Thermal performance of Joule heating in radiative Eyring-Powell nanofluid with Arrhenius activation energy and gyrotactic motile microorganisms

To report the challenges and advance of heat transport performance, we aim to scrutinize the motile microbe's phenomenon in mixed convection Carreau nanofluid considering the properties of Soret and Dufour, non‐uniform heat sink/source, radiation and magnetohydrodynamic (MHD). The new mass flux and convective phenomenon are also considered. The inclusion of motile microbe phenomenon in conjunction with Soret and Dufour effects, non‐uniform heat sink/source, radiation, and MHD presents a multifaceted approach to studying heat transport in Carreau nanofluids. By integrating these factors, we gain insights into the complex interplay between thermal conductivity variations, convective heat transfer, and fluid flow behavior. This comprehensive analysis allows for a deeper understanding of how various mechanisms influence heat transport performance, offering valuable insights for optimizing nanofluid‐based heat transfer systems and enhancing their efficiency. The highly nonlinear and coupled partial differential equations (PDE) are transformed using similarity conversion and attained required ordinary differential equations (ODE). The bvp4c algorithm works to derive the solutions subjected to appropriate norms and physical boundary conditions. Furthermore, an assessment made with the obtainable works shows worthy outcomes. The controlling variables influence on the microorganisms, concentration, temperature, and velocity fields are scrutinized graphically for shear thinning and thickening phenomena. Skin frictions, motile density number, and Nusselt numbers of tables are prepared. Additionally, the cases of shear thinning/thickening are discussed in tables. The radiation and Biot factors exaggerate the temperature field; however, Brownian factor decay the fluid concentration. The bioconvection Rayleigh factor decreases and mixed convection factor increases the velocity field. Furthermore, the bioconvection Lewis factor declines the motile microbe's field. The graphs of controlling factors for followings values are plotted for accurate convergence that is, , , , , , , , ,

Numerical simulation of bio‐convection radiative heat transport flow of MHD Carreau nanofluid

Irfan,

Muhammad

2024

A revised double diffusion Cattaneo–Christov bioconvective model for unsteady Williamson nanofluid due to Riga surface with additional nonlinear thermal sources

Aziz,

Khan,

Adnan

et al. 2024

Current analysis presents the unsteady two‐dimensional flow of Williamson nanofluid with suspension of microorganisms due to stretched Riga surface with porous medium. The applications of external heat source/sink with non‐uniform relations are suggested. Furthermore, activation energy and nonlinear radiative effects are encountered. The extension in energy equation is subject to the implications of famous Cattaneo–Christov model. The problem is simplified with help of dimensionless quantities. The analytical simulations of formulated problem have been performed with help of built‐in bvp4c numerical scheme. The physical aspects of problem are presented for various flow parameters. It is claimed that velocity profile boosted due to modified Hartmann parameter while declining change in velocity profile is noted for Williamson fluid constant. The temperature field enhances for non‐uniform heat source constants. Current results convey applications in heat transfer enhancement, solar energy, extrusion processes, automobile industries, fertilizers, and so forth.

Modeling heat‐mass transport for MHD bio‐convection Carreau nanofluid with Joule heating containing both gyrotactic microbes and nanoparticles diffusion

Irfan,

Anwar,

Alghamdi

et al. 2024

The study of a bio‐convection is a natural progression that happens as microbes transport unsystematically in single‐celled or colony‐like environments; as they live ubiquitously, individuals, as in rodents, and plant forms. They're so much denser than liquid, owing to which, microbes develop a basis of bio‐convection. Gyrotactic microbes are individuals that dip up‐stream in contradiction of gravity in motionless liquid, producing the higher portion of the deferment to be thicker than the lesser part. Bioconvection's significance can be realized in a diversity of bio‐microsystems, for instance, bio‐tech allied to mass transport, biofuels, enzyme biosensors and fraternization. Together with nanofluids, a mixture of bioconvective is working to progress the structure's thermal enactment which has uses in diverse scientific structures. Recent study has related the progress of extrusion features, radiative heat progression and biofuel fabrication to the use of nanoparticles. The essential plans of the modern scrutinization are to examine the magneto bioconvection flow of nonlinear radiative Carreau fluid persuades by the nanofluid and Joule heating. Additionally, Convective conditions of heat, mass and motile microorganism with heat sink/source and chemical reaction have been explored. By means of similarity alteration to alter the nonlinear partial differential equations into nonlinear Ordinary differential equations (ODE). The solutions of subjected equations have been attained by exploiting the bvp4c algorithm. Homotopic algorithm has been also executed for comparison of bvp4c results and former studies. The impacts of relatable factors on diverse fields are sketched in graphic form. The study explores temperature field enhancement for thermo Biot and Brownian motion factors. Furthermore, the fluid concentration exaggerates for mass Biot and chemical reaction factor; however, declines for Brownian motion factor. The motile density field decays with the rising values for Peclet number and intensifies for motile density Biot factor. The comparison tables of current work and previous work also have been presented for the authentication of work with two different techniques.