Abstract
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.
Highlights
During the recent years, the study of peristaltic ow has become an increasing interest for various researchers due to its efficient phenomena for the transport of uids in different biological systems
Since the implementation of these applications provides exclusive capabilities to improve the mechanism of peristalsis uses, researchers have devoted much effort towards studying the peristaltic nano uid with the magnetic eld in different conduits
A Mathematica toolbox has been used to explore the outcomes arising due to the existence of the Brownian parameter Nb, thermophoresis parameter Nt, chemical reaction parameter g, ion slip parameter bi, Hall parameter be, basic density Grashof number GrF, thermal Grashof number GrT, power law index n, magnetic parameter M, Weissenberg number We, and the average time ow Q into the ow eld. We investigated their in uence on the distributions of temperature q, concentration F, and velocity u, as well as the pressure increase DpL and friction force DfL
Summary
In uid dynamics, a new branch has been introduced namely nano uid dynamics, which has many applications in 7904 | RSC Adv., 2018, 8, 7904–7915. The study of the in uence of the magnetic eld along with the Hall and ion slip effects on the blood ow in an artery has been found to be very helpful and applicable in magnetic resonance angiography (MRA). Since the implementation of these applications provides exclusive capabilities to improve the mechanism of peristalsis uses, researchers have devoted much effort towards studying the peristaltic nano uid with the magnetic eld in different conduits. Considering the abovementioned discussion, the primary motivation of the present study was to extend our interest in studying the peristaltic motion of a hyperbolic tangent uid with the effects of Hall and ion slip through a non-uniform channel taking the chemical reaction into consideration. The impacts of all the emerging parameters have been discussed in details with the help of the graphs
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