Finite Element Study of MHD Impacts on the Rotating Flow of Casson Nanofluid with the Double Diffusion Cattaneo–Christov Heat Flux Model

Mathematics

Bagh Ali¹  Amir Haider²  RizwanAli Naqvi²  andSajjad Hussain³  Dildar Hussain⁴ 

[1] Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, 127 West Youyi Road, Xi’an 710072, China;Department of Intelligent Mechatronics, Sejong University, Seoul 100083, Korea;School of Aerospace and Mechanical Engineering, Nanyang Technological University, Singapore 639798, Singapore;School of Computational Sciences, Korea Institute for Advanced Study (KIAS), 85 Hoegiro Dongdaemun-gu, Seoul 02455, Korea;

关键词: MHD;    nanofluid;    rotating casson fluid;    finite element method;    Cattaneo–Christov double diffusion;    heat transfer;   

DOI  :  10.3390/math8091555

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown