Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel

Mubbashar Nazeer, Farooq Hussain, M. Ijaz Khan, Asad-ur-Rehman,, Essam Roshdy El-Zahar, Yu-Ming Chu and M.Y. Malik

Applied Mathematics and Computation, 2022, vol. 420, issue C

Abstract: The electro-osmatic flow of non-newtonian fluid in a micro-channel is investigated in this article. The governing equations are derived with the help of a stress tensor then later transformed into dimensionless form with non-dimensional quantities. The perturbation method is used to obtain the approximate analytical solution of the given problem. The viscosity of the fluid is taken as a variable in terms of temperature. The validity of the perturbation solution is provided. The Pseudo-spectral collocation method is used to calculate the error in the perturbation solution of velocity and temperature. The magnitude of error in velocity and temperature is 10−4 and 10−2, respectively. The impact of emerging parameters on velocity and heat profiles is also presented. The computational results reveal that the velocity profile diminishing via non-Newtonian parameter Γ1, electro-kinetic parameter Γ2, magnetic field parameter M and viscosity parameter D while an opposite behavior is noted in the velocity versus pressure gradient parameter Γ3, viscosity parameter E and wall's temperature θw, respectively. Further, the temperature profile increases against the enhancement of Brinkman number, Joule heating parameter, pressure gradient parameter, wall's temperature, viscosity parameter D while reverse behavior is observed via electro-kinetic and magnetic field parameters. This study will help to understand the basic idea of MHD electro osmotic flow of non-Newtonian fluid bounded within a microchannel under the influence of variable viscosity. Further, this research can be useful to design the different types of biomedical lab-on-a-chip and thermal microfluidic devices. The developed devices can be helpful in DNA analysis and biomedical diagnosis etc.

Keywords: Non-Newtonian fluid; Vogel's model; Perturbation solution; Pseudo-spectral collocation method; Micro-parallel plates (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:420:y:2022:i:c:s0096300321009516

DOI: 10.1016/j.amc.2021.126868

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