Flow of three‐dimensional radiative Williamson fluid over an inclined stretching sheet with Hall current and nth‐order chemical reaction

Abstract

In the current communication, three‐dimensional Williamson fluid flow past a bidirectional inclined stretching plate with novel Hall current, nonuniform heat source/sink, and nth‐order chemical reaction features are investigated. Rosseland's diffusion model is defined for the radiation heat transfer. The nonlinear governing derivative equations satisfying the flow are transmuted to the coupled derivative equations by employing the local similarity quantities and then solved numerically through the Runge–Kutta–Fehlberg method utilizing the shooting quadrature. An inclusive analysis is reported via graphs for the flow rate field, temperature, and concentration distributions for different evolving terms of immense concern. Wall dragging effect and wall heat gradient and wall concentration gradient have been examined, plotted, and described. The detailed geometry reveals that dimensionless velocity field is monotonically rising as the Hall parameter rises. The chemical reaction concentration for the Williamson fluid is enhanced with expanding values of the magnetic field parameter. Transitional values of wall stress components upturn with an increase in Hall parameter while the Williamson term is boosted. Nusselt number is reduced as the Williamson term rises and the Sherwood number enhances with a rising chemical reaction term. The results are verified for limiting cases by comparing with various investigations and found to have excellent accuracy.

Influences of Soret and Dufour numbers on mixed convective and chemically reactive Casson fluids flow towards an inclined flat plate

“…In this study, they obtained that the magnetic field reduced the velocity of the nanofluid. Shamshuddin et al 6 described the significance of Hall current over the flow of 3D non‐Newtonian radiative Williamson fluid above the stretchable surface. For the numerical solution of their problem, they used Runge–Kutta (RK) scheme on the higher‐order ordinary differential equations (ODEs).…”

Radiative magneto‐thermogravitational flow in a porous square cavity with viscous heating and Hall current effects: A numerical study of ψ–v scheme

“…The above studies on MHD convection in enclosures generally neglected the inclusion of porous media. Although porous media enclosure flows have been studied previously in the presence of MHD effects, [23][24][25][26][27][28][29] they have not considered the simultaneous presence of Hall currents, viscous dissipation, and radiative transfer. The present numerical investigation is focused on Hall current, viscous dissipation, and thermal radiation effects on laminar 2D MHD flow in a square enclosure embedded with porous.…”

Chemical reaction and thermal radiation effects on magnetohydrodynamics flow of Casson–Williamson nanofluid over a porous stretching surface

“…Further, Kumar et al 22 also examined the transverse magnetic field phenomenon in Reiner–Philippoff fluids. Shamshuddin et al 23,24 evaluated numerically the induced magnetic field effect in inclined and exponentially stretching sheets with different aspects. Eldesoky et al 25 established the joint magnetic field and heat transport effects through wavy tubes considering particulate fluids.…”