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Hybrid nanofluids provide several advantages over conventional fluids, including improved thermal characteristics, increased stability, customizable features, multifunctionality, and environmental advantages. Hybrid nanofluids are an appealing alternative for a variety of applications due to these benefits. This study aims to compute the non-similar solution of single-multi wall carbon nanotubes (SWCNTs-MWCNTs)-based hybrid nanofluid flow over an inclined extending surface. Heat transmission and flow are observed under the effects of quadratic convection, Darcy-Forchheimer quadratic drag forces, viscous dissipation, and non-linear thermal radiative heat flux. The velocity and thermal slip constraints are imposed at the inclined surface. For the model-based comparison, Xue, and Modified Hamilton Crosser thermal conductivity models for carbon nanotubes (CNTs) are adopted. The irreversibility of the system is also investigated using the second law of thermodynamics for the distinct CNTs-based thermal conductivity models. Non-similarity variables are adopted to convert nonlinear partial differential equations into dimensionless PDEs. Analytical modeling of non-similar systems is done by adopting non-similarity transformations up to second-level truncation, and the bvp4c technique is then used to compute the results numerically. The research found that at 75° of plate inclination, the Modified Hamilton Crosser model for CNTs outperforms the Xue model in terms of heat transfer rate. Further, entropy generation is significantly larger for the Xue model than for the Modified Hamilton Crosser model for CNTs against higher values of viscous dissipation and porosity parameters. It is also revealed that for opposing buoyancy force GR < 0, the temperature of the fluid escalates. This study possesses multiple applications including petroleum engineering, heat exchangers, environmental remediation, and biomedical applications. [ABSTRACT FROM AUTHOR]

Hybrid nanofluids generally exhibit better thermal efficiency than traditional nanofluids due to the synergistic effects of different types of nanoparticles. The combination of these nanoparticles can improve stability, thermal conductivity, and heat transfer performance. This study aims to investigate the effects of Hall current and ion slip on a three-dimensional, steady flow of hybrid nanofluid induced by a bidirectional extending surface while considering the presence of Zinc oxide (ZnO) and Gold (Au) nanoparticles dispersed in Kerosene oil and water to establish two different hybrid nanofluids. Additionally, a heat transfer analysis is conducted in the presence of Cattaneo-Christov (C-C) heat flux and variable heat source/sink. The characteristics of fluid flow are elaborated using the Tiwari and Das model, and a comparison between the two hybrid nanofluid models is presented in detail. The novelty of the envisioned model lies in the heat transfer comparison of two assumed hybrid nanofluid flows in the presence of Hall current and the ion slip over a bidirectional extended surface. The other assumed factors also boost the uniqueness of the model under consideration. To convert the flow model of partial differential equations into ordinary differential equations, relevant transformations are implemented, which are then numerically handled using the bvp4c scheme. The consequences of dimensionless quantities on flow and temperature distributions are highlighted using graphs, and the surface drag coefficients and surface heat transfer rates are also assessed and summarized. The study shows that ZnO-Au/water combination leads to higher heat transfer rates compared to ZnO-Au/Kerosene Oil. Additionally, the proposed model is validated in this research work. [ABSTRACT FROM AUTHOR]

In varied practical situations, the assumption of constant values are considered for approximations or simplifications to make computations more adaptable. Nevertheless, when there is a requirement for precision, accuracy, and exact results, the consideration of variable characteristics becomes essential. Considering the same, the article's uniqueness lies in studying variable thermal conductivity, variable viscosity, and variable mass diffusivity as governing factors. This study analyzes the movement of a three-dimensional Maxwell nanofluid across a rotating deformable disk deliberating the Hall current and Ion slip impact. In addition, the analysis seeks to boost the stability of the nanofluid flow by incorporating the impact of bio-convection. The velocity slip and convective constraints are enforced at the boundary. The Von Karman transformations are engaged, and accordingly, a numerical solution is computed. Graphical illustrations are used to highlight the significant effects of the problem. The findings revealed that the fluid velocity decreases in both the azimuthal and radial directions for different estimations of the variable viscosity and Deborah number. Additionally, the fluid velocities in the azimuthal and radial directions exhibit opposite trends for Hall current and Ion slip. The endorsement of the presented results is also provided in this study. [ABSTRACT FROM AUTHOR]

An induced magnetic field is produced owing to an electric current flowing through the conductor. The induced magnetic field and the length of the conductor are in direct proportion. The current study examines the comparison of Yamada-Ota and Xue thermal conductivity models for a mixed convective hybrid nanoliquid flow through the permeable vertical channel influenced by an induced magnetic field. The projected model is supported by the combination of thermal radiation and heat generation and multiple slip conditions imposed on the walls. The Tiwari and Das model is adopted considering engine oil as a working liquid with immersed multiwalled and single-walled carbon nanotubes (CNTs) nanoparticles. The unique combination of strength, conductivity, and other properties make CNTs a promising material for an extensive variety of applications. These governing partial differential equations undergo conversion to ordinary differential equations via the similarity transformation and are then numerically processed with the bvp4c technique of the MATLAB program. The outcomes are deliberated logically via illustrations and tables. It is perceived that fluid velocity is compromised by strengthening the induced magnetic field. Nevertheless, an opposing trend is witnessed for the enhanced values of the Prandtl number. [ABSTRACT FROM AUTHOR]

