Flow Of Eyring-Powell Nanofluid Research Articles

Melting phenomenon of thermally stratified MHD Powell–Eyring nanofluid with variable porosity past a stretching Riga plate

Abstract Recently, experts have become particularly interested in the treatment of disorders caused by magnesium shortage. Hypomagnesemia is produced by a magnesium deficit in the blood, which is an additional stimulation for different diseases such as vomiting, drowsiness, nausea, loss of appetite, and so on. To compensate for this shortage, magnesium is injected as a nanoparticle in the blood (base fluid). The properties of these magnesium nanoparticles specifically their size, dispersion, and surface characteristics are crucial for optimizing their bioavailability and therapeutic efficacy. Advanced material characterization techniques ensure the stability and enhanced performance of these nanoparticles in the physiological environment. Based on these applications, the current research aims to address magnesium deficiency via Powell–Eyring nanofluid flow distorted by the linearly stretchable sheet in the region of the stagnation point. Linear thermal stratification, viscous dissipation, and Joule heating are used to reveal the heat transport features. The magnetic field is applied to the nanofluid at an angle α to further control the fluid dynamics and nanoparticle behavior. Transformations are used to create a set of dimensionless governing equations. Comparative graphs are used to explain the physical behaviors of temperature and velocity fields, demonstrating how material properties impact fluid dynamics. The well-known convergence method (homotopy analysis method) is used to solve the model by comparing graphs.

Suction impact on Eyring Powell nanofluid flow over an electromagnetic medium with Joule heating

The current study has addressed numerically the importance of blowing and suction outcomes on Eyring-Powell nanofluid flow over an electromagnetic surface with heat generation, activation energy and Joule heating. Through the use of similarity conversions, the governing equations are changed to the level of a collection of nonlinear ODEs. In order to solve the nondimensional ODEs under physically realistic boundary circumstances, the bvp4c variational method has been used. The flow velocity computed numerically compares well to the precise solution presented in the literature. The results of numerical calculations have made this very evident. The graphical patterns were displayed to explore the effects of near-surface tangible parameters and engineering factors on the significant physical flow features. The results indicate that the velocity of the nanofluid decreases as the suction and magnetic parameters rise in value. A comparison is made between the current findings and the results that have been obtained in the past, and it is discovered that there is a good agreement between the results.

Entropy generation and heat transfer analysis of Eyring-Powell nanofluid flow through inclined microchannel subjected to magnetohydrodynamics and heat generation

The current study is inspired to investigate the influences of essential flow dynamics including magnetic field, variable dynamic viscosity, Joule heating, viscous dissipation, porous medium dissipation, heat source, thermal radiation, and convective heating on the mixed convection flow of Eyring-Powell Cu − water nanofluid trough an inclined microchannel in the presence of Darcy-Forchheimer porous medium. The governing mathematical model equations are formulated, converted into dimensionless and thereafter solved numerically in the MATLAB software via Bvp4c-package. The influences of the embedded dimensionless parameters on heat transfer behaviours and entropy generations are displayed trough graphs as well as their physical interpretations are discussed in detail. Consequently, it is revealed that the performance of microchannel thermal system is improved by factors such as injection/suction of fluids, Eyring-Powell fluid, magnetic field, non-Darcy porous medium, Cu − nanoparticles, thermal radiation and convective heating. The drag coefficient and Nusselt number augment with viscous dissipation, variable dynamic viscosity, Darcy porous medium, angle of inclination, Prandtl number and heat source. Moreover, the Nusselt number at around the left and right walls vicinity shows an opposite behaviour with escalating values of the Biot number and thus convective transfer of heat around the microchannel walls is remarkably important. Furthermore, the minimization of net entropy generation rate is achieved with Eyring-Powell fluid, magnetic field, Cu − nanoparticles, thermal radiation and convective heating but it escalates with variable dynamic viscosity, viscous dissipation, angle of inclination, heat source and Prandtl number. Indeed, the irreversibility due to the robust influence of porous medium shows dual behaviours on the net entropy generation rate. Finally, the numerical results are also validated by comparing with the results of already existing literatures and hence, a sounding agreement is attained.

