Soret-Dufour Effects on The Waterbased Hybrid Nanofluid Flow with Nanoparticles of Alumina and Copper

Abstract

The two-dimensional mathematical model ofwater-based hybrid nanofluid, where the nanoparticles of the model are alumina (Al2O3) and copper (Cu) is analyzed in this article. It describes the heat and mass transfer which are induced by concentration and temperature differences, respectively. The current mathematical model extended the works by implementing both directions of moving sheet in the boundary conditions: stretching and shrinking, and use the exponential variations of the sheet velocity, temperature, and concentration of the hybrid nanofluid at the sheet. The final numerical solutions can be obtained by implementing Matlab bvp4c, which involves the step of choosing the most reliable solution in an actual fluid situation. This selection technique on numerical solutions is known as stability analysis and only needs to apply when more than one numerical solution appears in the Matlab bvp4c program. Finally, the controlling parameters such as nanoparticle solid volume fraction, suction, shrinking/stretching, Soret and Dufour cause an increment or decrement in the flow, heat and mass transfer in the hybrid nanofluid. For the stable solution, fluid velocity becomes slower whereas temperature and concentration of the fluid increase when the percentage of Cu, as well as Al2O3, rises into the water. Moreover, in case of local Nusselt number and local Sherwood number it is proved that Soret effect is the opposite phenomenon of Dufour effect.

On the solution of MHD Jeffery–Hamel problem involving flow between two nonparallel plates with a blood flow application

“…Bernstein polynomials constitute a complete basis set over the interval [0,1]. Any polynomial of degree n may be written as a linear combination of basis functions.…”

“…• Another notable property of the Bernstein polynomial bases throughout the interval [0,1] is that they all disappear at ζ = 0 and 1 except the first and last polynomials, which are equal to 1. This property simplified the manipulation of Dirichlet boundary conditions at endpoints of solution interval.…”

“…Applications for MHD can be found in a wide variety of disciplines, such as engineering (building and refining MHD generators and pumps), physics (examining fusion reactors and space plasmas), and astronomy (studying phenomena like star winds and accretion disks). The research of MHD in the various types of the fluid and the dimensions of the boundary has been studied recently, for example, The Waterbased Hybrid Nanofluid Flow with Nanoparticles of Alumina and Copper, 1 The study of nanofluid flow in a wavy porous enclosure subjected to a magnetic field, 2 Newtonian Fluid Flow over the Inclined Sheet and Magnetic Field, 3 Ostwald-de Waele non-Newtonian nanofluid subject to Lorentz force, and entropy optimization in a corrugated porous medium enclosure, 4 Maxwell nanofluid, 5 and inclined magnetic Casson fluid flow. 6 The MHD Jeffery-Hamel problem describes the flow of an incompressible viscous fluid between inclined walls with an angle α 2 on its vertex on one side, that is, nonparallel plane walls.…”

Computational Approach on Convective-Magneto Trihybrid Nanoflow with Space Dependent Energy Source/Sink: Drug Delivery

“…Hayat et al [15] analysed the Fe 3 O 4 and Al 2 O 3 immersed thin film flow on stretching surface. Isa et al [17] investigated the alumina and copper nanoparticle-suspended water-based hybrid nanoflow. Reddy et al [18] analysed the mass-energy transport properties of a hybrid nanofluid across a stretching or shrinking sheet with slip effects.…”

Heat transfer analysis of thermal radiative over a stretching curved surface using molybdenum disulfide and silicon dioxide composite material under the influence of solar radiation

“…Furthermore, Soret–Dufour effects on the water-based HNF flow with NPs of alumina and copper was conducted by Isaet al. (Isa et al ., 2023).…”