The present article focuses on the new meticulous model based on the postulate of memory-dependent derivatives to analyze the thermo-mechanical interactions inside the nano-beam-based machined resonators. Also, the size effect on dynamic responses of thermoelastic vibrations of homogeneous and isotropic nano-beam is considered. The fundamental expressions are formulated in the frame of non-local generalized thermoelasticity with paired relaxation times by operating the results of Euler-Bernoulli beam theory, non-local effect, and memory-dependent derivative. The proposed model is applied to study the nano-beam-based machined resonator subjected to the ramp-type heating and exponentially decaying time-dependent load. Closed-form solutions of the physical fields are examined by applying the Laplace transform mathematical mechanism. However, the coherence of the new thermal conductivity framework, a collation has been bestowed among the results obtained in the presence or absence of the memory-dependent derivative; also, the size effect is analyzed on the significant parameters of nano-beam such as deflection, temperature, displacement as well as bending moment. Moreover, the prominent influence of the distinct affecting parameters such as constituents of memory-dependent derivative (kernel function and time delay) and ramping time parameter with an applied load on the physical fields have been investigated with the help of quantitative results. [ABSTRACT FROM AUTHOR]

Nanofluids with immersed metallic nanoparticles possess a higher thermal conductivity. The extent of this enhancement is largely dependent on the amount of the volume fraction, composition, nanoparticles' shape, and size. The current study emphasizes nanofluid (gold-ethylene glycol) flow with different shapes past a horizontal infinite permeable conduit. The porous walls exhibit the fluid to move in or out of the channel as the walls expand or contract. The flow problem is modeled in a Cartesian coordinate system by employing the Tiwari-Das nanofluid model. Heat transfer is enhanced with the inclusion of Cattaneo–Christov combined with heat generation/absorption effect and temperature-dependent thermal conductivity. The Hamilton–Crosser model is adopted here for the cylindrical and platelet shapes nanoparticles. By invoking appropriate transformation, the equations are transmuted into ordinary differential equations and are solved numerically by employing the bvp4c approach. The influence of the key parameters is illustrated graphically. A protuberant decline is observed in the cylindrical shape nanoparticles in the thermal field on augmenting the thermal relaxation parameter. The drag force coefficient elevates on incrementing the volume fraction of nanoparticles. A significant correlation is noticed in the findings of the comparison with the existing literature. [ABSTRACT FROM AUTHOR]

Abstract The present analysis aims to compute the non-similar solution of a chemically reactive Prandtl nanofluid across an elongated surface in a permeable medium, with a uniform magnetic field applied perpendicular to the surface. The Buongiorno model is used to study the random motion and thermophoresis of the nanoliquid by considering factors such as viscous dissipation, Joule heating, and multiple slips. By using appropriate transformations and a non-similarity approach, the governing flow equations are scaled down to the second level and numerically analyzed using the MATLAB bvp4c algorithm. The profound effects of the dimensionless parameters are illustrated graphically for the velocity, temperature, and solutal profiles. The impact of drag force, thermal, and solutal transmission at the interface of the deformable sheet are inspected in tabulated form. The results of this study revealed that higher Prandtl and elastic parameters lead to an increase in fluid velocity but a rise in thermal slip parameter results in the opposite behavior. An increase in Hartmann number and porosity parameters upsurges drag force, whereas an increase in the slip parameter reduces it. The research is validated by comparing it to previous studies, and a strong correlation is observed. It is examined that the percentage (%) error with both comparative papers is between −0.0017181 and 0.0006.377 which is almost negligible. Thus, confirming the reliability and precision of the formulated problem. [ABSTRACT FROM AUTHOR]

Abstract The current research investigates the influence of the nanolayer on nanofluid flows comprising carbon nanomaterials (CNM). Two nanofluid combinations of single-wall and multi-wall carbon nanotubes submerged in water are analyzed numerically. Two-dimensional nanofluid flows over a heated wedge with uniform heat generation/absorption and viscous dissipation are assumed. The envisaged model is supported by the slip and convective constraints at the boundary of the wedge. The problem is theoretically treated as a partial differential structure with appropriate thermophysical property structures using boundary layer theory. Empirical relationships are used to illustrate the fundamental characteristics of capitalized induced carbon nanoparticles and base fluid. Dimensionless ordinary differential expressions are attained by using an enforced transformation technique. The notion of the nano-layer is also introduced in this analysis. The significance of the physical parameters on the CNM thermal and velocity distributions, Nusselt number, and skin friction coefficient, are studied and interpreted using graphical and tabular results. The effects of nanolayer thickness and particle radius on temperature profile are specifically considered. It is witnessed that the thermal conductivity (TC) of the nanofluid shows opposing behavior for nanolayer thickness and nanoparticle radius. It is also observed that the liquid velocity is on the decline for the slip and magnetic field effects. This study also includes the endorsement of the fluid model. Certainly, new approaches for CNM can be extremely beneficial in a variety of industries where the cooling process is vital. [ABSTRACT FROM AUTHOR]