Abstract

A study for MHD (magnetohydrodynamic) impacts on the rotating flow of Casson nanofluids is considered. The concentration and temperature distributions are related along with the double diffusion Cattaneo–Christov model, thermophoresis, and Brownian motion. The governing equations in the 3D form are changed into dimensionless two-dimensional form with the implementation of suitable scaling transformations. The variational finite element procedure is harnessed and coded in Matlab script to obtain the numerical solution of the coupled nonlinear partial differential problem. The variation patterns of Sherwood number, Nusselt number, skin friction coefficients, velocities, concentration, and temperature functions are computed to reveal the physical nature of this examination. It is seen that higher contributions of the magnetic force, Casson fluid, and rotational fluid parameters cause to raise the temperature like thermophoresis and Brownian motion does but causes slowing the primary as well as secondary velocities. The FEM solutions showing an excellent correlation with published results. The current study has significant applications in the biomedical, modern technologies of aerospace systems, and relevance to energy systems.

Highlights

  • Noteworthy endeavors have been made in recent years to explore nanofluids because of remarkable thermodynamic properties

  • We offer a following set of transformation variables to proceed the analysis: s η=

  • An astounding general description of variational finite elements method outlined by Reddy [51] and Jyothi et al [52] summed up the basic steps involved in the FEM

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Summary

Introduction

Noteworthy endeavors have been made in recent years to explore nanofluids because of remarkable thermodynamic properties. Hussain et al [15] examined the heat transportation in MHD non-Newtonian boundary layer flow over a shrinking sheet. The examination of liquid and problems of heat transport in the rotating frame is completely charming matter [18] It is an aftereffect of their titanic applications in the assembling of crystal development, biomechanics, turbomechanics, food industry, gas turbine rotors, filtration process, and cosmic fluid dynamics [19]. Hayat et al [34] describes the effect of Cattaneo–Christov heat flux in the stagnation point fluid flow over a nonlinear stretching sheet with fluctuating thickness. The reason for this work is to generalize the work of Adnan et al [35] through the incorporation of magnetohydrodynamics impacts with Cattaneo–Christov double diffusion for the time-dependent rotational flow of Casson nanofluids due to a horizontally stretching surface. Pictorial representations of some principal findings with a detailed discussion have been presented

Statement of the Problem
Governing Equations
Finite Element Method Solutions
Variational Formulations
Finite Element Formulations
Validation of Results
Results and Discussion
Conclusions
Methods
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