Thermodynamics of second-grade nanofluid over a stretchable rotating porous disk subject to Hall current and cubic autocatalysis chemical reactions

Abstract

Homogeneous–heterogeneous chemical reactions for second-grade nanofluid and gyrotactic microorganisms in a rotating system with the effects of magnetic fields and thermal radiation are examined. The boundary layer equations of the problem in a non-dimensional form are evaluated by a strong technique, namely, the homotopy analysis method (HAM). The rates of flow, heat, mass, and gyrotactic microorganism motion are obtained for the augmentations in the pertinent parameters. The graphical pictures of the results are described by the physical significance. The Hall current effect decreases the azimuthal velocity, the axial velocity increases with the injection of mass, the Biot number leads to enhanced heat transfer and gyrotactic microorganisms, the concentration diffusion rate decreases with the Peclet number, and the concentration of the chemical reaction reduces with the Schmidt number. Excellent agreement of the present work is found with the previously published work. The present study has applications in the hydromagnetic lubrication, semiconductor crystal growth control, austrophysical plasmas, magnetic storage disks, computer storage devices, care and maintenance of turbine engines, aeronautical, mechanical, and architectural engineering, metallurgy, polymer industry, hydromagnetic flows in porous media, and food processing and preservation processes.

Accessing the thermodynamics of Walter‐B fluid with magnetic dipole effect past a curved stretching surface

“…is the average swimming velocity vector of the oxytactic microorganisms in which b 1 is the chemotaxis constant and W 𝑐𝑒 is the maximum cell swimming speed [77,80], 𝑇 is the temperature and 𝑁 is the gyrotactic microorganisms concentration. 𝑇 ∞ and 𝑁 ∞ stand for the temperature and motile microorganisms concentration density away from the surface, respectively, and h 1 denotes the convective heat transfer coefficient.…”

“…The present problem is modeled for the curved surface under the effect of magnetic dipole in the presence of gyrotactic microorganisms and cubic autocatalysis chemical reactions in Walter-B fluid which is solved through the analytical method namely homotopy analysis method [69][70][71][72][73][74][75][76][77][78][79][80][81].…”

Bioconvective peristaltic transport of hydromagnetic Sutterby nanofluid through a chemically activated porous channel with gyrotactic microorganisms

“…The magnetohydrodynamic unsteady flow of Casson liquid past a stretching surface with chemical reaction effects was investigated by Nandeppanavar et al 31 Khan et al 32 examined the bioconvective flow of Casson nanofluid on a stretching cylinder in the presence of homogeneous and heterogeneous chemical reactions. Further, as a result of their widespread usage, researchers [33][34][35][36][37] have devoted an extensive amount of time discussing the fluid flow problems brought on by chemical reactions and other mass transfer effects.…”

Performance of variable characteristics on MHD Jeffery nanofluid over spinning disk with Cattaneo‐Christov heat flux and microswimmers

“…Imtiaz et al [23] performed the analysis of slip flow due to a stretchable rotating disk having variable thickness in the presence of magnetohydrodynamics and HAM solution. Few other studies are exist in the references [24][25][26].…”