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Heat transfer innovation is essential in modern society because thermal management systems need effective heating and cooling processes. It is also an essential component in the vehicle industry and other types of transportation, in addition to automobile industry, aviation technology, the computer industry, and the manufacturing industry. By the inspiration of importance of magnetohydrodynamic hybrid nanofluid over a stretching cylinder with the influence of Williamson fluid and porous medium is examined in this current study. To convert the PDEs into ODEs, suitable self-similarity transformation is used. After applying transformations, for graphical purpose we have used the bvp5c technique. The impact of active parameters affecting the fluid’s capacity to transfer significance is demonstrate in graphs and tables. In the result section we noticed on the velocity outlines decreased for increasing M parameter. The Cf and Nu increased for larger values of the M and curvature parameters. Additional properties of M and Rd parameter inputs result in improved temperature profiles.

Saving energy, shortening processing times, maximizing thermal efficiency, and lengthening the life of industrial equipment are all possible outcomes of heating and cooling optimization. In recent years, there has been a rise in interest regarding the development of high-efficiency thermal systems for the purpose of enhancing heat and mass movement. This study presents an investigation on the non-linear flow of a hybrid nanofluid comprising of Multi Walled Carbon Nanotubes (MWCNTs) and Single Walled Carbon Nanotubes (SWCNTs) over an extended surface, considering the effects of Magnetohydrodynamics (MHD) and porosity, with engine oil serving as the base fluid. Also, radiation and Darcy-Forchheimer flow is considered. The problem of regulating flow is transformed into ordinary differential equations (ODEs) by employing similarity variables. The Midrich Scheme is then used to implement a numerical solution to these equations in the program Maple. Through visual representations of fluid velocities and temperatures, the inquiry addresses several important factors, including magnetic parameters, porosity parameters, radiation parameters, Eckert numbers, inertia coefficients, and Biot numbers. The research has important implications in a number of real-world contexts. Due to its exceptional characteristics, such as reduced erosion, reduced compression drops difficulties, and greatly increased heat transfer rates, hybrid nanofluids are frequently used in heat exchangers. For instance, various cooling devices such as electromagnetic cooling systems, as well as heat exchangers including condensers, boilers, chillers, air conditioners, evaporators, coil preheaters, and radiators. Furthermore, it has the potential to be employed in pharmaceutical businesses and the field of biomedical nanoscience.

The advancement of aircraft technology has presented manufacturers with new criteria and problems for the functioning of their devices. It is essential that, in order to guarantee the secure operation of aerospace machinery, the failure mechanisms be identified and the operational durability of critical structural components be improved as quickly as possible. New aviation materials have been developed in modern years. In an aviation engine, engine oil lubricates, cools, washes, maintains against rust, decreases sound, and accelerates. Most important is lubrication. All mechanical components would burn out if not maintained. The aim of this work is to minimize costs by extending the operational life of aircraft components (mechanical and motor parts) and enhancing fuel mileage and flying distance. Based on the importance of the inspiration on magnetohydrodynamic Aluminum Oxide-Cobalt hybrid nanofluid flow over a stretching surface (SS) in the existence of porous medium, and thermal radiation are investigated. In this model we used Engine oil mixed with Aluminum Oxide and Cobalt nanoparticles. By using the suitable self-similarity variables, the PDE is transformed into ODEs. After then, the dimensionless equations are solved by using the Maple built in BVP Midrich scheme. Graphs and tables explain how the operational factors affect fluid flow efficiency. Compared to nanofluids, hybrid nanofluids have a better heat transfer rate.

Over the last few decades, many kinds of advanced substances that are acceptable for specific aerospace applications have been developed. An aircraft engine has a number of duties that are performed by kerosene oil. These responsibilities include oiling, air conditioning, servicing, preventing corrosion and reducing loudness. Maintenance is a matter of extreme importance. Without maintenance, it is only inevitable that any moving component might have the capacity to run away quickly. This project’s efforts are focused on reducing expenditures by extending the usable lifetimes of aviation components. Additionally, the initiative aims to improve fuel efficiency, load capacity and travel distance. The importance of the heat transfer investigation on MHD dusty hybrid nanofluid across a porous stretching sheet with entropy generation and thermal radiation is examined in the current research. We used the self-similarity transformation to transform the partial differential equation into ordinary differential equations. After applying transformations, for graphical purposes we have used the Bvp4c technique in MATLAB solver. The effect of active important parameters affecting the fluid’s capacity to transfer importance is shown in graphs and tables. For higher values of the magnetic field parameter, the velocity outline decreased, while the opposite nature was noticed in the energy profile. Based on our investigation, we found that mixed nanofluids are more effective in transferring energy carriers compared to dusty tiny fluids. [ABSTRACT FROM AUTHOR]

