Magnetohydrodynamics (MHD) axisymmetric flow and heat transfer of a hybrid nanofluid past a radially permeable stretching/shrinking sheet with Joule heating

Abstract

The main interest of the present work is to fundamentally investigate the flow characteristics and heat transfer of a hybrid Cu-Al2O3/water nanofluid due to a radially stretching/shrinking surface with the mutual effects of MHD, suction and Joule heating. The surface is permeable to physically allow the wall mass fluid suction. Tiwari and Das model of nanofluid is used with the new thermophysical properties of hybrid nanofluid to represent the problem. A similarity transformation is adopted to convert the governing model (PDEs) into a nonlinear set of ordinary differential equations (ODEs). A bvp4c solver in MATLAB software is employed to numerically compute the transformed system. The numerical results are discussed and graphically manifested in velocity and temperature profiles, as well as the skin friction coefficient and heat transfer rate with the pertinent values of the dimensionless parameters namely magnetic, Cu volume fraction, suction and Eckert number. The Eckert number has no impact on the boundary layer separation while the higher value of the suction parameter may affect the heat transfer performance. The presence of dual solutions (first and second) is seen on all the profiles within a limited range of the physical parameters. The stability analysis is executed, and it is validated that the first solution is the real solution.

Dual Solutions and Stability Analysis of Magnetized Hybrid Nanofluid with Joule Heating and Multiple Slip Conditions

“…There have been considered the incompressible 2D, MHD, and steady boundary layer flow of hybrid nanofluid with the effects of Joule heating, velocity, and thermal slip conditions over the exponentially shrinking surface (see Figure 1) without the viscous dissipation effect. By considering all assumptions, the governing mass, momentum, and energy conservations can be expressed as [35,37]:…”

“…In addition, stability analysis on the solutions was done and demonstrated that only the first solution is stable. Meanwhile, the axisymmetric flow of electrically conducting hybrid nanofluid was inspected by Khashi'ie et al [35], in whose work the occurrence of dual solutions is noticed within certain ranges of physical parameters. The stability analysis also specified that only the first solution is stable.…”

Dual Solutions and Stability Analysis of a Hybrid Nanofluid over a Stretching/Shrinking Sheet Executing MHD Flow

“…Moreover, this model has been widely employed by many researchers, such as Hayat et al [21], Saba et al [22], Acharya et al [23], Afridi et al [24], Shafiq et al [25,26], and Manh et al [27]. Furthermore, Khashi'ie et al [28] found dual solutions of magnetohydrodynamic (MHD) flow of a hybrid nanofluid in the presence of Joule heating and noticed that higher values of Eckert number do not affect boundary layer separation. Lund et al [29] studied hybrid nanofluids by considering copper and alumina as solid particles with water as a base fluid.…”

Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet

“…Set of differential equations comprises of Navier–Stokes equations and Maxwell’s equations describes the complete phenomenon of MHD. Kashi’ie et al 28 numerically investigated the flow properties for the dynamics of fluidic system and phenomena of heat transfer for a MHD flow of hybrid nanofluid (Al 2 O 3 /H 2 O) due to stretching sheet while considering the joule heat effects. Osho et al 29 discovered the flow characteristics of hybrid nanofluid (Al 2 O 3 -Zn/H 2 O) and noticed the significant effect of concentration of nanoparticles over the viscosity and specific heat of the flow.…”