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Cross diffusion and higher order chemical reaction effects on hydromagnetic copper-water nanofluid flow over a rotating cone with porous medium

Rushi Kumar, B; Bég, O Anwar; Bég, Tasveer A


B Rushi Kumar

Tasveer A Bég


Spin coating of engineering components with advanced functional nanomaterials which respond to magnetic fields is growing. Motivated by exploring the fluid dynamics of such processes, a mathematical model is developed for chemically reactive Cu−H2O magnetohydrodynamic (MHD) nanofluid swirl coating flow on a revolving vertical electrically insulated cone adjacent to a porous medium under a radial static magnetic field. Heat and mass transfer is included and Dufour and Soret cross diffusion effects are also incorporated in the model. Thermal and solutal buoyancy forces are additionally included. The Tiwari-Das nanoscale model has been used. To simulate chemical reaction of the diffusing species encountered in manufacturing processes, a higher order chemical reaction formulation is also featured. Via suitable scaling transformations, the governing nonlinear coupled partial differential conservation equations and associated boundary conditions are reformulated as a nonlinear ordinary differential boundary value problem. MATLAB-based shooting quadrature with a Runge-Kutta method is deployed to solve the emerging system. Concentration, temperature, velocity variations for various non-dimensional flow parameters have been visualized and analysed. In addition, key wall characteristics i. e. radial and circumferential skin friction, Nusselt number, Sherwood number have also been computed. Validation with earlier studies is also included. The simulations indicate that when compared to a lower order chemical reaction, a higher order chemical reaction allows a greater rate of heat and mass transfer at the cone surface. Increasing Dufour (diffuso-thermal) and Soret number generally reduce radial and circumferential skin friction and also Nusselt number whereas they elevate Sherwood number. Both skin friction components are also suppressed with increasing Richardson number. Strong deceleration in the tangential and circumferential velocity components is induced with greater magnetic field.


Rushi Kumar, B., Bég, O. A., & Bég, T. A. (2023). Cross diffusion and higher order chemical reaction effects on hydromagnetic copper-water nanofluid flow over a rotating cone with porous medium. Journal of Multiscale Modeling,

Journal Article Type Article
Acceptance Date Jul 20, 2023
Online Publication Date Sep 26, 2023
Publication Date Sep 26, 2023
Deposit Date Jul 29, 2023
Publicly Available Date Sep 27, 2024
Journal Journal of Multiscale Modeling
Print ISSN 1756-9737
Publisher World Scientific Publishing
Peer Reviewed Peer Reviewed
Keywords Higher order chemical reaction, Porous medium, magnetic nanofluid, swirl nano-coating manufacturing; vertical cone; Dufour and Soret effects; Sherwood number 2
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