Flow Of Eyring-Powell Nanofluid Research Articles

Mixed convection and melting rheology in dual stratified Eyring-Powell nanofluid flow over surface of variable thickness: Buongiorno model approach

Eyring Powell fluid flow over linear as well as nonlinear stretching surfaces has been discussed in literature by several researchers. However, lesser attention has been paid for such studies with surfaces comprising variable thickness. Present communication inculcates the novel features regarding melting heat transport in Eyring Powell nanofluid over a surface of variable thickness while keeping in view the aspects of radiative heat transfer. Influence of thermophoresis and Brownian motion phenomena is discussed by making use of Buongiorno model approach. Here, the flow characteristics are analyzed in mixed convective and dual stratified porous medium. Appropriate transformations are imposed in order to convert partial differential equations to ordinary differential equations possessing highly nonlinear form. Homotopy analysis method is utilized to achieve desired convergent series solutions. Impact of several emerging variables on velocity temperature and concentration distributions is analyzed graphically. Expressions for drag force and rate of heat transfer are evaluated and demonstrated graphically. Nano particle concentration increases for higher Brownian motion parameter. Enriched thermal field is attained due to rise in thermophoretic parameter. However, recessive behavior of velocity profile results due to higher fluid parameters. Thermal field rises as a result of larger values of mixed convection parameter while it decays gradually for enhanced melting parameter.

Entropy generation minimization in bio-convective flow of nanofluid with activation energy and gyrotactic micro-organisms

This article addresses the entropy generation in mixed convection magnetohydrodynamics Eyring–Powell nanofluid flow toward a permeable surface of a cylinder. The flow is modeled considering heat generation and chemical reaction aspects. The influence of buoyancy forces, magnetic field, and thermal radiation is also considered. Moreover, activation energy, viscous dissipation, and permeability effects on bio-nanofluid flow are assimilated in modeling of concentration and energy relations. Total entropy generation is modeled in view of the second thermodynamics law. The governing system of PDEs is deduced by incorporating boundary layer assumptions. Relevant transformations are used to reduce the dimensional flow model into a non-dimensional one. The built-in shooting technique and the NDSolve code in Mathematica software are used to handle the dimensionless flow expressions. Variation in velocity, temperature, concentration, motile micro-organisms, Bejan number, and entropy generation with respect to the involved parameters is scrutinized graphically. Surface drag force, heat transfer rate, mass transfer rate, and density number are further calculated and investigated. Important results are summarized at the end.

MHD Eyring–Powell nanofluid past over an unsteady exponentially stretching surface with entropy generation and thermal radiation

AbstractThis study's primary objective is to analyze the entropy generation in an unsteady magnetohydrodynamics (MHD) Eyring–Powell nanofluid flow. A surface that stretched out exponentially induced flow. The influences of thermal radiation, thermophoresis, and Brownian motion are also taken into consideration. The mathematical formulation for the transport of mass, momentum, and heat described by a set of partial differential equation is used, which is then interpreted by embracing the homotopy analysis method and with a fourth‐order precision program (bvp4c). Graphical results display the consequences of numerous parameters on velocity, temperature, concentration, and entropy generation. Moreover, escalating amounts of the magnetic parameter, thermal radiation parameter, Reynolds number, and Brinkman number improve the entropy profile of the nanofluid. The rate of heat flux and the mass flux conspicuously improves for non‐Newtonian fluid as compared to Newtonian fluid.

Exothermic impact on Eyring-Powell nanofluid flow through a heated surface embedded in porous medium with thermal radiation: a numerical study

The foremost aim of our study is to discuss the unsteady 2D MHD Powell-Eyring flow produced by a flat stretching surface. An incompressible chemical reactive MHD Eyring- Powell fluid immersed in porous medium filled the convective heated stretched sheet with the appearance of nanoparticles. A thorough in- vestigation is performed to study impacts of exothermic, first order chemical reactions and thermal radiation on the fluid flow. This study also assesses the heat and mass boundary conditions. The model utilized for nanoliquid elaborates the influence of thermophoresis and Brownian motion. Moreover, an efficient finite difference method is used and a numerical solution is obtained for the resulting nonlinear PDEs with appro- priate boundary conditions. A detailed discussion regarding how the principal variables affects the flow and thermal fields, is carried out. It is also discussed that how the flow and heat transfer processes is affected by the various parameters of interest. In addition to all this, the physical quantities such as Nusselt number, drag coefficient and mass transfer are calculated keeping in view their significance in engineering.