Role of nanomaterial on irreversibility and heat transport due to stretching surface driven blood flow in the view of Buongiorno and Tiwari-Das models

Several strategies are used to increase the heat transmission capabilities of ordinary fluid. Using metallic nanomaterials thethermal conductivity is modified whichcan improve the energy transport mechanism. Our primary goal is to observe the dual diffusion and volumetric friction of injected nanoparticles in blood flow simultaneously. TheEyring–Powell fluid is speculated as blood on the basis of shear thinner behavior. The entropy formation in the region of stagnationin MHD Eyring–Powell nanofluid flow is scrutinized. The flow is produced by stretchable surface. The impacts of slip mechanism viscous dissipation and melting heating are included in the current analysis. The single and two phase model are used as coupled model to inquire the effects of nanomaterials. System of PDEs are achieved and reduced to ODEs using appropriate variables. The reduced ODEs are solved using RK-4 methodology. It is evident that blood flow is greatly influenced by Lorentz forces and fluid primary parameter. On the other hand, the secondary and increased volumetric rate encourage the flow of blood. The blood temperature is rising function of thermophoresis, Eckert and magnetic parameter. Similar trend for solutal profile was noted against Brownian and Lewis number. The system irreversibility are rising with Brinkman, magnetic and diffusion variable. The coefficient of energy transport rate and frictional drag are rising function of material parameters and volumetric concentration of injected nanomaterial. It is interesting to see that nearly all profile show comparable trend with higher concentration of nanomaterials.

Nonsimilar analysis of ternary hybrid Eyring–Powell nanofluid flow over a linearly stretching surface

Purpose This study investigates the flow and heat transfer in a magnetohydrodynamic (MHD) ternary hybrid nanofluid (HNF), considering the effects of viscous dissipation and radiation.Design/methodology/approach The transport equations are transformed into nondimensional partial differential equations. The local nonsimilarity (LNS) technique is implemented to truncate nonsimilar dimensionless system. The LNS truncated equation can be treated as ordinary differential equations. The numerical results of the equation are accomplished through the implementation of the bvp4c solver, which leverages the fourth-order three-stage Lobatto IIIa formula as a finite difference scheme.Findings The findings of a comparative investigation carried out under diverse physical limitations demonstrate that ternary HNFs exhibit remarkably elevated thermal efficiency in contrast to conventional nanofluids.Originality/value The LNS approach (Mahesh et al., 2023; Khan et al., 20223; Farooq et al., 2023) that we have proposed is not currently being used to clarify the dynamical issue of HNF via porous media. The LNS method, in conjunction with the bvp4c up to its second truncation level, yields numerical solutions to nonlinear-coupled PDEs. Relevant results of the topic at hand, obtained by adjusting the appropriate parameters, are explained and shown visually via tables and diagrams.

Numerical simulation of bio-magnetic nanofluid flow in the human circulatory system

The investigation of the rheological properties of bio-magnetic nanofluid in the human circulatory system has attracted the attention of biomedical engineers, medical professionals and researchers in recent days to explore the potential of utilizing magnetic field in the diagnosis of cancer cells, thrombosis and cardiovascular diseases. The Eyring-Powell fluid model was employed in this investigation because it accurately captures the non-Newtonian features of blood owing to its shear thinning and stress relaxation qualities. The present study illustrates the importance of the induced magnetic field on Eyring-Powell nanofluid flow across three distinct geometries (stagnation point, plate, and wedge) with the presence of gyrotactic microorganisms. The investigation of different geometries provides essential information regarding their practical applications, such as the development of targeted therapies for localized drug delivery, the dissolution of blood clots to promote clot breakdown, the enhancement of drug delivery to specific regions, the prevention of biofilm formation on vessel walls, the promotion of improved blood flow, and the reduction of plaque for arterial health. The conversion of fluid transport equations into ordinary differential equations has been achieved through the utilization of appropriate self-similarity variables. The resulting equations have been solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. The characteristics of numerous dimensionless parameters such as magnetic Prandtl number ( M mp = 0.5 , 1.0 , 1.5 ) , magnetic parameter ( β mp = 0.2 , 0.4 , 0.6 ) , fluid parameters ( ε , δ = 0.0 , 0.5 , 1.0 ) , chemical reaction parameter ( Kr = 0.0 , 0.5 , 1.0 ) , Eckert number ( Ec = 1.0 , 2.0 , 3.2 ) , Thermophoresis ( N T = 0.3 , 0.6 , 0.9 ) , Brownian motion ( N B = 0.3 , 0.6 , 0.9 ) , Biot number ( Bi = 0.5 , 1.0 , 1.5 ) , bioconvective constant ( σ 1 = 0.0 , 1.0 , 2.0 ) , bioconvective Schmidt number ( Sb = 0.1 , 0.3 , 0.5 ) , Peclet number ( Pe = 0.1 , 0.3 , 0.5 ) , temperature ratio ( θ w = 1.0 , 2.0 , 3.0 ) , Radiation ( Rd = 0.0 , 1.0 , 1.5 ) , Schmidt number ( Sc = 1.0 , 2.0 , 3.0 ) , and non-dimensional activation energy ( E = 0.0 , 0.5 , 1.0 ) are analyzed. The magnetic Prandtl number and the magnetic parameter both show a decrease with an increase in the induced magnetic field. The magnitude of concentration increases with the elevation of both the Bio convective constant and the Peclet number. The skin friction coefficient is increased to the higher values of the fluid parameter in all three geometries. Nusselt number and Sherwood number both increase to the higher values of the thermophoresis parameter across the plate, wedge, and stagnation point. The Peclet and bioconvective numbers increase the concentration of motile organisms across the plate, wedge, and stagnation point geometries.

