Flow Of Eyring-Powell Fluid Research Articles

Dufour, Soret and radiation effects with magnetic dipole on Powell-Eyring fluid flow over a stretching sheet

PurposeThis paper aims to investigate the effect of Powell–Eyring fluid induced by a stretched sheet. Heat and mass transfer under the influence of magnetic dipole over a stretching sheet are taken into account.Design/methodology/approachNonlinear coupled governing equations are solved using the optimal homotopy asymptotic technique, and a computer software package BVPh 2.0 is used for numerical computations.FindingsImpact of significant quantities is graphically examined. It is seen that the heat transfer deceases for higher values of viscous dissipation parameter, radiation parameter, Dufour number, whereas it increases for bigger values of Prandtl number. The numerical results have been validated through comparison with existing literature as a special case of proposed model and perceived that the Soret number has reining role to increase the rate of heat transfer.Originality/valueTo the best of the authors’ knowledge, this study is reported for the first time.

A Note on the Similar and Non-Similar Solutions of Powell-Eyring Fluid Flow Model and Heat Transfer over a Horizontal Stretchable Surface

Deliberation on the dynamics of non-Newtonian fluids, most especially Powell-Eyring fluid flow can be described as an open question. In this investigation, the flow and heat transfer characteristics are examined numerically by means of similarity analysis for a Powell-Eyring fluid moving over an isothermal stretched surface along the horizontal direction, whose velocity varies nonlinearly as a function of and follows a specified power-law degree formula. In order to solve the problem under consideration, the resulting system of coupled nonlinear partial differential equations with their corresponding boundary conditions is transformed into a correct similar form by utilizing appropriate similarity transformations, which are exceptionally acceptable for a particular form of the power-law stretching velocity, whose exponent is equal to . From the mathematical point of view, the similar equations of the studied flow cannot be obtained for any form of the power-law surface stretching velocity. As a result, it was found that the use of a general power-law stretching velocity results in non-similar equations. Also, appropriate numerical methods for similar and non-similar equations are used to discuss the results of engineering significance. Furthermore, correlation expressions for the skin friction and Nusselt number have been derived by applying the linear regression on the data outputted from the used computational methods.On the contrary to the heat transfer rate, it was found that the local skin friction coefficient is a decreasing property of power-law stretching.

Analysis of Eyring–Powell Fluid Flow Used as a Coating Material for Wire with Variable Viscosity Effect along with Thermal Radiation and Joule Heating

This article examines a wire coating technique that considers how viscoelastic Eyring–Powell fluid is studied with magnetohydrodynamic (MHD) flow, thermal transfer, and Joule heating effects. Temperature-dependent variable and flexible viscosity models are considered. The interface boundary layer equalities which describe flux and thermal convective phenomena are evaluated using a dominant numerical technique—the so-called Runge–Kutta 4th-order method. A permeable matrix which behaves like a dielectric to avoid heat dissipation is taken into account and is the distinguishing aspect of this article. The effect of thermal generation is also explained, as it controls power. The effects of various parameters, such as non-Newtonian fluid, magnetic field, permeability, and heat source/sink, on wire coating processes are investigated through graphs and explained in detail. For the sake of validity, numerical techniques are compared with a semi-numerical technique (HAM) and BVPh2, and an outstanding agreement is found.

Eyring–Powell fluid flow through a circular pipe and heat transfer: full solutions

Purpose The purpose of this study is to examine the non-Newtonian physical model of Eyring–Powell fluid for the rheology inside a long circular pipe. Design/methodology/approach Although many research studies are available now on this topic, none gives full solutions explicitly accessible. Findings It is proven here that the hydrodynamically fully developed fluid flow acknowledges the exact solution, influenced by a non-Newtonian parameter as well as the adverse pressure gradient parameter prevailing the flow domain. These parameters are unified under a new parameter known as the generalized Eyring–Powell parameter. Without the presented analytical data, it is impossible to detect the validity range of such physical non-Newtonian solutions, which is shown to be restricted. Originality/value Full solution of the energy equation for the thermally fully developed laminar regime is also presented under the assumption of uniform wall temperature at the pipe wall. The physical impacts of pertinent parameters on the rheology of the non-Newtonian fluid with regard to the Reynolds number, Darcy friction factor and pressure drop are easy to interpret from the derived formulae. Particularly, a decrease in the centerline velocity and an increase in the rate of heat transfer are clarified for the considered flow configuration.

