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The ability of nanofluids to improve heat transmission in thermal systems is well established. This work investigates the three-dimensional theoretical behavior of Darcy-Forchheimer nanofluids in tilted magnetohydrodynamics. In this study, the Soret effect, micro-motile organisms, thermophoresis, and heat radiation are also considered. The finite element method is used to solve the challenging mathematical model. Using graphs and tables, patterns may be seen in the velocity profiles, temperature distributions, concentrations of micro- and nano-motile organisms, and nanoparticle concentrations. The governing equations for mass, concentration, momentum, and motile microbes are derived using partial derivatives. These equations are then transformed into dimensionless ordinary differential equations utilizing appropriate similarity transformations. Permeability and viscosity have an impact on the properties of fluid flow. According to the results, improved thermophoresis and Brownian motion parameters raise the temperature profiles. In keeping with other studies, more inclined magnetohydrodynamics also accelerate heat transfer rates. The mass transfer rate at F r = 0.8 is 32.67% and 33.99% for F r = 1.4 . Thus, mass transfer increased 1.32%. The novelties of the current work are: the Buongiorno nanofluid model is utilized for 3D geometry, inclined MHD and motile microorganisms are considered for rotating nanofluid flow, effects of slip and non-slip boundary conditions are compared, and the finite element technique is used to solve the developed problem., Competing Interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper., (© 2024 The Author(s).)

The effect of ferromagnetic CaMnO 3 (CMO) addition to structural, magnetic, dielectric, and ferroelectric properties of BiFeO 3 is presented. X-ray diffraction and Raman investigation allowed the identification of a single pseudocubic perovskite structure. The magnetic measurement showed that the prepared films exhibit a ferromagnetic behavior at a low temperature with both coercive field and remnant magnetization increased with increasing CMO content. However, a deterioration of magnetization was observed at room temperature. Ferroelectric study revealed an antiferroelectric-like behavior with a pinched P - E hysteresis loop for 5% CMO doping BFO, resulting in low remnant polarization and double hysteresis loops. Whereas, high remnant polarization and coercive field with a likely square hysteresis loop are obtained for 10% CMO addition. Furthermore, a bipolar resistive switching behavior with a threshold voltage of about 1.8 V is observed for high doped film that can be linked to the ferroelectric polarization switching.

In this paper, we study an Ising-Vannimenus model on a fourth-order semi-infinite Cayley tree with one-level next-nearest-neighbor interactions. We construct the set of translation-invariant Gibbs measures corresponding to the model satisfying Kolmogorov consistency conditions. We prove the existence of the phase transition under specific conditions on the coupling constants and temperature. Numerical examples are presented to clarify the role of the added one-level interactions and results., Competing Interests: The authors declare no competing interests., (© 2023 The Authors.)

Currently, pagination clearly explains the increase in the thermophysical attributes of viscous hybrid nanofluid flow by varying morphological aspects of inducted triadic magnetic nanoparticles between two coaxially rotating disks. Copper metallic nanoparticles are inserted with three different types of metallic oxide nanoparticles: Al 2 O 3 , Ti 2 O, and Fe 3 O 4 . Single-phase simulation has been designed for the triadic hybrid nanofluids flow. The achieved expressions are transmuted by the obliging transformation technique because of dimensionless ordinary differential equations (ODEs). Runge-Kutta in collaboration with shooting procedure are implemented to achieve the solution of ODEs. The consequences of pertinent variables on associated distributions and related quantities of physical interest are elaborated in detail. It is inferred from the analysis that Cu-Al 2 O 3 metallic type hybrid nanofluids flow shows significant results as compared with the other hybrid nanoparticles. The injection phenomenon on hybrid nanofluids gives remarkable results regarding shear stress and heat flux with the induction of hybridized metallic nanoparticles. Shape and size factors have also been applied to physical quantities. The morphology of any hybrid nanoparticles is directly proportional to the thermal conductance of nanofluids. Peclet number has a significant effect on the temperature profile.