Magnetohydrodynamic Stability of Jeffery-Hamel Flow using Different Nanoparticles

Abstract

The effects of nanoparticles and magnetic field on the nonlinear Jeffery-Hamel flow of Cu-water nanofluid are analyzed in the present study. The aThe effects of three different nanoparticles and magnetic field on the nonlinear Jeffery-Hamel flow of water based nanofluid are analyzed in the present study. The basic dimensionless governing equations are solved using series solution which are then analysed to inspect the instability of the problem by a semi-numerical analytical technique called Hermite- Padé approximation. The velocity profiles are presented in convergentdivergent channels for various values of nanoparticles solid volume fraction, Hartmann number, Reynolds number and channel angle. The dominating singularity behavior of the problem is analysed numerically and graphically. The critical relationships among the parameters are also performed qualitatively to observe the behavior of the various nanoparticles.basic dimensionless governing equations are solved using series solution which are then analysed to inspect the instability of the problem by a semi-numerical analytical technique called Hermite- Padé approximation. The velocity profiles are presented in convergent-divergent channels for various values of nanoparticles solid volume fraction, Hartmann number, Reynolds number and channel angle. The dominating singularity behavior of the problem is analysed numerically and graphically. The critical relationships among the parameters are also performed qualitatively to observe the behavior of the nanoparticles.

Keywords

• Jeffery-Hamel flow; Magnetohydrodynamic; Nanofluid; Dominating singularity; Hermite-Padé approximation.