Computational single phase comparative study of inclined MHD in a Powell–Eyring nanofluid

AbstractIn this study, the heat transfer and entropy of transient non‐Newtonian Powell–Eyring nanofluid flow is studied. The nanofluid flows over a stretched flat surface, moving nonuniformly. The flow and heat transfer properties are analyzed subject to a convective heated slippery surface. This study also examined the thermal radiation, nanoparticle shapes, inclined magnetic field (B), and joule heating. The governing equations of flow are formulated in partial differential equations (PDEs). A numerical technique utilizes the Keller Box Method to find the similarity solution of the reduced ordinary differential equations, converted from PDEs by using an appropriate transformation. Two different nanofluids, copper–methanol (Cu–MeOH) and silicon carbide–methanol (SiC–MeOH), are considered in the analysis. Significant results of various parameters for the flow, heat, Skin friction (Cf), Nusselt number (Nu), and entropy analysis are described graphically. This study's remarkable finding is that the thermal conductivity in Powell–Eyring phenomena gradually increases compared to the conventional fluid. The Cu–MeOH based nanofluid is found to be a superior thermal conductor instead of the SiC–MeOH based nanofluid. The entropy of the system exaggerates with the incorporation of nanoparticle volume fraction , thermal radiation Nr, and material parameter . It is found that the slip parameters work as a retarded force to the system and decrease the system's entropy.

Numerical and scale analysis of non-Newtonian fluid (Eyring-Powell) through pseudo-spectral collocation method (PSCM) towards a magnetized stretchable Riga surface

A numerical simulation of a two-dimensional Eyring-Powell nanofluid flow is carried out through a Riga plate with radiative walls. Simultaneous contributions of chemical reaction and activation energy have also been taken into account on the mixed convection flow. Lubrication effects are applied by considering second order slip boundary condition in order to reduce the role of skin friction. A set of highly nonlinear and coupled differential equations are tackled with the help of “Pseudo-spectral collocation method” by developing numerical code on MATLAB. A detailed parametric study is performed that reveals that more energy adds to the system in response to slip parameter and Brownian motion of the nano-particles. Numerical results have also been compiled and tabulated. This is worth noticing that skin friction coefficient reduces due to modified Hartmann factor while heat flux is an increasing function of Prandtl number. However, there is a prominent increase in mass flux against all parameter, except activation energy.

Innovations in Eyring–Powell radiative nanofluid flow due to nonlinear stretching sheet with convective heat and mass conditions: Numerical study

ABSTRACT The augmentation of heat and mass transfer in an industrial process due to convective boundary conditions plays an important role which cannot be ignored and the study lead to saving energy, reducing process time and increasing thermal rating. The impact of nonlinear thermal radiation on Eyring-Powell nanofluid flow over a nonlinear elongating sheet with Joule and viscous dissipation is investigated. The well-posed boundary layer problem is reduced into a highly nonlinear coupled ordinary differential system by adopting similarity transformations. The resultant equations subject to convective temperature and concentration conditions are then solved by employing a Runge-Kutta-Fehlberg 45 order numerical scheme combined with shooting technique. The flow characteristics affected by the pertinent parameters are calculated and presented through the graphs. It is witnessed that the increase in mass Biot number and Lewis number aggregates to rise in the Sherwood number. Also, the rate of heat transfer coefficient rises with growing values of thermal Biot number and radiation parameter. These investigations are of great importance in food processing, crystal growth, fibre and wire coating, production of glass fibres and in many possible areas.

Numerical exploration of the features of thermally enhanced chemically reactive radiative Powell–Eyring nanofluid flow via Darcy medium over non-linearly stretching surface affected by a transverse magnetic field and convective boundary conditions

This communication lineup the characteristics of MHD, heat sink/source, and convective boundary conditions in chemically reactive radiative Powell–Eyring nanofluid flow via Darcy channel using a nonlinearly settled stretching sheet/surface. A binary chemical reaction term is considered in the model. Nonlinear radiation is accounted within the flow. The model involves effect of heat sink/source. Convective boundary conditions are employed. Brownian motion and Thermophoresis are considered. An applied transverse magnetic field effect is considered that impacts through an inclined angle for enhancement of electromagnetic conductance of the nanofluid. Furthermore, low Reynolds is assumed to dismiss the induction of magnetic field. The so-formulated boundary layer governing equations consist of two variables in Cartesian coordinates that are converted to ordinary differential equations (ODEs) via suitably moderated transformations. The solutions are obtained numerically and portrayed graphically as well as in the form of data tables. Behavior of the flow profiles is interpreted for various fluid parameters. The outcomes are plotted for both nonlinear and linear stretching rates of surface. The change in Skin-friction, and Nusselt and Sherwood factors is noted for both the linear and nonlinear stretching cases. The outcomes indicate that the enhanced porosity factor is a major source of reduction in fluid velocity and enhancement of the drag force. Furthermore, the involvement of radiation factor sufficiently enhances the temperature distribution. The results obtained here are useful in industrial applications of nanofluids, especially in designing heating equipment, propulsion devices, gas turbines, nuclear plants, space-type vehicles, satellites, and many others.