Non-similar Solution of Eyring–Powell Fluid Flow and Heat Transfer with Convective Boundary Condition: Homotopy Analysis Method

The study presents the mixed convective boundary layer flow of Eyring–Powell fluid over a vertical plate with variable velocity and temperature distribution taking convective boundary condition into account. The transformed non-dimensional governing equations in non-similar nature are solved by employing hybrid technique: local non-similarity method in conjunction with homotopy analysis method. The convergence of homotopy series solution is obtained and presented for various order of approximations. The series solutions have been validated by comparing the results available in the literature and found good agreement. The obtained results are shown properly by graphs and discussed for various values of thermo-physical parameters. It is found that the Eyring–Powell fluid shows higher velocity than Newtonian fluid whereas lower temperature than Newtonian fluid. Furthermore as increase in fluid parameter, ratio of relaxation and retardation parameter, skin friction coefficient decreased and heat transfer coefficient increased. The study finds wide applications in the field of design of heat exchangers, process of cooling of metallic plate, extrusion of plastic sheets, in polymer and glass industries etc.

Mixed Convection of Non-Newtonian Erying Powell Fluid with Temperature-Dependent Viscosity over a Vertically Stretched Surface

The viscosity of a substance or material is intensely influenced by the temperature, especially in the field of lubricant engineering where the changeable temperature is well executed. In this paper, the problem of temperature-dependent viscosity on mixed convection flow of Eyring Powell fluid was studied together with Newtonian heating thermal boundary condition. The flow was assumed to move over a vertical stretching sheet. The model of the problem, which is in partial differential equations, was first transformed to ordinary differential equations using appropriate transformations. This approach was considered to reduce the complexity of the equations. Then, the transformed equations were solved using the Keller box method under the finite difference scheme approach. The validation process of the results was performed, and it was found to be in an excellent agreement. The results on the present computation are shown in tabular form and also graphical illustration. The major finding was observed where the skin friction and Nusselt number were boosted in the strong viscosity.

Homotopy solution for MHD mixed convective unsteady flow of a Powell-Eyring fluid in a vertical porous space with oscillating wall temperature

In this paper, unsteady magnetohydrodynamic (MHD) flow of Powell-Eyring fluid in a vertical channel with diffusion thermo and thermal diffusion effects in the presence of heat source have been studied. The governing nonlinear, coupled partial differential equations are reduced to ODEs using oscillating parameter and then solved by homotopy analysis method (HAM). The influence of emerging parameters on heat and mass transfer characteristics of the flow are studied. It is found that the velocity of a Non-Newtonian fluid is found to decrease in comparison with Newtonian fluid. Also, it is observed that thermal parameters and Soret number are lead to promote the temperature of the fluid significantly. Increasing magnetic parameter tends to produce oscillating behaviour on volume flow rate whereas uniform depreciation can be noticed with increasing Schmidt number.

Homotopy solution for MHD mixed convective unsteady flow of a Powell-Eyring fluid in a vertical porous space with oscillating wall temperature

In this paper, unsteady magnetohydrodynamic (MHD) flow of Powell-Eyring fluid in a vertical channel with diffusion thermo and thermal diffusion effects in the presence of heat source have been studied. The governing nonlinear, coupled partial differential equations are reduced to ODEs using oscillating parameter and then solved by homotopy analysis method (HAM). The influence of emerging parameters on heat and mass transfer characteristics of the flow are studied. It is found that the velocity of a Non-Newtonian fluid is found to decrease in comparison with Newtonian fluid. Also, it is observed that thermal parameters and Soret number are lead to promote the temperature of the fluid significantly. Increasing magnetic parameter tends to produce oscillating behaviour on volume flow rate whereas uniform depreciation can be noticed with increasing Schmidt number.

Thermal analysis of an Eyring-Powell fluid flow-through a constricted channel

This paper is aimed to investigate the entropy generation in a MHD convective flow of Eyring-Powell fluid through a mildly constricted channel. The constriction is assumed to be of regular or irregular shape and is presented inside the channel wall. Mathematical model is developed using the basic laws of conservation of mass, momentum, and energy. The governing equations are normalized using appropriate set of dimensionless variables and solutions are obtained by regular perturbation technique. The solutions are further used to calculate the entropy expression associated with the Second law of thermodynamics. The heat transfer characteristics, like, temperature, isotherms, entropy generation number entropy lines and the Bejan number are analyzed for the variation in magnetic field, shape parameter, and material constants. It is observed that entropy production is maximum in the narrow part of the channel. Moreover, entropy generation rate is higher for the regular parabolic shape as compared to irregular shapes of constriction.

