Eyring-Powell Fluid Research Articles

On magnetohydrodynamics Powell–Eyring fluid with Cattaneo–Christov heat flux over a curved surface

This study explores the effects of thermal and magnetohydrodynamics (MHD) on Powell–Eyring fluid with the Cattaneo–Christov heat flux over a curved surface. The mathematical framework regarding the physical problem turn out to a set of nonlinear partial differential equation. The set of governing equations are first reduced into nonlinear ordinary differential equations via appropriate transformations and then analytical solutions of resulting nonlinear differential equations have been obtained by optimal homotopy asymptotic method. The influence of involved parameters such as magnetic parameter, fluid parameter, thermal relaxation parameter, curvature parameter, relaxation parameter, Grashof number, material parameter and Prandtl number are discussed and analyzed in tabular as well as in pictorial form. Finally, a comparison with the existing literature is prepared and an excellent agreement is seen.

Thermal analysis and entropy generation of magnetic Eyring-Powell nanofluid with viscous dissipation in a wavy asymmetric channel

PurposeThis study aims to deal with entropy generation and thermal analysis of magnetic hybrid nanofluid containing silver and gold as nanoparticles (Au-Ag/NPs) in the Eyring–Powell fluid.Design/methodology/approachThe blood is used as a base fluid to study the rheological effects in a wavy asymmetric channel. The effect of viscous dissipation is also taken into account. The mathematical model is developed using the lubrication technique. The perturbation method is used to solve the nondimensional nonlinear differential equations, whereas the pumping properties have been analyzed using numerical integration.FindingsThe impact of entropy generation, Brinkman number, Hartmann number, nanoparticles volume fraction, thermal Grashof number, Brinkman number and Eyring–Powell fluid parameter is examined on the velocity profile, temperature profile and pumping characteristics. It is observed that the introduction of gold and silver nanoparticles boosts the velocity field in a smaller segment of the channel. The temperature profile rises for the increasing values of Hartmann number, Brinkman number and nanoparticle volume fractions while the temperature profile is restrained by the Eyring–Powell fluid parameter. The pumping rate rises in all sections as the thermal Grashof number and Hartmann number increase; however, the Eyring–Powell fluid parameter has the reverse effect. The volume of the trapping boluses is significantly affected by the Eyring–Powell fluid parameter, thermal Grashof number and fluid parameter.Originality/valueThe results are original and contribute to discover the role of hybrid nanoparticles under the influence of entropy generation viscous dissipation and magnetic fields. Pharmaceutical technology may use this research for things like better mucoadhesive drug delivery systems and more productive peristaltic micropumps.

Modeling and interpretation of peristaltic transport of Eyring–Powell fluid through uniform/non-uniform channel with Joule heating and wall flexibility

The primary focus behind this research work is to unfold the characteristics of peristaltic transport of Eyring–Powell fluid through uniform/non-uniform channel. Consideration of wall flexibility as well as Joule heating is one of the key factors of this investigation. Implementation of small Reynolds number and large wavelength concepts leads to a reduction in the complexity of the system. The governing two-dimensional coupled differential equations are simplified after incorporating dimen- sionless variables. Graphical demonstrations for velocity, temperature, concentration profiles have been sketched out under the influence of pertinent flow parameters. Numerical values for the rate of mass as well as heat transfers are presented in tabular form. One of the most important occurrence regarding peristaltic movement namely trapping phenomenon has also been highlighted by means of circulating bolus through contour plots. Noteworthy findings are that for both uniform and non-uniform channels, Eyring–Powell fluid parameters exhibit a tendency to reduce the fluid velocity as well as the temperature of the fluid. Apart from this, another significant observation is that higher values of both velocity and temperature fields are observed in non-uniform channel as compared to uniform channel. Rate of heat transfer is enhanced due to an increment in Eyring–Powell fluid parameters for different types of non-uniform channels. Also for both the kind of channels, the cur- rent study explores that magnetic parameter and Eyring–Powell fluid parameter show a prominent impact on the trapping phenomenon. • Peristaltic transport of Eyring–Powell fluid through uniform/non-uniform channel. • Behaviours of wall flexibility as well as Joule heating are taken into consideration. • Rate of heat transfer is enhanced due to an increment in Eyring–Powell fluid parameters for different types of non-uniform channels. • The results are well described by graphically and tables.

