article · IEEE Transactions on Plasma Science
This theoretical study models the peristaltic flow of a non-Newtonian nanofluid through a porous medium within the space between two co-axial tubes. The outer tube features a travelling sinusoidal wave along its wall, while the inner tube is rigid. Using a third-grade fluid model, the analysis incorporates heat and mass transfer alongside thermal diffusion, diffusion thermo effects, heat sources, and chemical reactions. Governing equations for fluid velocity, temperature, and nanoparticle concentration are simplified using long wavelength and low Reynolds number assumptions. These equations are resolved via the homotopy perturbation method. The findings demonstrate that fluid velocity rises with an increase in the third-grade parameter but declines as magnetic field strength increases. In addition, fluid temperature climbs alongside increases in the Brownian motion parameter, whereas the concentration of nanoparticles drops when the chemical reaction rate parameter increases.
Understanding how complex nanofluids behave under magnetic fields and wave-like pumping actions is essential for designing advanced fluid systems. This mathematical modelling clarifies how temperature, chemical reactions, and fluid velocity interact when transferring heat and mass through porous, confined channels.
The abstract does not indicate an application pathway, as it presents early-stage theoretical and mathematical modelling of nanofluid transport without addressing specific commercial applications, end users, or implementation steps.
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Magnetohydrodynamics peristaltic flow of non-Newtonian nanofluid with heat and mass transfer is investigated. The fluid obeys third-grade model and flows through a porous medium inside a gap between two co- axial tubes, where the inner is rigid and the outer has a sinusoidal wave traveling down its wall. The effects of heat source and chemical reaction on the fluid are taken into account. The governing equations that describe the velocity, temperature, and nanoparticles concentration of the fluid are simplified under the assumptions of long wavelength and low Reynolds number. The homotopy perturbation method (HPM) is used to solve these equations, and the solutions are obtained as functions of the physical parameters entering the problem. The behavior of the obtained solutions for different values of these parameters is discussed in detail and illustrated graphically through a set of figures. It is shown that the velocity increases with the increase in the third-grade parameter, while it decreases with increasing the magnetic field parameter. Also, the temperature increases by increasing the Brownian motion parameter. Furthermore, the nanoparticles’ concentration decreases with the increase in the chemical reaction rate parameter.
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DOI: 10.1109/tps.2022.3161740
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