The impacts of varying magnetic field and free convection heat transfer on an Eyring–Powell fluid flow with peristalsis: VIM solution

A mathematical model of a non-Newtonian fluid (Eyring–Powell fluid) flow with peristalsis under the effect of varying magnetic field and free convection heat transfer has been discussed. Most of the previous attempts of peristaltic flow problems for a non-Newtonian fluid have been solved by using the perturbation technique for a small non-Newtonian parameter, which gives some limits for the results. To avoid such restriction, the variational iteration method (VIM) is applied to solve the current model. A code is established by using the symbolic software MATHEMATICA to get the successive solutions. Semi-analytical solutions are found by VIM for the velocity, heat transfer, pressure gradient and stream function, which include Eyring–Powell fluid parameters. Moreover, a comparison between VIM and numerical solutions is discussed. The obtained results show that the variation of the heat transfer for the Newtonian fluid is large compared with the Eyring–Powell fluid. In addition, it is noteworthy that the peristaltic transport overcomes on Lorentz force nearby the peristaltic walls.

Powell–Eyring fluid flow towards an isothermal sphere in a non-Darcy porous medium

Non-Newtonian viscoelastic fluid flow past an isothermal sphere embedded in non-Darcy porous medium is examined numerically in this work. To be specific, the non-Newtonian Powell–Eyring fluid in the presence of both the heat and mass characteristics is mathematically modelled in terms of differential system. A non-Darcy drag force model is employed to simulate the effects of linear porous media drag and second-order Forchheimer drag. The surface of the sphere is maintained at a constant temperature and concentration. The numerical solution of the resultant system is reported via the Keller box method. Both tabular and graphical forms are adopted to identify the variations in Powell–Eyring fluid velocity, Powell–Eyring fluid temperature, and Powell–Eyring fluid concentration. In addition, the surface physical quantities, namely, skin friction and heat and mass transfer rates, are explored. The obtained observations are validated with earlier Newtonian studies. We found an excellent match in this regard. It is found that the velocity is reduced with increasing fluid parameter (ε), Forchheimer parameter (Λ), and tangential coordinate (ξ). In contrast, the temperature and concentration are increasing with increasing value of ε. A very slight increase in velocity is seen with an increase in the local non-Newtonian parameter, δ. But the temperature and concentration decrease slightly with an increase in δ. An increase in Darcy parameter enhances velocity but reduces both temperature and concentration. The present study finds an extensive array of applications in modern nuclear engineering, mineral and chemical process engineering, nuclear waste in geomaterial repositories, petroleum product filtration, and insulation systems.

Dufour and Soret effects on unsteady heat and mass transfer for Powell-Eyring fluid flow over an expanding permeable sheet

In the present analysis, the Dufour and Soret effects on unsteady heat-mass transfer of a viscous incompressible Powell-Eyring fluids flow past an expanding/shrinking permeable sheet are reported. The fluid boundary layer develops over the variable sheet with suction/injection to the non-uniform free stream velocity. Under the symmetry group of transformations, the governing equations along with three independent variables, are converted into a system of PDEs with two independent variables. Finally, by employing the order-reduction technique the PDEs are transformed into ODEs, which are then solved numerically. The results are presented graphically and analyzed. The main advantage of this technique is that without any prior knowledge, one can easily find the scaling transformations, expanding velocity, suction/injection velocity, and free-stream velocity. From computed numerical results many important findings are obtained. Most importantly, thermal and concentration overshoots are found for larger values of Dufour and Soret numbers, respectively. Also, thermal and concentration crossing over found for different values of Soret and Dufour numbers, respectively.

Second law analysis of Powell–Eyring fluid flow through an inclined microchannel with thermal radiation

The present paper investigated the Eyring–Powell fluid flow through an inclined microchannel in the presence of radiation and convective heating effects. The energy efficiency has been analyzed via entropy generation of the system. The governing differential equations are converted by using dimensionless parameters into a set of non-dimensionalzed differential equations. The set of these converted equations are solved by using the finite element method. The various pertinent non dimensional parameters on the flow are illustrated graphically and discussed in detail. The thermal performance can be improved through the effects of radiation, viscous heating and convective condition. It is found that, with an increase in Reynolds number, entropy generation decreases near the lower plate but the reverse trend is observed near the upper plate.

Melting Heat Transfer in Thermally Stratified Magnetohydrodynamic Flow of Eyring-Powell Fluid with Homogeneous-heterogeneous Reaction

Features of melting heat transfer as well as homogeneous-heterogeneous reaction in thermally stratified stagnation flow of Eyring-Powell fluid along with heat generation/absorption effects are explored in this article. Fluid flow is examined over a sheet of variable thickness in the presence of stretching phenomena. Variable strength of magnetic field is considered normal to the flow field. Suitable transformations are introduced for the sake of conversion of partial differential equations to ordinary differential equations. Homotopic method is utilized to tackle highly nonlinear problem and series solutions are attained. Behaviors of relevant parameters are portrayed for velocity, thermal and concentration distributions. Graphical results reveal that the concentration profile enhances for higher Schmidt number while it exhibits recessive behavior for increment in homogeneous reaction parameter. Larger values of heterogeneous reaction parameter result in intensified concentration field. Velocity field declines as a result of increment in fluid parameters ε as well as δ*.

