Machine learning intelligent based hydromagnetic thermal transport under Soret and Dufour effects in convergent/divergent channels: a hybrid evolutionary numerical algorithm.

In this research, we analyze the complex dynamics of hydro-magnetic flow and heat transport under Sorent and Dofour effects within wedge-shaped converging and diverging channels emphasizing its critical role in conventional system design, high-performance thermal equipment. We utilized artificial neural networks (ANNs) to investigation the dynamics of the problem. Our study centers on unraveling the intricacies of energy transport and entropy production arising from the pressure-driven flow of a non-Newtonian fluid within both convergent and divergent channel. The weights of ANN based fitness function ranging from - 10 to 10. To optimize the weights and biases of artificial neural networks (ANNs), employ a hybridization of advanced evolutionary optimization algorithms, specifically the artificial bee colony (ABC) optimization integrated with neural network algorithms (NNA). This approach allows us to identify and fine-tune the optimal weights within the neural network, enabling accurate prediction. We compare our results against the established different analytical and numerical methods to assess the effectiveness of our approach. The methodology undergoes a rigorous evaluation, encompassing multiple independent runs to ensure the robustness and reliability of our findings. Additionally, we conduct a comprehensive analysis that includes metrics such as mean squared error, minimum values, maximum values, average values, and standard deviation over these multiple independent runs. The minimum fitness function value is 1.32 × 10-8 computed across these multiple runs. The absolute error, between the HAM and machine learning approach addressed ranging from 3.55 × 10-7 to 1.90 × 10-8. This multifaceted evaluation ensures a thorough understanding of the performance and variability of our proposed approach, ultimately contributing to our understanding of entropy management in non-uniform channel flows, with valuable implications for diverse engineering applications.

Entropy generation in a ciliary flow of an Eyring-Powell ternary hybrid nanofluid through a channel with electroosmosis and mixed convection.

Drug delivery systems, where the nanofluid flow with electroosmosis and mixed convection can help in efficient and targeted drug delivery to specific cells or organs, could benefit from understanding the behavior of nanofluids in biological systems. In current work, authors have studied the theoretical model of two-dimensional ciliary flow of blood-based (Eyring-Powell) nanofluid model with the insertion of ternary hybrid nanoparticles along with the effects of electroosmosis, magnetohydrodynamics, thermal radiations, and mixed convection. Moreover, the features of entropy generation are also taken into consideration. The system is modeled in a wave frame with the approximations of large wave number and neglecting turbulence effects. The problem is solved numerically by using the shooting method with the assistance of computational software "Mathematica" for solving the governing equation. According to the temperature curves, the temperature will increase as the Hartman number, fluid factor, ohmic heating, and cilia length increase. It is also disclosed that ternary hybrid nanoparticles result in a change in flow rate when other problem parameters are varied, and the same is true for temperature graphs. Engineers and scientists can make better use of nanofluid-based cooling systems in electronics, automobiles, and industrial processes with the aid of the study's findings.

Electroosmotic flow of cobalt-ferrite nanoparticles in water and ethylene glycol through a ciliary annulus: A biomedical application.

Unique magnetic characteristics of cobalt-ferrite nanoparticles make them suitable for biological imaging and therapeutic applications. Understanding their activity in nanofluids via the ciliary annulus could lead to better contrast agents for magnetic resonance imaging and improved cancer therapy and other medical therapies. This article provides a comprehensive analysis of the theoretical conclusions regarding the transport of a nanofluid by electroosmosis across a ciliary annulus. The nanofluid consists of cobalt-ferrite nanoparticles (CoFe2 O4 ), water (H2 O), and ethylene glycol (C2 H6 O2 ). As part of the investigation into constructing a physical model, mathematical analysis is performed based on the conservation of mass, momentum, and energy. Dimension-free analysis and mathematical constraints are utilized to learn more about the system. By generating differential equations and including suitable boundary conditions, one can obtain exact solutions, which can then be visually inspected. Recent studies have demonstrated an inverse relationship between flow velocity and cilia length, zeta potential, and Helmholtz-Smoluchowski velocity. The streamlines show that the growth of the trapping boluses is affected by several factors, including the nanoparticles' volume fraction, the cilia's length, the amplitude ratio, the eccentricity, and the zeta potential. These results not only shed light on how nanofluids move, but they also have potential applications in microfluidics, heat transfer, and biomedical engineering.

An entropy model for Carreau nanofluid ciliary flow with electroosmosis and thermal radiations: A numerical study.

