Radiation and Hall effects on a 3D flow of MHD Williamson fluid over a stretchable surface

Abstract

Magnetohydrodynamics (MHD) three-dimensional flow of an unsteady Williamson fluid on an enlarging surface with Hall current, radiation, heat source/sink, and chemical reaction is investigated in this article. The basic governing equations are transformed into a system of ordinary differential equations by using an appropriate similarity transformation. The system is deciphered using the shooting method. The properties of influential parameters such as parameters of magnetic field, Hall current, radiation, and so forth, on the flow are discussed with the help of graphs and tables. We noticed that the increase in the magnetic field reduces the velocity in x-direction and the rate of heat and mass transfer. We also acknowledged that the growing values of Hall current parameter boost the velocity in z-direction but it reduce the temperature and concentration distributions, respectively. The results of this study represent many applications in biomedical engineering and these results are helpful for further study of non-Newtonian fluids in various circumstances.

Arrhenius energy effect on the rotating flow of Casson nanofluid with convective conditions and velocity slip effects: Semi‐numerical calculations

“…Table 1 is scrutinized to show the negative value of the first derivative for gradient velocity $$-g^{\prime} (0)$$ via different values of rotation parameter $${\rm{\Omega }}$$. Comparisons have been made with the prior results and the results of existing published results by Javed et al, 24 Mushtaq et al, 26 and Hayat et al 2 The results show that the GDTM is an effective technique for the boundary layer flow of the Casson nanofluid system of differential equations. Eventually, the next subsections show the distributions of velocity, velocity gradient, temperature, and concentration against physical parameters of interest in two cases, the first in the case of base fluid $$\beta =\infty $$ and the other case in Casson fluid $$\beta =0$$.…”

“…In this direction, there are many published papers while, in this paper, a new model of Casson fluid is proposed with Arrhenius activation energy and solar radiation effect. For more details about studies of boundary layer flow and Casson fluid Hayat and colleagues 2,22–29 …”

Physical Aspects of Homogeneous-Heterogeneous Reactions on MHD Williamson Fluid Flow across a Nonlinear Stretching Curved Surface Together with Convective Boundary Conditions

“…In Williamson fluid flow problem, researchers [33][34][35][36][37][38][39] used different similarity transformations to change governing nonlinear partial differential equations into ordinary differential equations. e literature survey shows that the Williamson fluid model is more effective than other models for studying pseudoplastic fluid, but the researcher studied locally similar Williamson fluid parameter.…”

Mixed convection flows of tangent hyperbolic fluid past an isothermal wedge with entropy: A mathematical study

“…Ijaz Khan et al 5 discussed the Carreau fluid's stagnation‐point MHD flows past a stretching and shrinking cylindrical surface. Ramamoorthy and Pallavarapu 6 employed the shooting technique to investigate the unsteady chemically radiative MHD 3D Williamson fluid flow past a stretching surface, considering the effects of Hall current and heat source/sink. Alharbi et al 7 discussed the entropy generation of the MHD thermally radiative Eyring‐Powell fluid through an unstable oscillating porous stretchable surface.…”