The impact of nonlinear thermal radiations rotating with the augmentation of heat transfer flow of time-dependent single-walled carbon nanotubes is investigated. Nanofluid flow is induced by a shrinking sheet within the rotating system. The impact of viscous dissipation is taken into account. Nanofluid flow is assumed to be electrically conducting. Similarity transformations are applied to transform PDEs (partial differential equations) into ODEs (ordinary differential equations). Transformed equations are solved by the homotopy analysis method (HAM). The radiative source term is involved in the energy equation. For entropy generation, the second law of thermodynamics is applied. The Bejan number represents the current investigation of non-dimensional entropy generation due to heat transfer and fluid friction. The results obtained indicate that the thickness of the boundary layer decreases for greater values of the rotation parameter. Moreover, the unsteadiness parameter decreases the temperature profile and increases the velocity field. Skin friction and the Nusselt number are also physically and numerically analyzed.
In this paper, we analyzed Darcy‐Forchheimer three‐dimensional bioconvection Casson nanofluid flow due to a rotating disk with entropy generation. The flow is considered with the outcome of thermal radiation and Arrhenius activation energy. For nondimensionality, we utilized the similarity transformations to deal with the problem equations. The homotopy analysis method is applied for the re‐creation of the modeled equations. The biothermal framework is investigated for all the implanted parameters whose impacts are observed through various graphs. There exist intriguing outcomes due to the impacts of various parameters on various distributions. Nanoparticles' concentration diminishes with expansion of the Schmidt parameter and Brownian motion constraint, whereas motile gyrotactic microorganisms' distribution diminishes with expansion of bioconvection Peclet and Lewis numbers. The entropy generation rate increases with the increase of the Brinkman number, Casson fluid parameters, and magnetic parameters. Enrichment in the Reynolds number (Rer) leads to a decrease in the entropy generation rate. Moreover, Bejan number reduces with escalating values of the magnetic parameter, Brinkman number, and Casson fluid parameters. Bejan number (Be) is higher for larger Reynolds numbers and temperature difference parameter.
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