In order to localize heat production and drug activation, it is possible for drug delivery to make use of nanofluids containing thermal radiation. By limiting the amount of medication that is administered to healthy tissues, this approach increases drug distribution. We explore the effect that thermal radiation has on the flow of a ternary-hybrid nanofluid composed of titanium oxide (TiO2 ), silica (SiO2 ), and aluminum oxide (AI2 O3 ). The base liquid that we use for our Carreau constitutive model is blood. Entropy and electroosmosis are both taken into account when the conduit is connected to the battery terminals outside. Following the step of translating the observation model into a wave frame, the physical restrictions of the lubrication theory are used in order to provide a more complete explanation for the wave occurrences. In this work, shooting is used to simulate boundary value issues that are solved with Mathematica NDSolve. The production of the least amount of entropy and a rise in thermodynamic efficiency are achieved by the motion of cilia and elastic electroosmotic pumping. It is also observed that heat transfer is proportional to the length of cilia. Nusselt number is increased by large cilia but skin friction got a reduction.

Three dimensional study for entropy optimization in nanofluid flow through a compliant curved duct: A drug delivery and therapy application.

This research explores the three-dimensional characteristics of nanofluid dynamics within curved ducts, in contrast to earlier studies that mainly focus on two-dimensional flow. By using this ground-breaking method, we can capture a more accurate depiction of fluid behavior that complies with the intricate duct design. In this study, we investigate the three dimensional flow and entropic analysis of peristaltic nanofluid flows in a flexible curved duct, comparing the effects of silver and copper nanoparticles. To obtain accurate results, we assume physical constraints such as long wavelength and low Reynolds number and used a perturbation technique through NDSolve commands for finding exact solutions of the obtained differential equations. A comprehensive error analysis is provided through residual error table and figures to estimate a suitable range of the physical factors. Our findings indicate that the velocity of the nanofluid is directly proportional to the elasticity of the walls, while the mass per unit volume inversely affects velocity. We show that reducing the aspect ratio of the duct rectangular section can decrease entropy generation by raising magnitudes of damping force exerted by to the flexible walls of the enclosure. Additionally, using a larger height of the channel than the breadth can reduce stream boluses. The practical implications of this study extend beyond turbines and endoscopy to biomedical processes such as drug delivery and microfluidic systems.

Electroosmosis-modulated bio-flow of nanofluid through a rectangular peristaltic pump induced by complex traveling wave with zeta potential and heat source.

Electrokineticmicroperistaltic pumps are important biomechanical devices that help in targeted drugging of sick body parts. This article is focused on mathematical modeling and analysis of some important aspect of such flows in a rectangular duct with wall properties. Effects of zeta potential, heat source, and deby length are also studied. Carbon nanotubes (CNTs) in the Newtonian base fluid are assumed as drugging material. A comparison of single-walled CNTs and multiwalled CNTs is also presented. It is considered that the walls are flexible and encapsulating the region with limited permeability. The defined flow problem is modeled and analyzed analytically for the transport of CNT-water nanofluid. It is accepted that the flow is steady, nonturbulent, and propagating waves do have a considerably longer wavelength when compared to amplitude. The conditions and assumptions lead to a model of coupled partial differential equations of order two. The exact results using the eigenfunction expansion method are procured and shown accordingly. The predictions about the behavior of important parameters are displayed for single-walled CNT and multiwalled CNT-water nanofluidic behavior-using figures. The impact of sundry parametersis are analyzed. The application of the current study involved a transporting/targeted drug delivery system using peristaltic micropumps and magnetic fields in pharmacological engineering.

MHD peristaltic flow of nanofluid in a vertical channel with multiple slip features: an application to chyme movement.

The mathematical modelling of biological fluids is of utmost importance due to its applications in various fields of medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. The current paper emphasizes on the MHD peristalsis of Jeffrey nanofluid flowing through a vertical channel when subjected to the combined heat/mass transportation. The equations for the current flow scenario are developed with relevant assumptions for which the perturbation technique is followed to simulate the solution. The expressions of velocity, temperature and concentration are obtained, and the solutions of skin-friction coefficient, Nusselt number and Sherwood number at the wall are acquired. Further, the influence of relevant parameters on various physical quantities for both non-Newtonian Jeffery and viscous fluid is graphically analyzed. The outcomes are deliberated in detail Further, it is renowned that the current study has many biomechanical applications such as the movement of chyme motion in the gastrointestinal tract and during the surgery to take control of the flow of blood by adjusting the magnetic field intensity.