Abstract
A mathematical model constructed to study the combined effects of the concentration and the thermodiffusion on the nanoparticles of a Jeffrey fluid with a magnetic field effect the process of containing waves in a three-dimensional rectangular porous medium canal. Using the HPM to solve the nonlinear and coupled partial differential equations. Numerical results were obtained for temperature distribution, nanoparticles concentration, velocity, pressure rise, pressure gradient, friction force and stream function. Through the graphs, it was found that the velocity of fluid rises with the increase of a mean rate of volume flow and a magnetic parameter, while the velocity goes down with the increasing a Darcy number and lateral walls. Also, the velocity behaves strangely under the influence of the Brownian motion parameter and local nanoparticle Grashof number effect.
Highlights
The Peristaltic flow is a mechanics for pumped fluids into tubes when the wave-out of the contraction zone or expansion spreads along an expandable and shrinking tube containing fluid
In (2) Kothandapani and Srinivas analyzed the effect of a magnetic field in the peristaltic transport for a Jeffrey fluid in an asymmetric canal and discussed the problem in wave frame moved at a stable axial velocity under the approximations of low Reynolds number and long wavelength
The influence of wall properties and heat transfer on the peristaltic transport of a Jeffrey fluid through a porous medium in the magnetic field has been investigated by Al-Khafajy and Abdulhadi in (3)
Summary
The Peristaltic flow is a mechanics for pumped fluids into tubes when the wave-out of the contraction zone or expansion spreads along an expandable and shrinking tube containing fluid. The dimensionless equations are analytically solved by the HPM, the expressions are obtained for velocity profile, temperature distribution, pressure rise, pressure gradient, nanoparticles concentration and friction force.
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