The utilization of a ternary hybrid nanofluid, a recent development in the realm of nanofluids, can result in improved heat transfer. In the ongoing study, a ternary hybrid nanofluid flow is utilized, and it is carried out atop a porous spinning disc, which is exposed to a magnetic field, heat generation, thermal radiation, and Casson fluid. In this study, Blood/Water are taken as base fluids and (Ag–Au–Al2O3) are considered as a ternary hybrid nanoparticle. Nanoparticles made of gold and silver are put to use in a vast number of industries and fields, including nanotechnology and medicine. As a result of surface effects and quantum effects, these precious metals exhibit unique features in nanoform that play a vital role in with optical, magnetic, chemical, and mechanical behavior. Al2O3 unique optical, physical and biochemical qualities make it worthwhile for numerous uses, including nanophotonic, catalysis and the fabrication of high-energy composites. A set of relevant similarity transformations is used to generate non-dimensional forms of controlling paired nonlinear Partial Differential Equations (PDEs). MATLAB is used to perform a numerical solution with ODE45. In addition, the velocity outline decreases, and the temperature profile increases slightly before decreasing over a revolving disk when the values of magnetic parameters are increased. The distribution and radiant heat components heat up as the level gets higher. Aim and objectives of the study: The aim of this study is to analyze the Comprehensive Scrutinization of Ternary hybrid and Casson flow in a conducting porous rotating disk with internal heating. The primary objective of this analysis is to increase awareness of the impending energy crisis among those working in the industrial and technological sectors. Ternary nanoparticles (NPs) have a wide range of applications, which lends credence to the developed model. For example, Al2O3 can be used in a variety of ways that benefit society, it is used in water purification to remove water from the gas streams and extend people's lives. [ABSTRACT FROM AUTHOR]

The blood flow over a stenotic artery is important investigation in mathematical fluid mechanics due to its significance in biomedical sciences. The present investigation aims to examine how nanoparticles affect circulation in a stenotic artery. We examine the significance of magnetized Casson nanofluid flow over a stenotic artery under consideration of the mathematical flow problem. By using the suitable self-similarity variables, the partial differential equation is transformed into ordinary differential equations. Then, the non-dimensional equations are solved using the MATLAB software in the Bvp5c scheme. By increasing the magnetic properties of the circulatory system's cells, which is a scheme that was previously utilized by raising the magnetic field parameter, there was a predictable decrease in the blood flow. Covering the stenosed artery with a greater amount of copper nanoparticles improves its heat transmission efficiency. The present technique may help distribute medications throughout the circulatory system. [ABSTRACT FROM AUTHOR]

The influence of boundary layer flow of heat transfer analysis on hybrid nanofluid across an extended cylinder is the main focus of the current research. In addition, the impressions of magnetohydrodynamic, porous medium and thermal radiation are part of this investigation. Arrogate similarity variables are employed to transform the governing modelled partial differential equations into a couple of highly nonlinear ordinary differential equations. A numerical approach based on the BVP Midrich scheme in MAPLE solver is employed for solution of the set of resulting ordinary differential equations and obtained results are compared with existing literature. The effect of active important physical parameters like Magnetic Field, Porosity parameter, Eckert number, Prandtl number and thermal radiation parameters on dimensionless velocity and energy fields are employed via graphs and tables. The velocity profile decreased by about 65% when the magnetic field parameter values increases from 0.5 to 1.5. On the other hand increased by 70% on energy profile. The energy profile enhanced by about 62% when the Radiation parameter values increases from 1.0 < Rd < 3.0. The current model may be applicable in real life practical implications of employing Engine oil-SWCNTs-MWCNTs-TiO2 nanofluids on cylinders encompass enhanced heat transfer efficiency, and extended component lifespan, energy savings, and environmental benefits. This kind of theoretical analysis may be used in daily life applications, such as engineering and automobile industries. [ABSTRACT FROM AUTHOR]

The present investigation focused on the influence of magnetohydrodynamic Gold-Fe3O4 hybrid nanofluid flow over a stretching surface in the presence of a porous medium and linear thermal radiation. This article demonstrates a novel method for implementing an intelligent computational solution by using a multilayer perception (MLP) feed-forward back-propagation artificial neural network (ANN) controlled by the Levenberg-Marquard algorithm. We trained, tested, and validated the ANN model using the obtained data. In this model, we used blood as the base fluid along with Gold-Fe3O4 nanoparticles. By using the suitable self-similarity variables, the partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs). After that, the dimensionless equations were solved by using the MATLAB solver in the Fehlberg method, such as those involving velocity, energy, skin friction coefficient, heat transfer rates and other variables. The goals of the ANN model included data selection, network construction, network training, and performance assessment using the mean square error indicator. The influence of key factors on fluid transport properties is presented via tables and graphs. The velocity profile decreased for higher values of the magnetic field parameter and we noticed an increasing tendency in the temperature profile. This type of theoretical investigation is a necessary aspect of the biomedical field and many engineering sectors. [ABSTRACT FROM AUTHOR]

