Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model

Dharmendra Tripathi, Ravindra Jhorar, O. Anwar Bég, Sachin Shaw

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

A theoretical study is presented of peristaltic hydrodynamics of an aqueous electrolytic non-Newtonian Jeffrey bio-rheological fluid through an asymmetric microchannel under an applied axial electric field. An analytical approach is adopted to obtain the closed form solution for velocity, volumetric flow, pressure difference and stream function. The analysis is also restricted under the low Reynolds number assumption (Stokes flow) and lubrication theory approximations (large wavelength). Small ionic Peclét number and Debye–Hückel linearization (i.e. wall zeta potential ≤ 25 mV) are also considered to simplify the Nernst–Planck and Poisson–Boltzmann equations. Streamline plots are also presented for the different electro-osmotic parameter, varying magnitudes of the electric field (both aiding and opposing cases) and for different values of the ratio of relaxation to retardation time parameter. Comparisons are also included between the Newtonian and general non-Newtonian Jeffrey fluid cases. The results presented here may be of fundamental interest towards designing lab-on-a-chip devices for flow mixing, cell manipulation, micro-scale pumps etc. Trapping is shown to be more sensitive to an electric field (aiding, opposing and neutral) rather than the electro-osmotic parameter and viscoelastic relaxation to retardation ratio parameter. The results may also help towards the design of organ-on-a-chip like devices for better drug design.

Original languageEnglish
Pages (from-to)2079-2090
Number of pages12
JournalMeccanica
Volume53
Issue number8
DOIs
Publication statusPublished - Jun 1 2018

Fingerprint

Electroosmosis
microchannels
Microchannels
mathematical models
Electric fields
Mathematical models
Approximation theory
electric fields
Lab-on-a-chip
Fluids
lab-on-a-chip devices
Zeta potential
Linearization
Stokes flow
Lubrication
fluids
low Reynolds number
Reynolds number
linearization
Hydrodynamics

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Tripathi, Dharmendra ; Jhorar, Ravindra ; Anwar Bég, O. ; Shaw, Sachin. / Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel : mathematical model. In: Meccanica. 2018 ; Vol. 53, No. 8. pp. 2079-2090.
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Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel : mathematical model. / Tripathi, Dharmendra; Jhorar, Ravindra; Anwar Bég, O.; Shaw, Sachin.

In: Meccanica, Vol. 53, No. 8, 01.06.2018, p. 2079-2090.

Research output: Contribution to journalArticle

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