MHD Flow of a Williamson Fluid Over an Infinite Rotating Disk with Anisotropic Slip

Abstract

This study deals with the investigation of MHD flow of Williamson fluid over an infinite rotating disk with the effects of Soret, Dufour, and anisotropic slip. The anisotropic slip and the Soret and Dufour effects are the primary features of this study, which greatly influence the flow, heat and mass transport properties. In simultaneous appearance of heat and mass transfer in a moving fluid, the mass flux generated by temperature gradients is known as the thermal-diffusion or Soret effect and the energy flux created by a composition gradient is called the diffusion-thermo or Dufour effect, however, difference in slip lengths in streamwise and spanwise directions is named as anisotropic slip. The system of nonlinear partial differential equations (PDEs), which governs the flow, heat and mass transfer characteristics, is transformed into ordinary differential equations (ODEs) with the help of von Kármán similarity transformation. A numerical solution of the complicated ODEs is carried out by a MATLAB routine bvp4c. The obtained results of velocity, temperature, concentration, and some physical quantities are displayed through graphs and tables, and their physical discussion is presented.

Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge

“…The resulting system in Eq. (11)(12)(13) is solved numerically with the help of 5 th order Runge-Kutta-Fehlberg method. Further details about the obtained numerical solutions are presented in the next section.…”

“…Further details about the obtained numerical solutions are presented in the next section. The transformed governing equations (11)(12) subjected to boundary conditions (13) are solved numerically by employing the fifth order Runge-Kutta-Fehlberg method. The influence of all pertinent parameters on flow and heat transfer are graphed and discussed in Figures (1-8).…”

“…Khan et al found numerically convergent solutions of two dimensional flows of non-Newtonian fluids along chemically reactive species [11]. Khan and Sultan calculated the influence of anisotropic slip [12]. Malik et al studied Williamson fluid model over a stretching cylinder with homogeneous-heterogeneous reactions, and work out the problem numerically by using Keller box method [13].…”

Comparative analysis on magnetohydrodynamic flow of non-Newtonian hybrid nanofluid over a stretching cylinder: Entropy generation

“…Using equation (11) in 10, we obtain the necessary formulas for the local Reynolds number Re x = xu w / υ, nondimensional skin friction coefficient, and heat transfer rates…”

Convective heat transfer in magnetohydrodynamic TiO2–CuO/ethylene glycol hybrid nanofluid flow toward stagnation point on a radially stretching disk with thermal radiation

“…Soid et al 11 examined an MHD flow due to a radially stretching/shrinking disk. Khan and Sultan 12 explored Soret‐ Dufour and anisotropic slip effects on MHD flow of Williamson fluid due to an infinite disk rotating with uniform angular velocity. Khashi'ie et al 13 considered an axisymmetric MHD flow of Cu–Al 2 O 3 /H 2 O nanofluid over a radially stretching/shrinking sheet by taking Joule heating into account.…”