Thermal stability and entropy generation of unsteady reactive hydromagnetic Powell-Eyring fluid with variable electrical and thermal conductivities

Theoretical analysis of thermal stability and inherent irreversibility of reactive hydromagnetic Powell-Eyring fluid flow in a fixed vertical channel with variable electrical and thermal conductivities is examined. The conducting reactive fluid is influenced by gravity and axial pressure gradient under bimolecular kinetic rate law. Ignoring the material assumptions, the governing dimensionless equations are solved by finite semi-discretization difference scheme along with integration Fehlberg Runge-Kutta method. The results for the momentum and heat equations, Bejan number, thermal runaway, entropy generation and current density are graphically presented under different thermophysical parameters. The computational results for the shear stress and heat transfer at the wall is also presented and discussed quantitatively. It was observed that the parameter which enhance the rate of entropy generation also augment Bejan number with large pitch ratio. Hence, entropy generation can be minimized at low dissipation and material variables.

Radiative thermal criticality and entropy generation of hydromagnetic reactive Powell–Eyring fluid in saturated porous media with variable conductivity

Theoretical study of inherent irreversibility and thermal runaway of an exothermic reactive Eyring–Powell fluid flow through a saturated porous fixed horizontal channel with thermal radiation and variable electrical conductivity is investigated. The reactive conducting fluid under bimolecular chemical rate law is propelled by pressure gradient. Ignoring the material assumptions, the governing dimensionless equations of the flow model are solved using semi discretization finite difference techniques coupled with weighted residual method. The results in terms of flow rate, temperature, thermal runaway, Bejan number and entropy generation are presented in graphical form. From the results, it is observed that parameter which argument the entropy production rate also enhances the Bejan number. Also, minimization of entropy generation is achieved at low values of thermal radiation, dissipation rate, electric field loading and viscosity variables.

Numerical Treatment for the Three-Dimensional Eyring-Powell Fluid Flow over a Stretching Sheet with Velocity Slip and Activation Energy

In this manuscript, a computational paradigm of technique shooting is exploited for investigation of the three-dimensional Eyring-Powell fluid with activation energy over a stretching sheet with slip arising in the field of fluid dynamics. The problem is modeled and resulting nonlinear system of PDEs is transformed into nonlinear system of ODEs using well-known similarity transformations. The strength of shooting based computing approach is employed to analyze the dynamics of the system. The proposed technique is well-designed for different scenarios of the system based on three-dimensional non-Newtonian fluid with activation energy over a stretching sheet. Slip condition is also incorporated to enhance the physical and dynamical analysis of the system. The proposed results are compared with the bvp4C method for the correctness of the solver. Graphical and numerical illustrations are used to envisage the behavior of different proficient physical parameters of interest including magnetic parameter, stretching rate parameter, velocity slip parameter, Biot number on velocity, and Lewis number on temperature and concentration.

Heat transfer characteristics on MHD Powell-Eyring fluid flow across a shrinking wedge with non-uniform heat source/sink

This report presents the flow and heat transfer characteristics on magnetohydrodynamic non-Newtonian fluid across a wedge near the stagnation point. The fluid flow is time independent and laminar. The radiation and irregular heat sink/source effects are deemed. The system of nonlinear ODEs is attained from PDEs by choosing the proper similarity transformations. Further, the well-known shooting and Runge-Kutta methods are utilized to acquire the problem’s solution subject to assumed boundary conditions. Figures are outlined to emphasize the impact of several parameters on the fields of velocity and temperature. Further, the rate of heat transfer and friction factor are also anticipated and portrayed with the assistance of table. Results indicate that the curves of velocity diminish with shrinking parameter, magnetic field parameter and material fluid parameter. Also the non-uniform heat source/sink parameters play a crucial role in the heat transfer performance.

A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method

A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method

An analytical study on the entropy generation in flow of a generalized Newtonian fluid

In this study, an analytical investigation on pressure driven flow of Powell-Eyring fluid is conducted to understand the irreversibilities due to heat transfer and viscous heating. The flow between infinitely long parallel plates is considered as fully developed and laminar with constant properties and subjected to symmetrical heat fluxes from solid boundaries. The internal heating due to viscous friction accompanies external heat transfer, that is, viscous dissipation term is to be involved in the energy equation. As a cross-check, accuracy of analytical solutions is confirmed by a predictor-corrector numerical scheme with variable step size.