluid through a porous medium at moderate Reynolds number: numerical study. Journal of the Egyptian Mathematical Society, 25(2), 238–251.MathSciNetCrossRefGoogle Scholar
- 11.Akbar, N. S., Tripathi, D., Anwar Bég, O. (2016). Modelling nanoparticle geometry effects on peristaltic pumping of medical magnetohydrodynamic nanofluids with heat transfer. Journal of Mechanics, 16(2), 1650088.1–1650088.20.Google Scholar
- 16.Bhatti, M.M., Zeeshan, A., Ijaz, N., Anwar Bg, O., Kadir, A. (2016). Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium channel, Engineering Science and Technology, (in press). https://doi.org/10.1016/j.jestch.2016.11.003.
- 17.Ramos, A. (2008). Electrohydrodynamic and magneto-hydrodynamic micropumps. In Hardt, S., & Schönfeld, F. (Eds.) Microfluidics Technologies for Miniaturized Analysis Systems (pp. 59–116).Google Scholar
- 26.Hunter, R. (1981). Zeta potential in colloid science: principles and applications. London: Academic.Google Scholar
- 28.Mekheimer, Kh. S. (2002). Peristaltic transport of a couple-stress fluid in a uniform and non-uniform channels. Biorheology, 39, 755–765.Google Scholar
- 29.Mekheimer, Kh. S., Hemada, K. A., Raslan, K. R., Abo-Elkhair, R. E., Moawad, A. M. A. (2014). Numerical study of a non-linear peristaltic transport: application of Adomian decomposition method(ADM). Gen. Math. Notes, 20, 22–49.Google Scholar
- 30.Mekheimer, Kh. S. (2005). Peristaltic transport through a uniform and non-uniform Annulus. Arabian J. for Science and Engineering, 30(1A), 1–15.Google Scholar
- 31.Mekheimer, K.S. (2003). Non- linear peristaltic transport of MHD flow in an inclined planar channel. Arabian J. for Science and Engineering, 28(2A), 183–201.Google Scholar