Numerical study of TC4-NiCr/EG+Water hybrid nanofluid over a porous cylinder with Thompson and Troian slip boundary condition: Artificial neural network model

The analysis is intended to demonstrate two-phase flow of hybrid dusty Eyring–Powell nanofluid flow over a porous cylinder with Thompson and Troian slip boundary condition. The combination of (C2H6O2) ethylene glycol (40 %) and (H2O) water (60 %) -based TC4 (TC4 is an alloy of titanium consisting of 90 % titanium, 6 % aluminium, and 4 % vanadium) was utilized to preparing the hybrid nanofluids. Ti–6Al–4V is another name for this alloy) and nickel-chromium (NiCr) nanoparticles flow properties after the mechanism has been filled with dusty particles. A new approach to the execution of an intelligent numerical computing solution is shown in this paper, which uses the Levenberg-Marquard algorithm to drive MLP feed-forward back-propagation ANN. Data were collected for the testing, certification, and training of the ANN model. The bvp4c with MATLAB solver is used to resolve nonlinear versions of well-known mathematical problems, such as those involving the skin friction coefficient, heat transfer rates, velocity, temperature, and other variables. The ANN model is designed to perform the following tasks: selecting data, building networks, training networks, and assessing their effectiveness via the use of the mean square error measure. The influence of key factors on the fluid transport characteristics is demonstrated via tables and graphs. The velocity profile is higher values, resulting in an amplification of the curvature parameter. The temperature rises when the radiation parameter values decline, and the specific heat ratio parameter exhibits a similar pattern. Higher values of the velocity slip parameter and melting factor both are decays on the Nusselt number. This type of theoretical investigation is a necessary aspect of many aircraft applications, including power production, cooling of electrical and propulsion reactors.

Sensitivity analysis on enhanced thermal transport in Eyring–Powell nanofluid flow: investigating over a radiating convective Riga plate with non-uniform heat source/sink under flux conditions

Sensitivity analysis on enhanced thermal transport in Eyring–Powell nanofluid flow: investigating over a radiating convective Riga plate with non-uniform heat source/sink under flux conditions

Partially ionized bioconvection Eyring–Powell nanofluid flow with gyrotactic microorganisms in thermal system

In the fluidic system, Hall and Ion slip parameters play a critical role in reducing heat dissipation. In the present work, mathematical equations of Eyring–Powell nanofluid are used to simulate the behaviour of partially ionized bioconvection fluid for heat and mass transfer, gyrotactic microorganisms motion in the presence of a magnetic field, Hall and Ion slip, Cattaneo–Christov heat flux and heat source/sink effects. Convective boundary conditions are used. The governing partial differential equations with boundary conditions resulting from the flow of Eyring–Powell nanofluid are transformed into nonlinear system and then computed using the homotopy analysis method (HAM). The impacts of all the non-dimensional parameters on the velocities, temperature, nanoparticles concentration, and density of gyrotactic microorganisms are depicted and explained by using the graphs with varying values. There exists a nice agreement between the present and published work.