Applications of Bernoulli wavelet collocation method in the analysis of Jeffery–Hamel flow and heat transfer in Eyring–Powell fluid

Applications of Bernoulli wavelet collocation method in the analysis of Jeffery–Hamel flow and heat transfer in Eyring–Powell fluid

MHD of Eyring-Powell fluid oscillatory flow with radioactive heated convective condition an inclined microchannel

Through our paper, we intent to study the influence of Eyring-Powell liquid oscillatory flow with dangerous heated convective and (MHD) form. It is with the association of liquid movement equations by exhausting the technique ‘’Perturbation Technique’’ in relationship of (ϵ << 1 Weissenberg number to get perfect principles for the rate field. All the results of mental factors of the (Re) Reynold’s number, (M) Hypnotic parameter, Peclt number (Pr) and Darisi parameter (Da) are conversed below the dissimilar principles, as displayed in popular designs.

Regularity and profiles of solutions to a higher order Eyring–Powell fluid with Darcy–Forchheimer porosity term

A flow of Eyring–Powell type constitutes a remarkable area of analysis to model non‐Newtonian processes in fluids. The associated diffusion term comes from the general kinetic theory of liquids and permits to account for a wider diffusivity, which is applicable for qualitatively low to higher shear stresses. The goal of the present article is to introduce a generalization of an Eyring–Powell fluid by the introduction of a porous reaction term (of Darcy–Forchheimer type) and a perturbation with a higher order operator. In particular, we consider that our model is an extension of a classical Eyring–Powell fluid in the same manner as introduced for other equations (see the extended Fisher–Kolmogorov model). The obtained equation is novel and requires analysis about existence, regularity and uniqueness of solutions. Stationary solutions are explored under the definition of a Hamiltonian. In addition, profiles of solutions are obtained with an exponential scaling that ends in a Hamilton–Jacobi equation. Eventually, some numerical assessments are introduced to validate the hypothesis done, and to discuss about the accuracy of the analytical approach followed.

Numerical simulation for thermally stratified Powell–Eyring fluid due to the Riga plate: application of the Cattaneo–Christov theory

The present study demonstrates the behavior of Powell–Eyring fluid flow deformed by a linearly stretchable Riga plate. The analysis of heat characteristics is scrutinized with the thermal stratification phenomenon conducted through generalized Fourier’s law (i.e. the Cattaneo–Christov theory). Heat generation/absorption is assumed to disclose the features of thermal transport phenomena. The temperature of the plate is higher than the ambient fluid temperature. It is noted that the Cattaneo–Christov model is responsible to generate some extra terms of heat absorption or generation in the energy conservation law. Appropriate transformations are implemented to achieve nonlinear governing equations in the form of an ordinary differential equation. Numerical solutions are computed for the governing equations through the Range–Kutta Fehlberg technique. In summary, the modified Hartman number is responsible to grow up velocity distribution while the opposite trend is noted for the variable thickness parameter. Heat transport phenomenon can be minimized by incorporating higher thermal relaxation parameters (i.e. it can be used as a cooling phenomenon).