AbstractThe study of the movement of blood across a stenotic artery is an important one in the discipline of mathematical fluid mechanics because of the importance it has in the field of biomedical research. The current study’s primary objective is to learn how nanoparticles influence blood flow through a narrowed artery. Within an examination of the theoretical flow situation, we investigate the importance of Casson nanofluid flow across a heart artery. Similarity transformations aid in the conversion of the partial differential equations into ordinary differential equations. After that, the non-dimensional equations are solved by using the MATLAB software in the Bvp5c technique. Enhancing the magnetic characteristics of the blood stream tissues was explored by boosting the magnetic field parameter, leading to a decrease in blood circulation as expected. At higher values of the Casson fluid parameter, the velocity profile decreased. Increasing the concentration of gold particles in the narrowed artery makes it more efficient at transferring heat. The use of iron nanoparticles in medicine delivery is supported by an argument. The method that is currently being used may be of assistance in dispersing pharmaceuticals across the blood stream. We employ a visual representation to facilitate the presentation of this drug delivery mechanism’s theoretical outcomes. [ABSTRACT FROM AUTHOR]

AbstractSoret and Dufour effects are utilized in designing efficient heat exchangers, optimizing separation processes, and understanding biological transport phenomena. A wedge-shaped structures aid in aerodynamics, optics, seismic resistance, and biological studies. Due to these application the consequences Soret and Dufour effects on flow of nanofluid due to wedge have been investigated. The characteristics of water (H2O) as a base fluid and single-walled carbon nanotubes  (SWCNTs), multi-walled carbon nanotubes (MWCNTs), and copper (Cu) nanoparticles are taking into account. The influence of thermal radiation and heat source/sink are part of this investigation. Similarity variables are used to sort out the complexity of fundamental governing equations. Maple via Runge–Kutta–Fehlberg method (RKF45) is used to solve resulting system of ordinary differential equations (ODEs). The graphical and tabulated results of velocity, temperature, and concentration profiles are plotted against different parameters involved in this study. The findings indicate that modifying the moving wedge factor reduces the temperature distribution. By increasing value of magnetic constraint the velocity distribution increased, the temperature and concentration distribution both are increased for varying the value of Dufour, and Soret and source/sink parameters. [ABSTRACT FROM AUTHOR]

The intention of this article is to explore the entropy generation of the Carreau hybrid nanofluid in a permeable rotating disk in the presence of thermal radiation, heat generation, and viscous dissipation. By applying the self-similarity variables, the partial differential equations are converted into ordinary differential equations and then the homotopy perturbation method is performed. Graphene oxide (Go) and Silver (Ag) are nanoparticles and kerosene oil as a base fluid is considered. Compared to the numerical technique (Runge-Kutta method), the homotopy perturbation method generates more precise and dependable results. The influence of sundry parameters is exhibited graphically for velocity, temperature, entropy generation, Bejan number, skin friction coefficient, and Nusselt number. The higher values of the Weissenberg number enhance the velocity profile and the opposite nature is observed in the porosity parameter. The entropy generation increases for larger values of the thermal radiation and electric field parameters. Carreau nanofluid expands under higher stress on the surface of the wall than Newtonian fluid. This type of problem would be used for electric devices and solar thermal systems. Moreover, the selected nanoparticles Graphene oxide and Silver play an important role in the biofunctionalization of protein, antibacterial, and anticancer therapy. [ABSTRACT FROM AUTHOR]

The goal of this paper is to identify the consequences of Darcy–Forchheimer flow (DFF) on electromagnetohydrodynamic flow of graphene oxide–iron oxide hybrid nanofluid over a rotating disk in a porous medium with viscous dissipation. The set of obtained ordinary differential equations had been solved with the corresponding boundary conditions using a numerical method called fourth-order Runge–Kutta method along with the shooting technique. The impact of the pertinent parameters on the dimensionless flow and temperature field profiles is shown using graphs. Also the nondimensional skin friction factor is stated in tabular form. The results state that as there is an increase in the value of porosity parameter, the velocity profile then diminishes. As shown in the outcomes, we accomplish that in this modeling, platelets have higher influence than the blade, brick, and cylinder. Due to nanoparticles, graphene oxide–iron oxide nanocomposite exhibits anti-microbial capabilities. These studies suggest that graphene oxide–iron oxide nanocomposite may be used to remove natural solvents and water filter. [ABSTRACT FROM AUTHOR]