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

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 (H2O) + 50% ethylene glycol (EG) base fluid with a hybrid combination of magnetite (Fe3O4) and cobalt ferrite (CoFe2O4) 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.

Advance effect of magnetic field on the rheological properties of manganese zinc ferrite ferrofluid

“…Mn-Zn ferrite ferrofluid is underdamped, this occurred because elastic particles are dominated by the system, and the effect is ascribed to a small amount of energy being dissipated by the system [3]. Micron-sized magnetic particles found in magneto rheological fluids undergo quick viscosity changes in response to a magnetic field, providing flexible and reversible damping solutions for use in automotive and engineering systems [4,5]. The magnetic nanofluid is produced as either ferrofluid or magneto rheological fluid (MR fluid), depending on the size of the magnetic fluid particles.…”

Multiple Solutions and Stability Analysis of Magnetic Hybrid Nanofluid Flow Over a Rotating Disk with Heat Generation

“…Meanwhile, hybrid ferrofluids are the combination of two solid ferromagnetic particles with a conventional heat exchange fluid like water, ethylene glycol or their mixture (water-ethylene glycol). Several studies numerically demonstrated the development of heat transfer rate in ferrofluids (see Anuar et al, [2], Saranya et al, [3], Waini et al, [4] and Hamid et al, [5]). The heat generation physically affects the distribution of temperature in the engineering applications like semiconductor wafers, electronic chips and nuclear reactors [6].…”

Mixed convection MHD hybrid nanofluid flow between two parallel rotating discs with joule heating and chemical reactions using bvp4c

“…Li et al 34 conducted an analysis of the effect of Joule heating on the flow of nanofluid through a permeable conduit. While this was going on, Saranya et al 35 noticed how the hybrid ferrofluid flow through a contracting cylinder was affected by viscous dissipation and Joule heating. They employ a base fluid mixture of water (50%) and ethylene glycol (50%) along with magnetite-cobalt ferrite hybrid nanoparticles in their study.…”