Global Existence of Bounded Solutions for Eyring–Powell Flow in a Semi-Infinite Rectangular Conduct

The purpose of the present study is to obtain regularity results and existence topics regarding an Eyring–Powell fluid. The geometry under study is given by a semi-infinite conduct with a rectangular cross section of dimensions L×H. Starting from the initial velocity profiles (u10,u20) in xy-planes, the fluid flows along the z-axis subjected to a constant magnetic field and Dirichlet boundary conditions. The global existence is shown in different cases. First, the initial conditions are considered to be squared-integrable; this is the Lebesgue space (u10,u20)∈L2(Ω), Ω=[0,L]×[0,H]×(0,∞). Afterward, the results are extended for (u10,u20)∈Lp(Ω), p&gt;2. Lastly, the existence criteria are obtained when (u10,u20)∈H1(Ω). A physical interpretation of the obtained bounds is provided, showing the rheological effects of shear thinningand shear thickening in Eyring–Powell fluids.

Impacts of joule heating with Cattaeno- Christove heat flux model in a MHD flow of Erying- Powell fluid on a Riga plate

This article is related to analysing the consequences of joule heating and thermal (hot) radiation on the limit layer stream of a non-Newtonian liquid (Powell-Eyring fluid) while electro transversal magnetic field is present and Cattaneo Christov double diffusion via a convectively heated Riga Plate. The effects of the coefficient of thermophoresis and Brownian motion on joule heating are included in this mathematical model. In this paper, we introduced a new condition namely zero mass flux. A rectangular coordinates system is being employed for the flow equations to get the momentum, energy equations and concentration equations mathematically. By employing a similarity transformation, established (partial differential equations) PDE is reduced into an ordinary differential equations ODE. This method is integrated with the Runge-Kutta RK technique to solve this nonlinear ODE numerologically. With Graph, we show different parameters of velocity and temperature etc. Skin friction, with the help of a graph we can also inspect the Nusselt number and Sherwood number in detail. While studying we noticed that the increase of Hartmann number and fluid parameter is caused to increases in fluid velocity and thickness of the boundary layer. Prandtl number values are increases while decreasing in temperature of flowing fluid and concentration distribution of flowing fluid. This exploration motivates the previous research, and for further study, it gives a platform to analyse on flow past of nanofluid over a Riga plate.

MHD Powell–Eyring nanofluid motion with convective surface condition and Dufour–Soret impact past a vertical plate: Lie group analysis

The formerly neglected impact of the convective surface condition and the Soret–Dufour effect on a Powell–Eyring fluid over a vertical plate is brought to light in the present study. As such, this study focuses on a Powell–Eyring hydromagnetic nanofluid through a vertical plate with the convective surface condition and the Dufour–Soret effect. The governing flow equations containing all the thermo-physical properties are modelled mathematically through the momentum, energy and species conservation equations. We convert the governing partial differential equation into ordinary differential equations using the Lie symmetry group of scaling. The technique is theorized on the self-transformation mappings and symmetric properties of differential equations. The spectral-based quasi-linearization method was introduced to account for all the resulting flow parameters. The Biot number has a significant influence on the flow profile. Graphical analyses of some parameters are shown for the skin friction, the Nusselt and Sherwood numbers. The results herein give some insight into the use of the Powell–Eyring nanofluid for industrial applications.

Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects

In the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the x direction, the flow occupies the region y &gt; 0 . MHD, radiation, joule heating effects, and thermal relaxation time are all used to represent the flow scenario. The emergent problem is represented using PDEs, which are then converted to ODEs using appropriate similarity transformations. The converted problem is solved numerically using the SLM method. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of K changes through SLM, introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. Additionally, the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer and the temperature, but the Eckert number E c is the opposite. As E c grows, the temperature within the channel increases.

