Advertisement

Role of Electric Field on Peristaltic Flow of a Micropolar Fluid

  • M. K. ChaubeEmail author
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 34)

Abstract

Peristaltic transport of a micropolar fluid is investigated in the view of an electric field. Debye-Hückel linearization is employed to simplify the problem, and electrical double layer (EDL) is considered very thin so that the effect of applied electric field is represented in terms of the electroosmotic slip velocity (i.e., Helmholtz–Smoluchowski velocity) at the channel walls. Axial velocity is achieved in the form of closed expression through low Reynolds number and long wavelength approximations. The effects of electric field and coupling number are shown by plotting graphs based on computational results. It is found that the axial velocity enhances with the electric field applied in the flow direction and diminishes with the electric field applied against the flow direction.

Keywords

Peristaltic flow Micropolar fluid EDL Helmholtz–Smoluchowski velocity 

References

  1. 1.
    Chakraborty, S.: Augmentation of peristaltic microflows through electro-osmotic mechanisms. J. Phys. D Appl. Phys. 39(24), 5356 (2006)CrossRefGoogle Scholar
  2. 2.
    Goswami, P., Chakraborty, J., Bandopadhyay, A., Chakraborty, S.: Electrokinetically modulated peristaltic transport of power-law fluids. Microvasc. Res. 103, 41–54 (2016)CrossRefGoogle Scholar
  3. 3.
    Tripathi, D., Bhushan, S., Bég, O. A.: Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects. Colloids Surf A Physicochem. Eng. Asp. (2016)CrossRefGoogle Scholar
  4. 4.
    Tripathi, D., Mulchandani, J., Jhalani, S.: Electrokinetic transport in unsteady flow through peristaltic microchannel. In: 2nd International Conference On Emerging Technologies: Micro To Nano, Contributory Papers Presented in 2nd International Conference on Emerging Technologies: Micro to Nano 2015, vol. 1724, No. 1, p. 020043. AIP Publishing (2016)Google Scholar
  5. 5.
    Shit, G.C., Ranjit, N.K., Sinha, A.: Electro-magnetohydrodynamic flow of biofluid induced by peristaltic wave: a non-Newtonian model. J. Bionic Eng. 13(3), 436–448 (2016)CrossRefGoogle Scholar
  6. 6.
    Eringen, A.C.: Theory of micropolar fluids (No. RR-27). Purdue University Lafayette in School Of Aeronautics and Astronautics (1965)Google Scholar
  7. 7.
    Pandey, S.K., Tripathi, D.: Unsteady peristaltic flow of micro-polar fluid in a finite channel. Zeitschriftfür Naturforschung A 66(3–4), 181–192 (2011)Google Scholar
  8. 8.
    Tripathi, D., Chaube, M.K., Gupta, P.K.: Stokes flow of micro-polar fluids by peristaltic pumping through tube with slip boundary condition. Appl. Math. Mech. 32(12), 1587–1598 (2011)MathSciNetCrossRefGoogle Scholar
  9. 9.
    Akbar, N.S., Nadeem, S.: Peristaltic flow of a micropolar fluid with nano particles in small intestine. Appl. Nanosci. 3(6), 461–468 (2013)CrossRefGoogle Scholar
  10. 10.
    Shit, G.C., Roy, M.: Effect of slip velocity on peristaltic transport of a magneto-micropolar fluid through a porous non-uniform channel. Int. J. Appl. Computat. Math. 1(1), 121–141 (2015)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Ravi Kiran, G., Radhakrishnamacharya, G., Anwar Bég, O.: Peristaltic flow and hydrodynamic dispersion of a reactive micropolar fluid-simulation of chemical effects in the digestive process. J. Mech. Med. Biol., p. 1750013 (2016)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Dr. SPM-IIITNew RaipurIndia

Personalised recommendations