Correction to: Swimming of Gyrotactic Microorganisms in Unsteady Flow of Eyring Powell Nanofluid with Variable Thermal Features: Some Bio-technology Applications

Correction to: Swimming of Gyrotactic Microorganisms in Unsteady Flow of Eyring Powell Nanofluid with Variable Thermal Features: Some Bio-technology Applications

Influence of Dofour and Soret on Eyrig-Powell Nanofluid Flow from A Circular Cylinder with Viscous Dissipation

The impact of Viscous dissipation on the heat and mass transfer characteristics of an Eyring Powell nanofluid flow past a horizontal circular cylinder is intensively investigated in the presence of Dufour and Soret effects. The free laminar flow is subject to a uniform transverse magnetic field. The continuity, momentum, energy, and concentrations equations are transformed into a nonlinear system of partial differential equations using appropriate non-similarity variables. The transformed system was solved numerically using the fourth order Runge Kutta method. The effect of parameters including Prandtl number, Dufour effect, Soret effect and Schmidt number were studied and presented graphically. Nusselt and Sherwood numbers have also been derived and discussed numerically.

Chemically reactive MHD fluid flow along with thermophoresis and Brownian effects

In the current manuscript, the aim of the study is to analyze the Eyring-Powell nanofluid flow under the influence of chemical reaction and radiation effects in a slender cylinder in the presence of a non-linear heat source/sink. The flow of Eyring-Powell nanofluid through a slender cylinder along with chemical reaction and MHD effect is not studied yet. Which is the novelty of current research work. Flow analysis is taken near the stagnation point. MHD effect is considered for controlling turbulence. Rosseland model is applied for the estimation of heat flux. The governing system of PDE’S is converted into highly nonlinear ODE’S by utilizing suitable similarity transformations along with the boundary conditions. The resulting coupled systems of nonlinear ordinary differential equations (ODE), accompanied by boundary conditions, are solved using the powerful bvp4c method in MATLAB software. The physical significance of evolved parameters is investigated by graphs and tables. Nusselt number and skin friction are analyzed for several parameters. It is observed that the increase in the MHD effect rises the velocity but lessens the temperature profile and the concentration of the fluid declines when the chemical reaction parameter is incremented. The specific application of the study is that the Eyring-Powell is used in a variety of industrial applications, including lubrication, plastics processing, and oil drilling.

Significance of chemically reactive magnetized Eyring-Powell nanofluid flow comprising gyrotactic moment of microorganism and radiative analysis

The emerging attention in nano-technology and thermal engineering has led to the concept of nanoparticles with improved theoretical mechanisms and accomplished influenced innovative usages in cooling and heating conveniences, air conditioning arrangements, heat carrying systems, bio-medical applications such as cancer cure, micromechanics, solar energy, artificial heart surgery etc. Currently, peristaltic movements joined with non-Newtonian fluids have enlarged innumerable devotion due to their enormous applications in physical, medical, engineering processes and medical. Eyring - Powell is unique type of non-Newtonian model consequential commencing the theory of motion of fluids. This research work inspects the 3D steady magnetohydrodynamic flow (MHD) containing microorganisms of a Powell-Eyring nanofluid with double stratification over a bidirectional stretched surface. Furthermore, the characteristics of the heat transfer phenomenon are prescribed out by means of thermal radiation. For changing nonlinear PDEs to nonlinear ODEs, we use the appropriate transformations and then numerically solve them with the help of bvp4c procedures. The possessions of several parameters modulating the heat and mass transfer properties are graphically depicted and illustrated in particular. It is interesting to perceived that the temperature field deteriorates for established estimates of the stretching parameter and the Prandtl number. The microorganism as well as concentration field improve for increasing estimates of magnetic parameter and the Biot number.