On Powell-Eyring hybridity nanofluidic flow based Carboxy-Methyl-Cellulose (CMC) with solar thermal radiation: A quadratic regression estimation

Examining the thorough double-hybrid nanofluid mode Yamada-Ota and Xue provide a detailed description of the Powell-Eyring fluid model (PEFM) with the grouping of the base streaming Carboxy-Methyl-Cellulose (CMC) and doubly changed Carbon nanotubes CNTs (Single-walled carbon nanotubes (SWCNT), Multi-walled carbon nanotubes (MWCNT)). The coordinate systems are considered normal vectors, which are all regarded to be components of the spinning cone system in which this fluid is thought to movement. The PEFM move and thermal characteristics are governed by the sliding boundary conditions, the porous medium, and buoyancy. Similarity transformations are employed to derive a set of ordinary differential equations (ODEs) indicated by the accurate initial requirement. These ODEs are after that numerically solved using a particular technique called the Galerkin finite element method (GFEM). In addition to the thermal dispersion, this investigation consumes likewise shaped graphical consequences for the velocity in different 2D-directions. Along with the dimensionless Nusselt number, the outcomes of the skin friction constants are tabulated under the influence of pertinent regulating factors. According to the findings, radiation increases the current field while the Darcy-Forchheimer limitation increases the movement of the 2D-axis. The frictional coefficient is additionally increased together with the x- and y-components by the buoyancy ratio parameter. Additionally, by controlling elements approximating radioactivity, absorbency, and sliding boundary conditions, the dimensionless Nusselt number is reduced (velocity and temperature). Furthermore, regarding the frictional factor Cfx, after testing with 100 combinations of Powell-Eyring-II parameter (β2) and speed slippage constrain (γ1) in between the 20% and 110%, it was noted that those constrains tends to resist frictional factor.

MHD Eyring–Powell nanofluid flow across a wedge with convective and thermal radiation

In this research, a theoretical investigation into the heat transport characteristics of an Eyring–Powell nanomaterial boundary layer flow on a wedge surface with passively controlled nanoparticles is carried out. In this model, thermal convective boundary conditions, thermal radiation, heat production, and absorption are also studied. The non-Newtonian Eyring–Powell fluid’s features are predicted using the model under consideration. The Buongiorno model is used to study how a temperature gradient affects thermophoresis and how nanoparticles affect the Brownian motion. The prevailing nonlinear boundary layer equations are derived and then renewed in an ordinary differential boundary value problem (ODBVP) by substituting apt similarity transformations. The acquired nonlinear ODBVP is then resolved using the bvp4c method to explore the fields of nanofluid velocity, nanofluid temperature, and nanoparticle concentration. A mathematical examination of the surface drag force coefficients and Nusselt number is carried out using various physical parameters. The Eyring–Powell fluid parameter (K1) reduces the thickness of the momentum boundary layer thickness. The thermophoresis aspect (Nt) enhances the thermal field and solutal field. The Nusselt number (NuRex−0.5) reduces the need for a stronger internal heat source mechanism.

Non-similar solutions and sensitivity analysis of nano-magnetic Eyring–Powell fluid flow over a circular cylinder with nonlinear convection

The current model is carried out to examine the radiative nano-magnetic coating flow of Eyring–Powell fluid over a circular cylinder with nonlinear convection and ohmic heating. In addition, response surface methodology is executed to probe the sensitivity of effective flow field parameters on heat transfer rate. The Brownian motion and thermophoresis effects are accounted for in the Eyring–Powell nanofluid model. The non-similar transformation approach is operated to reduce the nonlinear partial differential equations (PDEs) into dimensionless PDEs. The converted dimensionless PDEs are resolved by manipulating the Keller box technique (implicit finite difference method). To exhibit notable features of the solutions, parametric examination of the emerging parameters like thermal convection, Brownian motion, magnetic field, thermophoresis, inclination, Eckert number is carried out, the numerical computations of the flow field and physical quantities are portrayed via graphs. It is worth noting that the nanofluid coating velocity escalates by mixed convection parameter promotion. Higher values of mixed convection parameter promote the heat and mass transfer rate. The lower thermophoresis with the higher Eckert number causes a better heat transfer. The maximum heat transfer rate of 0.5467 is found via response surface methodology by setting the Eckert number=0.8, Brownian motion=0.3 and thermophoresiss=0.1.

