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Hybrid nanofluids (HNFs) have outstanding energy transfer capabilities that are comparable to mono-nanofluids. Materials had appliances in obvious fields such as heat generation, micropower generation, and solar collectors. The objective of this study is to investigate the new aspects of convective heat transfer in an electrically conducting Carreau HNF situated between two parallel discs. In addition to the presumed stretchability and rotation of the discs, physical phenomena like nonlinear radiation, viscous dissipation, Joule dissipation, and heat generation and absorption are considered. The Cu and TiO2 nanoparticles dispersed in engine oil to understand the intricate phenomenon of hybridization. The Tiwari and Das nanofluid model is employed to model the governing partial differential equations (PDEs) and then simplified using boundary layer approximation. The suitable transformations of similarity variables are defined and implemented to change the set of formulated PDEs into ordinary differential equations. The reduced system is solved semi-analytically by the homotopy analysis method. The influences of involving physical parameters on the velocity and temperature are plotted with the help of graphical figures. This study brings forth a significant contribution by uncovering novel flow features that have previously remained unexplored. By addressing a well-defined problem, our research provides valuable insights into the enhancement of thermal transport, with direct implications for diverse engineering devices such as solar collectors, heat exchangers, and microelectronics.

The significance of the study comes in the fact that it investigates complex fluid dynamics and magnetohydrodynamics phenomena, which have the potential to be applied in a variety of domains, such as physics, engineering, and materials science. Their exceptional physical significance stems from their ability to combine the unique properties of multiple substances to provide the desired functions and performance characteristics. However, in this study, the numerical studies of slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over stretching/shrinking surface were investigated. The main objective of current research is to examine the influence of solid volume percentage of cobalt ferrite, the sharply oriented magnetic field, and velocity slip factors on the behaviour of skin friction and heat transfer subjected to suction effect. Moreover, the study included an analysis of the behaviour of velocity and temperature profiles in relation to the consideration of the magnetic parameter, the solid volume percentage of cobalt ferrite, the Prandtl number, and the thermal radiation parameter. The equations that regulate the system were converted partial differential equations into ordinary differential equations by making use of the relevant similarity variables, and then, it solved with bvp4c MATLAB software. The boundary requirements are satisfied in particular parameter ranges where dual solutions are achieved. Besides, dual solutions were obtained in shrinking zone. At critical points, the two dual solutions intersect; however, after these points, no further solutions are accessible. The heat transfer rate decreased the velocity slip factor, while it increased the thermal slip factor. In addition, the thickness of the thermal boundary layer increased thermal radiation, while simultaneously reducing the Prandtl number. Besides, the temperature profile improves when the value of cobalt ferrite is higher. In summary, according to stability analysis, he first solution is stable and the second solution is unstable.

Ferromagnetic hybrid nanofluids can be employed in electronics and microelectronics cooling applications to minimise the accumulation of heat and effectively eliminate excess heat. By increasing the heat transfer rate, these nanofluids serve to maintain suitable operating temperatures and avoid device overheating. This study examines the influence of convective heating on the fluid flow of a three-dimensional ferromagnetic Casson hybrid nanofluid (composed of Mn-ZnFe2O4/CoFe2O4 nanoparticles) over a radiative Riga sensor device. The investigation takes place within a permeable medium characterised by Darcy–Forchheimer dynamics. Additionally, the analysis incorporates the assessment of the interaction of viscous dissipation. To establish a standardised set of governing partial differential equations along with their associated boundary circumstances, suitable similarity transformations are implemented. Following this, the resultant transformed ordinary differential equations are efficiently solved using the bvp5c solver. The solution process employs the shooting technique facilitated by MATLAB software. The impact of these influencing factors was carefully observed and thoroughly analysed using graphical representations. Specifically, the effects of pertinent factors on shear stress and heat transfer rates are concisely depicted in tabular formats.

The main source of thermal energy is the sun, and with the increase in solar technology, it is now being utilized in many devices such as sun-based panels, photovoltaic cells, batteries and lights, solar fabric, solar water pumping, etc. Nowadays, improvement in flight effectiveness of solar aircraft by utilizing solar energy and nanotechnology is being studied by many scientists. This article is also based on studying the effectiveness of solar aircraft based on solar energy and nanotechnology. For this purpose, few properties of heat transfer among symmetrical wings will be analysed such as porous surface, thermal radiation, convective condition and heat source/sink. It is considered that the ternary hybrid nanofluid moves through the internal side of parabolic trough solar collector. The current study examines the radiative flow of a Carreau tri-hybrid nanoliquid across a convectively heated stretching surface in porous media. Also entropy generation on Carreau fluid is analysed in this work. Energy equation is modelled through heat source/sink and thermal radiation. The well-established numeric technique BVP4c has been used to solve the system of differential equations in the form of concentration, energy and momentum. Several flow variables on fluid velocity, temperature, drag friction, the Nusselt, entropy generation and Bejan number are described in figures and tables. The main outcomes of the current investigation are that the velocity and temperature lowered with augmenting values of Weissenberg number We . Results will prove that THNF is larger in the case of HNF and NF. Further, the drag friction and thermal efficiency of Thnf ( MoS 2 + SiO 2 + Fe 3 O 4 /EG ), Hnf ( MoS 2 + SiO 2 /EG ) and Nf ( MoS 2 /EG ) are computed in percentage with numerous values. The second finding is the addition of entropy due to the increasing magnitude of radiative flow, Carreau fluid variable. When comparing the current results to the reported results, we get a close match. [ABSTRACT FROM AUTHOR]

This paper proposes a fractional-order model of glucose–insulin interaction. In Caputo's meaning, the fractional derivative is defined. This model arises in Bergman's minimal model, used to describe blood glucose and insulin metabolism, after intravenous tolerance testing. We showed that the established model has existence, uniqueness, non-negativity, and boundedness of fractional-order model solutions. The model's local and global stability was investigated. The parametric conditions under which a Hopf bifurcation occurs in the positive steady state for a proposed model are studied. Moreover, we present a numerical treatment for solving the proposed fractional model using the generalized Euler method (GEM). The model's local stability and Hopf bifurcation of the proposed model in sense of the GEM are presented. Finally, numerical simulations of the model using the Adam–Bashforth–Moulton predictor corrector scheme and the GEM have been presented to support our analytical results. [ABSTRACT FROM AUTHOR]