Journal Article

Electromagnetohydrodynamic Flow of Powell-Eyring Fluids in a Narrow Confinement

Li, F.-Q., Xie, Z.-Y., Wang, L., Jian, Y.-J.

2017

Overview

In this work, we investigate electromagnetohydrodynamic (EMHD) flow of Powell-Eyring fluid through a slit confinement. The approximate analytical solution and numerical result of EMHD velocity are obtained by using homotopy perturbation method and Chebyshev spectral method, respectively. The analytical solutions are found to be in good agreement with numerical results under the same conditions. The influences of Hartmann number Ha, electrical field strength parameter S, the Powell-Eyring fluid parameters γ and β on velocity are discussed in detail. It is found that the volume flow rate of Newtonian fluid is always larger than that of Powell-Eyring fluid. The results reveal the intricate interaction between EMHD effect and fluid rheology involving non-Newtonian fluid. Therefore, the results are useful in dealing with some non-Newtonian biomicrofluidic systems.

• Publisher: Cambridge University Press,Oxford University Press
• Subject: Analysis / Chebyshev approximation / Computational fluid dynamics / Confinement / Electric currents / Electromagnetism / Exact solutions / Field strength / Fluid flow / Fluid mechanics / Fluids / Hartmann number / Magnetic fields / Mathematical analysis / Mathematical models / Mechanics / Newtonian fluids / Non Newtonian fluids / Parameters / Perturbation methods / Reynolds number / Rheological properties / Rheology / Spectral methods / Studies / Velocity