Heat and mass transfer analysis for bioconvective flow of Eyring Powell nanofluid over a Riga surface with nonlinear thermal features

AbstractThis study aims to explore the rheological consequences of Eyring Powell nanofluid along with the swimming characteristics of gyrotactic microorganisms over the surface of the Riga plate which is embedded in a porous medium. The bioconvection fluid flow phenomenon in the presence of perpendicularly applied magnetic field is investigated. The effects of nonlinear thermal radiation, heat source/sink, and activation energy subject to convective‐Nield boundary conditions are utilized in energy and concentration equations. A precise similarity transformation helps us to transform governing partial differential equations into ordinary differential equations and then numerically tackled through a well‐known shooting method. The upshots of several pertinent parameters upon the dimensionless profiles of velocity, temperature, concentration, and microorganisms are scrutinized. The heat as well as mass transfer rates and local density number are also calculated. To show the accuracy of the adopted numerical scheme a tabular comparison in limiting case is made between the present results and the results from the literature. Finally, the current study tells us that the pertinent parameters have produced a significant influence on the boundary layer profiles.

A Simplified Finite Difference Method (SFDM) for EMHD Powell–Eyring Nanofluid Flow Featuring Variable Thickness Surface and Variable Fluid Characteristics

We study constant and variable fluid properties together to investigate their effect on MHD Powell–Eyring nanofluid flow with thermal radiation and heat generation over a variable thickness sheet. The similarity variables assist in having ordinary differential equations acquired from partial differential equations (PDEs). A novel numerical procedure, the simplified finite difference method (SFDM), is developed to calculate the physical solution. The SFDM described here is simple, efficient, and accurate. To highlight its accuracy, results of the SFDM are compared with the literature. The results obtained from the SFDM are compared with the published results from the literature. This gives a good agreed solution with each other. The velocity, temperature, and concentration distributions, when drawn at the same time for constant and variable physical features, are observed to be affected against incremental values of the flow variables. Furthermore, the impact of contributing flow variables on the skin friction coefficient (drag on the wall) and local Nusselt (heat transfer rate on the wall) and Sherwood numbers (mass transfer on the wall) is illustrated by data distributed in tables. The nondimensional skin friction coefficient experiences higher values for constant flow regimes especially in comparison with changing flow features.

Nonlinear radiative Eyring-Powell nanofluid flow along a vertical Riga plate with exponential varying viscosity and chemical reaction

This article reports the heat and mass transfer characteristics in a nonlinear radiative Eyring-Powell nanofluid passing a vertical Riga plate with an exponential varying viscosity in a porous medium. The developed model is influenced by convective surface boundary conditions, viscous dissipation, higher order chemical reaction, Brownian motion as well as thermophoresis effect. The formulated equations are further simplified into dimensionless form by similarity conversion approach while the solution to the resultant equations is found by Galerkin weighted residual method. In the limiting scenarios, the results obtained agree with published works in the open literature while the reactions of the essential controlling parameters are investigated on the dimensionless quantities through various graphs. The analysis reveals that a hike in the modified Hartmann number and the material parameter compels the velocity profiles to escalate whereas the converse is the case with an uplift in the viscosity and porosity parameters. More so, the thermal field shrinks due to a rise in the material parameter while the reaction exponent term boosts the concentration profile.

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

This investigation presents novel applications for bioconvection flow of non-Newtonian fluid with diverse flow features. The developed unsteady bio-nano-transport model is formulated under the influence of some novel features such as variable thermal conductivity, heat absorption/generation and activation energy. In contrast to typical investigations, the flow has been originated by accelerated porous plate which conferred the suction and injection phenomenon. The thermal aspects of magnetized nanoparticles are evaluated by employing prestigious Buongiorno’s model. The flow model is constituted via partial differential equations for which dimensionless form is availed before develop the analytical expressions. The convergent technique namely homotopy analysis procedure is followed to suggest the solution. The validation of solution has been done by comparing it with already reported investigations and finds an excellent accuracy. The rheological characteristics of Eyring Powell fluid and thermal features of nanoparticles against involved control parameters are explained through various graphs. The reported results may contribute effective role in enhancement of thermal processes, cooling phenomenon, bio-fuels etc.

