The Impact of Sinusoidal Surface Temperature on the Natural Convective Flow of a Ferrofluid along a Vertical Plate

Abstract

The spotlight of this investigation is primarily the effectiveness of the magnetic field on the natural convective for a Fe 3 O 4 ferrofluid flow over a vertical radiate plate using streamwise sinusoidal variation in surface temperature. The energy equation is reduplicated by interpolating the non-linear radiation effectiveness. The original equations describing the ferrofluid motion and energy are converted into non-dimensional equations and solved numerically using a new hybrid linearization-differential quadrature method (HLDQM). HLDQM is a high order semi-analytical numerical method that results in analytical solutions in η-direction, and so the solutions are valid overall in the η domain, not only at grid points. The dimensionless velocity and temperature curves are elaborated. Furthermore, the engineering curiosity of the drag coefficient and local Nusselt number are debated and sketched in view of various emerging parameters. The analyzed numerical results display that applying the magnetic field to the ferroliquid generates a dragging force that diminishes the ferrofluid velocity, whereas it is found to boost the temperature curves. Furthermore, the drag coefficient sufficiently minifies, while an evolution in the heat transfer rate occurs as nanoparticle volume fraction builds. Additionally, the augmentation in temperature ratio parameter signifies a considerable growth in the drag coefficient and Nusselt number. The current theoretical investigation may be beneficial in manufacturing processes, development of transport of energy, and heat resources. Mathematics 2019, 7, 1014 2 of 12 naturalistic kind of boundary condition which considers the effectiveness of thermophoresis Brownian movement. Khan and Pop [4] utilized the idea in [3] to contemplate the principal deal with nanofluid flow over an extending sheet. Bachok et al. [5] implemented an investigation of nanofluid flow past a semi-infinite plate. Rashad et al. [6] inspected the enhancement of heat transfer in a Darcy nanofluid convective flow past a porous cone. Rashad et al. [7] also probed the non-Darcy problem of a thermally stratified nanofluid flow over a vertical cylinder. They explored how heat transfer rate declined as the Brownian motion parameter boosted. However, abundant fundamental investigations are performed in this field, as can be seen in [8-13].Magnetic nanofluids (or ferrofluids) are the colloidal suspension of magneto-nanoparticles in a regular fluid (water, kerosene, mineral oil). Ferrofluids are magnetically controllable nanofluids, which contain magnetic nanoparticles, such as iron, cobalt, nickel, magnetite, ferrite, spinel-type. Since ferrofluids can be easily manipulated by means of an external magnetic force, the use of these fluids is promoted in numerous significant industrial applications, such as in vacuum seals, vibration-dampers, loudspeakers, shock absorbers, transformers coolant, and stepper motors [14][15][16][17][18][19]. Hayat et al. [20,21] probed the magneto-flow of Newtonian and viscoelastic nanofluids over ...

Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder

“…Zhao et al 36 discussed the effect of magnetic field heat transfer of nanofluids in microchannels. Several other significant studies in this concern are due to [37][38][39][40] .…”

Impacts of Viscous Dissipation and Brownian motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis

“…The partial differential equations (PDE) system ( 7)-( 10) has a multi-scale solution behavior over an infinite interval where the solution varies quickly over the boundary layer and away from this layer the solution varies slowly and behaves regularly and that is according to the time constants of the solution components. Moreover, the PDE system (7)-( 10) is very sensitive to the initial conditions due to the singularity associated with the highest derivative-term in the system and hence more accurate and efficient adaptive methods are required for solving this class of PDE systems [5,[27][28][29][30][31][32]. System ( 7)-( 10) is converted into a first-order PDE system and discretized using a fourth-order finite difference method in η-orientation and a two-point backward finite difference method [28] in τ-orientation.…”

“…The characteristics of radiation impact on the stretched magneto-flow of non-Newtonian nanofluid were explored by Kumar et al [4]. The hybrid linearization differential quadrature method was utilized to scrutinize the magneto-nanofluid flow past a radiative surface with streamwise diversity in wall temperature reported by EL-Zahar et al [5]. Many investigators [6][7][8][9][10][11][12][13][14] to undertake the nanofluids flow past various configurations and geometries.…”

Micropolar ferrofluid flow via natural convective about a radiative isoflux sphere

“…Many researchers have examined this particulars study in the view of various elements and, including the magnetonanofluids flow, for example, see Refs. [18][19][20][21][22][23][24][25][26] During the last decade, the requirement to model and shape the liquid that comprises rotating microconstituents have given enchantment to the micropolar liquid theory. The fluids that couple the particle rotatory movement and macroscopic velocity distribution are famous as micropolar liquids.…”