Numerical Simulation of Williamson Nanofluid Flow over an Inclined Surface: Keller Box Analysis

Abstract

The study of nanofluids has become a key research area in mathematics, physics, engineering, and materials science. Nowadays, nanofluids are widely used in many industrial applications to improve thermophysical properties such as thermal conductivity, thermal diffusivity, convective heat transfer, and viscosity. This article discusses the effects of heat generation/absorption and chemical reaction on magnetohydrodynamics (MHD) flow of Williamson nanofluid over an inclined stretching surface. The impact of Williamson factor on velocity field is investigated numerically using Keller box analysis (KBA). Suitable similarity transformations are used to recover ordinary differential equations (ODEs) from the boundary flow equations. These ordinary differential equations are addressed numerically. The numerical computations revealed that energy and species exchange decrease with rising values of magnetic field. Moreover, it is found that increasing the chemical reaction parameter increases the Nusselt number and decreases skin friction. Further, the effect of Lewis parameter diminishes energy transport rate. In the same vein, it is also observed that increasing the inclination can enhance skin friction, while the opposite occurred for the energy and species transport rate. As given numerical computations demonstrate, our results are in reasonable agreement with the reported earlier studies.

Numerical simulation of Dufour and Soret impacts on MHD Williamson nanofluid flow through an inclined surface

“…$${\beta }_{t}={nx},{\beta }_{c}={n}_{1}x$$ when $${n}_{1}$$ and $$n$$ represents constants. Substituting these into the parameters $${{Gr}}_{x}$$ and $${{Gc}}_{x}$$ we get $${Gr}=\frac{{gn}({T}_{w}-{T}_{\infty })}{{c}^{2}}$$ and $${Gc}=\frac{g{n}_{1}({C}_{w}-{C}_{\infty })}{{c}^{2}}$$ 11 …”

“…Arafa et al 8 investigated the movement of light flow characteristics of nanofluids with non-Newtonian properties in permeable enclosures that are inclined using a fractional derivative of time. Rafique et al [9][10][11] calculated the heat and momentum of the Keller-box scheme to calculate the energy and mass transfer of the microscopic nanoliquid along an inclined surface using the Keller-box approach. Veera Krishna et al 12 examined the consequences of Hall current and magnetic field on the natural flow of convection of a micropolar fluid with an inclined surface passing through a porous media.…”

Intelligent computing technique to study heat and mass transport of Casson nanofluidic flow model on a nonlinear slanted extending sheet

“…Researchers have shown interest and have studied the behavior of nanofluid due to its applications such as engineering, food preservation, biomaterial, and photodynamic [20]. In recent times, numerous scientists have studied nanofluid flow with different results [21][22][23][24][25][26]. This study examines the behavior of nanofluid between two concentric cylinders that are continuously being pulled.…”

Numerical Keller Box Method for Micropolar Casson-Nanofluid Flow with Double Stratification and Magnetic Effects

“…Nazar et al [3] studied the mixed convection influences for cylindrical geometry. Furthermore, Rafique et al [4] explored mixed convection along with species transport rates. Additionally, Alotaibi and Rafique [5] conducted a numerical investigation into the effects of mixed convection and microrotation.…”