Impact of ferromagnetic nanoparticles on magnetized Eyring–Powell nanofluid flow subject to magnetic dipole

Due to recent advancements in technologies and nanoscience, research focused on nanofluid because of its extensive use in many industrial as well as manufacturing processes. Nanotechnology is widely utilized in many photovoltaic devices, mini-computers, bio-medical apparatus, electronic instruments, cooling and heating of metallic plates, etc. In view of numerous applications, the basic aim of this work is to explore the impact of ferromagnetic nanomaterial on 2-D Eyring–Powell fluid flow. Characteristics of viscous dissipation and Brownian movement are under consideration. Some suitable similarity transformations are exploited to achieve the nonlinear ODEs from PDEs. Bvp4c scheme is implemented to solve the resultant system of equation. Impacts of ferromagnetic interaction parameter, thermophoresis parameter, viscous dissipation, Curie temperature and Eckert number are perceived for velocity, temperature as well as concentration fields. Moreover, velocity, thermal and mass transfer gradients are deliberated and scrutinized graphically. It is found that upsurge in the value of magnetic parameter reduces the velocity profile while it deteriorates against Eyring–Powell fluid parameter. Additionally, greater thermophoresis parameter has augmented the temperature profile while it shows opposite behavior for concentration.

Electro‐osmotic driven flow of Eyring Powell nanofluid in an asymmetric channel

This article aims to investigate the electro‐osmotic flow of the Eyring‐Powell nanofluid under the peristaltic mechanism with the influence of the porous medium in the micro‐channel. The modified system is applied externally to an electrical field in the horizontal direction and a magnetic field in the transverse direction. Governing equations of nanofluid flow are formulated, and the assumptions of low Reynolds number and large wavelength approximations are tackled. The resulting coupled non‐linear partial differential equations like velocity and temperature equations are solved numerically by the NDSolve command using the computational mathematical software Mathematica. The influence of various important parameters on the velocity of the fluid, the temperature profiles, and the trapping phenomenon are discussed in detail by graphs. Under the influence of Joule heating, the study details the thermal transport process in the fluid. It demonstrates how an increase may significantly improve the momentum transmission in the core region of the microchannel in the volume fraction of the nanoparticles in the fluid.

Modeling of modified Eyring–Powell nanofluid flow subject to thermal-solutal stratification phenomenon

Population growth and rapid industrialization have led to many serious problems such as change in climate, fossil fuel shortages, crisis of energy, and environmental issues, which have become the primary risks for the survival of human being on this planet, to overcome these problems researchers take keen interest in nanofluid because they have a higher thermal conductivity than conventional base fluids, and thus can serve as an effective heat transfer medium. In present article, the impact of magnetized flow for modified Eyring–Powell fluid under thermophoretic and Brownian movements aspects is examined. Double stratification phenomenon for heat/mass transportation analyses is introduced. Some suitable similarity transformations are exploited to achieve the non-linear ODEs. The acquired ODEs are resolved numerically by using bvp4c technique. Moreover, physical elucidation for dimensionless variable's is presented. Velocity of modified Eyring–Powell nanofluid has opposite behaviors versus magnetic parameter and fluid parameter. Augmented values of radiation parameter, thermophoresis, thermal Biot number, and magnetic parameters intensify the temperature of nanofluid. More specifically, concentration of nanofluid dwindles against larger solutal Biot number and Brownian moment parameter. Transportation rate of heat intesifies for larger [Formula: see text].

Impact of impulsive motion on the Eyring-Powell nanofluid flow across a rotating sphere in MHD convective regime: Entropy analysis

The widespread use of non-Newtonian fluids with impulsive motion in engineering sheds light on this investigation. This study investigates the entropy optimization in the Eyring-Powell nanofluid flow over an impulsive rotating, moving sphere in an unsteady combined convection regime with the effect of magnetized field, activation energy, and liquid hydrogen diffusion. The angular velocity of the sphere and the free stream velocity combine to produce the impulsive motion seen here. The governing partial differential equations (PDEs) are formulated in dimensional form by incorporating the boundary layer approximation. After undergoing non-similar transformations, these PDEs are transformed into dimensionless nonlinear PDEs. Consequently, resulting equations are linearized using the Quasilinearization method. An implicit finite difference method is employed to discretize the linearized equations. The findings are depicted through graphs with a variety of profiles and gradients. The fluid velocity and surface friction tend to decrease for Eyring-Powell nanofluid than the primary Newtonian nanofluid. The energy transfer strength is cut down by approximately 11% for rising values of magnetic field characteristics. A small change in the Brownian diffusion characteristics reinforces the mass transfer strength by 11% approximately. The entropy generation is pronounced more for linear combined convection βt=0, whereas it is less for nonlinear combined convection βt≠0. Adopting nonlinear combined convection, a magnetic field over a moving sphere can reduce the entropy generation.

