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Published February 21, 2018 | Published
Journal Article Open

The study of non-Newtonian nanofluid with hall and ion slip effects on peristaltically induced motion in a non-uniform channel


In this study, we considered the unsteady peristaltic motion of a non-Newtonian nanofluid under the influence of a magnetic field and Hall currents. The simultaneous effects of ion slip and chemical reaction were also taken into consideration. The flow problem was suggested on the basis of the continuity, thermal energy, linear momentum, and nanoparticle concentration, which were further reduced with the help of Ohm's law. Mathematical modelling was executed using the lubrication approach. The resulting highly nonlinear partial differential equations were solved semi-analytically using the homotopy perturbation technique. The impacts of all the pertinent parameters were investigated mathematically and graphically. Numerical calculations have been used to calculate the expressions for the pressure increase and friction forces along the whole length of the channel. The results depict that for a relatively large value of the Brownian parameter, the chemical reaction has a dual behaviour on the concentration profile. Moreover, there is a critical point of the magnetic parameter at which the behaviours of the pressure increase and friction forces are reversed for progressive values of the power law index. The present investigation provides a theoretical model that estimates the impact of a wide range of parameters on the characteristics of blood-like fluid flows.

Additional Information

© 2018 The Royal Society of Chemistry. This Open Access Article is licensed under a Creative Commons Attribution 3.0 Unported Licence. The article was received on 09 Dec 2017, accepted on 05 Feb 2018 and first published on 20 Feb 2018. Sara I. Abdelsalam thanks the Binational Fulbright Commission in Egypt and the Council for International Exchange of Scholars in the USA for the honor of the Fulbright Egyptian Scholar Award for the year 2015–2016. Sara I. Abdelsalam is also grateful to Professor John Brady, Division of Chemistry and Chemical Engineering at Caltech, for his support during the period from July to September, 2016.

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August 19, 2023
August 19, 2023