被撤回的出版物: Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel (Retracted article. See vol. 450, 2023)

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 Gamma(1), electro-kinetic parameter Gamma(2), magnetic field parameter M and viscosity parameter D while an opposite behavior is noted in the velocity versus pressure gradient parameter Gamma(3), viscosity parameter E and wall's temperature theta(w), 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. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This article investigates the electro-osmotic flow of non-Newtonian fluid in a micro-channel. Perturbation method is used to obtain the approximate analytical solution and pseudo-spectral collocation method is used to calculate the error in the solution. The study reveals the impact of various parameters on velocity and heat profiles, providing insights for understanding the behavior of non-Newtonian fluid in microchannels.