Electrothermal analysis for reactive Powell Eyring nanofluid flow regulated by peristaltic pumping with mass transfer

The proposed work presents an optimized thermal frame for electroosmosis optimized peristaltic transportation of reactive Powell-Eyring magneto-nanofluid with mass transfer. The peristaltic phenomenon with the applications of electro-kinetic pumping develops the effectiveness of smart pumps in nanotechnologies and medical uses. The thermal and mass characteristics of a nanofluid is obtained by evaluating the well-known Buongiorno model, which allows us to identify appealing aspects of thermophoretic diffusion and Brownian motion. The non-Newtonian nanofluid flows through a porous space under the influence of variable thermal conductivity, chemical reactions, magnetic field, and mixed convection. Zero mass flux at the channel borders are taken. A biological estimate of the creeping transportation model, long wavelength assumptions, and Debye-Hückel linearization is revealed. The resulting equations are then resolved numerically, and the results obtained are discussed in detail along with their graphical representation. The investigation reports that electroosmotic and Joule heating parameters significantly improve the temperature of Powell Eyring nanofluid. The total entropy (irreversibility rate) of the system can be controlled with the thermal conductivity parameter in the case of auxiliary pumping. A development in concentration profile is seen for greater chemical reaction parameters. Further, nanofluid flow declines with higher values of electroosmotic velocity and the Powell-Eyring fluid parameter.

Dynamics of gyrotactic microorganisms for modified Eyring Powell nanofluid flow with bioconvection and nonlinear radiation aspects

This analysis investigates the features of the mixed convection phenomenon for modified Eyring Powell fluid based on Buongiorno’s relation of nanofluid. The moment of gyrotactic micro-organisms and bioconvection analysis is considered in this analysis. Energy expression incorporates the aspects of nonlinear radiation and heat sink source. Furthermore, convective heat transportation analysis and no mass flux relations are incorporated into the modeling of physical problems. The governing system represents that the rheological expression of modified Eyring Powell nanofluid is simplified and then through a transformation procedure is reduced to ODEs. The transformed ODEs are then tackled through the bvp4c technique. Important physical parameters are elaborated through graphs. Gradients of microorganisms and temperature are discussed against emerging physical parameters. Nanofluid temperature intensifies for the biot number and radiation parameter, while the quite opposite behavior of nanofluid is detected against Prandtl number. The moment of gyrotactic micro-organisms dwindles for larger bioconvection Lewis number.

Simulating and interpretation of MHD peristaltic transport of dissipated Eyring–Powell nanofluid flow through vertical divergent/nondivergent channel

The primary goal of this study is to present a novel suggestion to uncover the characteristic features of the peristaltic flow of Eyring–Powell nanofluid through divergent and nondivergent channels. Several strategies are used to enhance the heat transfer capacity. Heat transport can be improved by increasing the thermal conductivity of the materials using nanoparticles. The implementation of a low Reynolds number and large wavelength hypothesis brings to reduce the system’s complexity. The resulting nonlinear coupled differential equation system is solved numerically by utilizing Mathematica symbolical software (ND-Solve). Various configurations of the outer boundaries are considered, namely, square wave, multi-sinusoidal wave, trapezoidal wave, and triangular wave. Under the effect of pertinent flow parameters, graphical illustrations of axial velocity, thermal, and concentration profiles have been portrayed. In tabular form, numerical outcomes for the rate of heat as well as mass transfers are displayed. One of the most significant phenomena concerning peristaltic motion, known as the trapping phenomenon, has also been spotlighted using contour plots and circulating bolus. The major outcomes revealed that the square wave shape gives higher pressure gradients near the inlet and outlet parts while the multi-sinusoidal wave gives periodic behaviors of It is noteworthy that Eyring–Powell fluid characteristics display a tendency to diminish the thermal resistance and axial velocity near the walls for divergent channels while an enhancement in velocity is observed at the region as Eyring–Powell fluid parameter is altered. Further, for various kinds of divergent channels, the rate of heat transmission is enhanced due to an augmentation in Eyring–Powell fluid characteristics. Also, the present study uncovers that the parameters of the magnetic field and the Eyring–Powell fluid materials have a significant influence on the trapping phenomenon for both types of channels.