Shifted Legendre Collocation Method for the Solution of Unsteady Viscous-Ohmic Dissipative Hybrid Ferrofluid Flow over a Cylinder.

Shekar Saranya,Shumaila Javed,Qasem M Al-Mdallal

doi:10.3390/nano11061512

Shekar Saranya, Shumaila Javed + Show 1 more

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https://doi.org/10.3390/nano11061512

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Abstract

A numerical treatment for the unsteady viscous-Ohmic dissipative flow of hybrid ferrofluid over a contracting cylinder is provided in this study. The hybrid ferrofluid was prepared by mixing a 50% water (HO) + 50% ethylene glycol base fluid with a hybrid combination of magnetite (FeO and cobalt ferrite (CoFeO ferroparticles. Suitable parameters were considered for the conversion of partial differential equations (PDEs) into ordinary differential equations (ODEs). The numerical solutions were established by expanding the unknowns and employing the truncated series of shifted Legendre polynomials. We begin by collocating the transformed ODEs by setting the collocation points. These collocated equations yield a system of algebraic equations containing shifted Legendre coefficients, which can be obtained by solving this system of equations. The effect of the various influencing parameters on the velocity and temperature flow profiles were plotted graphically and discussed in detail. The effects of the parameters on the skin friction coefficient and heat transfer rates were further presented. From the discussion, we come to the understanding that Eckert number considerably decreases both the skin friction coefficient and the heat transfer rate.

Highlights

A new nanotechnology-based heat-transfer liquid possessing adequate thermal capabilities is essentially useful for satisfying the needs and demands of manufacturing or innovative firms
The graphical data of the parameters active on the common profiles, the local skin friction coefficient, and the rate of heat transfer for the hybrid ferrofluid are discussed
Note that increasing the values for S leads to an increment in the fluid velocity, f 0 (η ). This is because when we enhance the values of S, there is an enhancement in the momentum boundary layer thickness in response, which eventually helps in the increment of f 0 (η )

Summary

Introduction

A new nanotechnology-based heat-transfer liquid possessing adequate thermal capabilities is essentially useful for satisfying the needs and demands of manufacturing or innovative firms. Among the prospects are the so-called ferrofluids, which are basically nanofluids that contain a suspension of nanometer-measured solid ferromagnetic particles in customary heat exchange fluids, such as ethylene glycol and water. Ferrofluids exhibit unique fluid attributes and strongly respond to magnetization. Dinarvand et al [1] analyzed the behavior of CuO-Cu/blood hybrid nanofluid flow near the stagnation point of a horizontal porous stretching sheet. It was demonstrated that CuO and Cu hybrid nanoparticles can reduce the capillary’s hemodynamic effect relative to pure blood cases. A new approach for the adaptation of magnetic nanoparticles for the magnetic hyperthermia and the imaging of tumor cells was demonstrated by Vuong et al [2] using a highly stable ferrofluid based on magnetite nanoparticles, which has high magnetization and high specific absorption. Qi et al [3]

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