The axisymmetric flow of an MHD Powell–Eyring fluid with viscous dissipation and Newtonian heating condition: Keller‐box method

AbstractA special investigation on the heat transfer by applying viscous dissipation and considering the Newtonian heating condition in magnetohydrodynamic Powell–Eyring fluid has been attempted. It is regarded as the flow in an axisymmetrical direction over a radially stretching surface. The converted governing system of equations is solved to obtain a closed‐form solution using the Keller‐box technique. The skin‐friction coefficient's influence fully developed local Nusselt number is then presented graphically, and temperature profiles are sorted out for the pertinent parameters. The fluid overshoot towards the plate surface with rising magnetic field strength, hence, both the fluid velocity and the hydrodynamic border line layer thickness will fall, though, the skin‐friction coefficient will increase. Various relevant results of the energy indulgence have been discussed from heating and in view of viscous dissipation phenomena. The decision with minimal cases from previous studies in the literature received confirmation of the findings.

Significance of non-Fourier heat flux on ferromagnetic Powell-Eyring fluid subject to cubic autocatalysis kind of chemical reaction

The transport of heat and mass has numerous uses in scientific engineering progression. The established laws of heat and mass transport i.e., Fourier and Fick laws do not foresee thermo-solute phenomena of relaxation time. The aim of current study is to analyze the concept of ferromagnetic flow of Eyring-Powell liquid with double magnetic dipole and homogeneous/heterogamous reactions over a flat plate. An external magnetic field by reason of two equivalent line dipole which are equidistant from the wall and normal to the flow plane has been applied. The heat flux model of Cattaneo-Christov is employed to modified method of Fourier's law to show the transport of heat structures. Convergent solutions to the non-linear formulation are derivative and scrutinized using homotopic technique. Characteristic of various parameter like magneto-thermomechanical [ferro-hydrodynamic] interface parameter, homogeneous/heterogeneous reaction, dimensionless temperature relaxation for thermal profile are displayed through graphs. This study reports that the fluid factor and ferro-hydrodynamic interaction factor show conflicting behaviour on velocity field. Further analysis shows that the Prandtl number decline the temperature field.

Optimal Homotopy Asymptotic Analysis of the Dynamics of Eyring-Powell Fluid due to Convection Subject to Thermal Stratification and Heat Generation Effect

In the present study, the effect of thermal stratification and heat generation in the boundary layer flow of the Eyring-Powell fluid over the stratified extending surface due to convection has been investigated. The governing equations of the flow are transformed from partial differential equations into a couple of nonlinear ordinary differential equations via similarity variables. The optimal homotopy asymptotic method (OHAM) is used to acquire the approximate analytical solution to the problems. Impacts of flow regulatory parameters on temperature, velocity, skin friction coefficient, and Nusselt number are examined. It is discovered that the fluid velocity augments with a greater value of material parameter E , mixed convection parameter λ , and material fluid parameter σ . The result also revealed that with a higher value of the Prandtl number Pr and the stratified parameter ε , the temperature and the velocity profile decreases, but the opposite behavior is observed when the heat generation/absorption parameter γ increases. The results are compared with available literature and are in good harmony. The present study has substantial ramifications in industrial, engineering, and technological applications, for instance, in designing various chemical processing equipment, distribution of temperature and moisture over agricultural fields, groves of fruit trees, environmental pollution, geothermal reservoirs, thermal insulation, enhanced oil recovery, and underground energy transport.

