Soret\u2013Dufour impact on a three-dimensional Casson nanofluid flow with dust particles and variable characteristics in a permeable media

Naila Shaheen,Zahir Shah,Ahmed Alshehri,Poom Kumam,Muhammad Ramzan

doi:10.1038/s41598-021-93797-2

Abstract

In this study, the effects of variable characteristics are analyzed on a three-dimensional (3D) dusty Casson nanofluid flow past a deformable bidirectional surface amalgamated with chemical reaction and Arrhenius activation energy. The surface is deformable in the direction of the x-axis and y-axis. The motion of the flow is induced due to the deformation of the surface. The impression of Soret and Dufour's effects boost the transmission of heat and mass. The flow is analyzed numerically with the combined impacts of thermal radiation, momentum slip, and convective heat condition. A numerical solution for the system of the differential equations is attained by employing the bvp4c function in MATLAB. The dimensionless parameters are graphically illustrated and discussed for the involved profiles. It is perceived that on escalating the Casson fluid and porosity parameters, the velocity field declines for fluid-particle suspension. Also, for augmented activation energy and Soret number, the concentration field enhances. An opposite behavior is noticed in the thermal field for fluctuation in fluid-particle interaction parameters for fluid and dust phase. Drag force coefficient increases on escalating porosity parameter and Hartmann number. On amplifying the radiation parameter heat and mass flux augments. A comparative analysis of the present investigation with an already published work is also added to substantiate the envisioned problem.

Highlights

T∞ Fluid ambient temperature u, v, w Component of velocity up, vp, wp The velocity of dust particles x, y, z Cartesian coordinate
Numerical solution for dusty radiative Casson nanofluid flow with temperature-dependent thermal conductivity and variable molecular mass diffusion has been investigated past a deformable bidirectional surface
Transfer of heat and mass is enhanced by inspecting the impression of the Soret–Dufour factor amalgamated with chemical reaction and activation energy

Summary

Introduction

T∞ Fluid ambient temperature u, v, w Component of velocity up, vp, wp The velocity of dust particles x, y, z Cartesian coordinate. It is observed here that the temperature field of dusty granules elevates on incrementing the fluid-particle interaction parameter. Bibi et al.[4] numerically inspected time-dependent nonlinear radiative two-phase pseudoplastic fluid flow over an elongated surface.

Results

Conclusion