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Electro-osmotic effect on the peristaltic flow of Williamson nanofluid through a porous medium in the presence of activation energy and modified Darcy's law

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Title Electro-osmotic effect on the peristaltic flow of Williamson nanofluid through a porous medium in the presence of activation energy and modified Darcy's law
 
Creator Abdelmoneim, M. M.
Eldabe, N. T.
Abouzeid, M. Y.
Ouaf, M. E.
 
Subject Activation energy
Electro-osmotic
Modified Darcy's law
Nanofluid
Non-Newtonian fluid
Peristaltic flow
 
Description 257-270
Non-Newtonian nanofluids are widely utilized in medical and engineering fields, such as in cooling of microchips,
lubrications, cancer therapy, drug delivery etc. In the present article, we focused on the electro-osmotic effect on the
peristaltic transport of a non-Newtonian nanofluid inside a horizontal micro-channel. The fluid obeys Williamson model,
flowing through a porous medium with modified Darcy's law. In addition, the effects of a chemical reaction with the
contribution of activation energy are taken in consideration. Furthermore, in the case of modified Darcy's law, the apparent
viscosity of the fluid is used in the governing equations. Furthermore, when temperature of the hot wall tube is less than
three times that of the cold wall, the term of the activation energy is simplified by using Taylor expansion.The governing
equations that illustrate the velocity, temperature, and concentration of nanoparticles distributions are considered and
simplified under the assumptions of a long wavelength and low Reynolds number. The homotopy perturbation method is
used as semi-analytical solution for the governing equations. Moreover, some figures are used to illustrate and discuss the
role of physical parameters entering the problem on the obtained solutions. Since, most of non-Newtonian fluids are
viscoelastic materials, it is important to discuss the effect of Weissenberg number that represents product of strain rate and
relaxation time. It is found that Weissenberg number has dual effects on the axial velocity as well as the temperature and the
concentration distributions. In addition, according to Fick's law of diffusion; the temperature and concentration distributions
should have opposite effects, however, it is found that the increases in the thermophoresis parameter increases both
temperature and concentration distributions. This means the nanoparticles are more concentrated when migrates from one
side of the tube to the other side. Furthermore, the graphs illustrate the dissimilar effect of the activation energy and the rate
of the chemical reaction on the concentration of nanoparticles.
 
Date 2024-03-12T09:16:36Z
2024-03-12T09:16:36Z
2024-03
 
Type Article
 
Identifier 0975-0991 (Online); 0971-457X (Print)
http://nopr.niscpr.res.in/handle/123456789/63568
https://doi.org/10.56042/ijct.v31i2.1822
 
Language en
 
Publisher NIScPR-CSIR, India
 
Source IJCT Vol.31(2) [March 2024]