Eyring-Powell model flow near a convectively heated porous wedge with chemical reaction effects

BackgroundChemically reacting flows of non-Newtonian fluids over a moving permeable wedge have several medical and industrial applications such as wedge-shaped isodose distributions in patient anatomy and extrusion processes in manufacturing engineering. This study is aimed at analyzing chemically reacting flow over a heated porous wedge using the Eyring-Powell fluid model in order to comprehend the characteristics of dynamic wedges. MethodsTransformation of the partial differential equations (PDE) governing the flow, concentration, and temperature distribution into nonlinear ordinary differential equations (ODE) is carried out by employing similarity variables. The transformed equations are numerically solved by Runge-Kutta (RK) and shooting method using the popular MATLAB bvp4c scheme. The results are validated and are found in very close agreement with the existing numerical and Differential Transform Method (DTM) results. Significant findingsInfluence of the major dimensionless parameters on concentration, temperature, and velocity are determined and discussed. The numerical results reveal that there is a direct effect of the Prandtl number (Pr), Eyring-Powel parameter (ε), the stretching parameter (C), and the Schmidt number (Sc) on velocity profiles for the velocity-ratio parameter (R < 1); and an inverse effect for (R > 1). The temperature and concentration gradients are affected inversely by all these parameters for both the values of R. The chemical reaction parameter (Kc) slightly affects the heat transfer and skin friction but its impact on the mass transfer is significant.

Two-Phase Flow of Eyring–Powell Fluid with Temperature Dependent Viscosity over a Vertical Stretching Sheet

In this work, the mixed convection flow of non-Newtonian Eyring–Powell fluid with the effects of temperature dependent viscosity (TDV) were studied together with the interaction of dust particles under the influence of Newtonian Heating (NH) boundary condition, which assume to move over a vertical stretching sheet. Alternatively, the dusty fluid model was categorized as a two-phase flow that consists of phases of fluid and dust. Through the use of similarity transformations, governing equations of fluid and dust phases are reduced into ordinary differential equations (ODE), then solved by efficient numerical Keller–box method. Numerical solution and asymptotic results for limiting cases will be presented to investigate how the flow develops at the leading edge and its end behaviour. Comparison with the published outputs in literature evidence verified the precision of the present results. Graphical diagrams presenting velocity and temperature profiles (fluid and dust) were conversed for different influential parameters. The effects of skin friction and heat transfer rate were also evaluated. The discovery indicates that the presence of the dust particles have an effect on the fluid motion, which led to a deceleration in the fluid transference. The present flow model can match to the single phase fluid cases if the fluid particle interaction parameter is ignored. The fluid velocity and temperature distributions are always higher than dust particles, besides, the opposite trend between both phases is noticed with β. Meanwhile, both phases share the similar trend in conjunction with the rest factors. Almost all of the temperature profiles are not showing a significant change, since the viscosity of fluid is high, which can be perceived in the figures. Furthermore, the present study extends some theoretical knowledge of two-phase flow.

Dynamics of Eyring–Powell Nanofluids When Bioconvection and Lorentz Forces Are Significant: The Case of a Slender Elastic Sheet of Variable Thickness with Porous Medium

We examine thermal management in the heat exchange of compact density nanoentities in crude base liquids. It demands the study of the heat and flow problem with non-uniform physical properties. This study was conceived to analyze magnetohydrodynamic Eyring–Powell nanofluid transformations due to slender sheets with varying thicknesses. Temperature-dependent thermal conductivity and viscosity prevail. Bioconvection due to motivated and dynamic microorganisms for Eyring–Powell fluid flow is a novel aspect herein. The governing PDEs are transmuted into a nonlinear differential structure of coupled ODEs using a series of viable similarity transformations. An efficient code for the Runge–Kutta method is developed in MATLAB script to attain numeric solutions. These findings are also compared to previous research to ensure that current findings are accurate. Computational activities were carried out with a variation in pertinent parameters to perceive physical insights on the quantities of interest. Representative outcomes for velocity, temperature, nanoparticles concentration, and bioconvection distributions as well as the local thermal transport for different inputs of parameters are portrayed in both graphical and tabular forms. The results show that the fluid’s velocity increases with mixed convection parameters due to growing buoyancy effects and the fluid’s temperature also increased with higher Brownian motion Nb and thermophoretic Nt. The numerical findings might be used to create efficient heat exchangers for increasingly challenging thermo-technical activities in manufacturing, construction, and transportation.