Significance low oscillating magnetic field and Hall current in the nano-ferrofluid flow past a rotating stretchable disk

Muhammad Ramzan,Saima Riasat,Kottakkaran Sooppy Nisar,Yan Zhang,Hassan Ali S Ghazwani,N Ameer Ahammad,Irfan Anjum Badruddin

doi:10.1038/s41598-021-02633-0

Abstract

The present investigation involves the Hall current effects past a low oscillating stretchable rotating disk with Joule heating and the viscous dissipation impacts on a Ferro-nanofluid flow. The entropy generation analysis is carried out to study the impact of rotational viscosity by applying a low oscillating magnetic field. The model gives the continuity, momentum, temperature, magnetization, and rotational partial differential equations. These equations are transformed into the ODEs and solved by using bvp4c MATLAB. The graphical representation of arising parameters such as effective magnetization and nanoparticle concentration on thermal profile, velocity profile, and rate of disorder along with Bejan number is presented. Drag force and the heat transfer rate are given in the tabular form. It is comprehended that for increasing nanoparticle volume fraction and magnetization parameter, the radial, and tangential velocity reduce while thermal profile surges. The comparison of present results for radial and axial velocity profiles with the existing literature shows approximately the same results.

Highlights

The present investigation involves the Hall current effects past a low oscillating stretchable rotating disk with Joule heating and the viscous dissipation impacts on a Ferro-nanofluid flow
T∞ Ambient temperature (Cp)nf Specific heat of nanofluid (Cp)s Specific heat of solid single particles (Cp)f Specific heat of the fluid (Cp)a Specific heat of aggregate of particles σnf Electrical conductivity of nanofluid σf Electrical conductivity of the fluid σa Electrical conductivity of aggregate of particles σs Electrical conductivity of solid particles ρnf The density of the nanofluid ρs The density of the solid particles ρa The density for aggregation of the particle
We have considered the low oscillating magnetic field with Ferro liquid containing Iron as a nanoparticle

Summary

Introduction

The present investigation involves the Hall current effects past a low oscillating stretchable rotating disk with Joule heating and the viscous dissipation impacts on a Ferro-nanofluid flow. Entropy generation investigation along with the impact of magnetic interaction parameters over rotating disk has been the key of interest for various researchers[38,39,40,41]. The effects of rotational viscosity on temperature and velocity profile are elaborated. Drag force and rate of heat transfer is: Cf ρf τw2r + τw2φ α1 v r 2 1−αt

Results

Conclusion