Hall and Ion Slip Effects on Mixed Convection Flow of Eyring-Powell Nanofluid over a Stretching Surface

The purpose of this research is to inspect the mixed convection flow of Eyring-Powell nanofluid over a linearly stretching sheet through a porous medium with Cattaneo–Christov heat and mass flux model in the presence of Hall and ion slip, permeability, and Joule heating effects. Proper similarity transforms yield coupled nonlinear differential systems, which are solved using the spectral relaxation method (SRM). The story audits show that the present research problem has not been studied until this point. Efficiency of numerous parameters on velocity, temperature, and concentration curves is exposed graphically. Likewise, the numerical values of skin friction coefficients, local Nusselt, and Sherwood numbers are computed and tabulated for some physical parameters. It is manifested that fluid velocities, skin friction coefficients, local Nusselt, and Sherwood numbers promote with the larger values of Eyring-Powell fluid parameter ε. It is also noticed that primary velocity promotes with larger values of mixed convection parameter λ, Hall parameter βe, and ion slip parameter βi, while the opposite condition is observed for secondary velocity, temperature, and concentration. Furthermore, comparative surveys between the previously distributed writing and the current information are made for explicit cases, which are examined to be in a marvelous understanding.

Simultaneous effects of bioconvection and velocity slip in three-dimensional flow of Eyring-Powell nanofluid with Arrhenius activation energy and binary chemical reaction

Recent investigations relate the enhancement of extrusion processes and transportation of heat systems via solar radiation and utilization of nanoparticles. The prime aim of the current exploration is to analyze the rheology of three-dimensional magnetized Eyring-Powell nanofluid in the presence of velocity slip, thermal radiation and Arrhenius activation energy. The suggested flow model attains both nanoparticles and gyrotactic microorganisms. The dimensionless system for flow problem is introduced with utilization of convenient transformation. The self similar solution of converted equations is integrated numerically with the help of well-known shooting technique via MATLAB software. The aspects of pertinent parameters like combine parameter Ha, slip parameter α, stretching parameter β, Biot number Bi, Lewis number Le, Peclet number Pe, bio-convection Lewis number Lb are graphically influenced for velocities, temperature, nanoparticles concentration and density of motile microorganism. The nanoparticles significance for each physical quantity is comprehensively pointed out. Study revealed that an interaction of buoyancy forces resists the fluid particles movement near the surface effectively. It is further observed that slip factor enhanced the both heat and mass transportation phenomenon. An increment in local Nusselt and Sherwood numbers is resulted with variation of mixed convection parameter and Prandtl number. The reported results are valuable for the energy transportation enhancement and applications of bio-nanofuels cells.

Effect of nonuniform heat source/sink, and viscous and Joule dissipation on 3D Eyring–Powell nanofluid flow over a stretching sheet

Abstract The aim of this paper is to explore the effect of heat source/sink, and space- and temperature-dependent viscous and Joule dissipation on 3D magnetohydrodynamic radiating Eyring–Powell nanofluid streamline flow with convective conditions past a stretching sheet. The coupled nonlinear flow, thermal, and species phenomena equations are transformed into a system of coupled nonlinear ordinary differential equations through suitable similarity transformations with corresponding boundary conditions. The transformed dimensionless equations are then solved analytically with the Adomian decomposition method. A comprehensive study is conducted on the influence of sundry physical dimensionless parameters governing the flow velocity, temperature, and concentration distributions. For parameters of engineering interest, the computed numerical results are presented with the aid of tables. Furthermore, the present solutions agree with the earlier reported results in specific cases, and an excellent correlation is witnessed. The present analysis is of great interest germane to cooling of metallic plates, polishing of artificial heart valves, oil pipeline friction reduction in the oil industry, flow tracers, enhanced oil recovery, and separation processes in chemical industries and petroleum extraction.

Significance of nonlinear thermal radiation in 3D Eyring–Powell nanofluid flow with Arrhenius activation energy

In this paper, a mathematical analysis for three-dimensional Eyring–Powell nanofluid nonlinear thermal radiation with modified heat plus mass fluxes is investigated. To enhance the dynamical and physical study of structure, the slip condition is introduced. A Riga plate is employed for avoiding boundary-layer separation to diminish the friction and pressure drag of submarines. To evaluate the heat transfer, the Cattaneo–Christov heat flux model is implemented via appropriate transformation. A comparison between bvp4c results and shooting technique is made. Graphical and numerical illustrations are presented for prominent parameters.

Activation Energy Impact on Chemically Reacting Eyring–Powell Nanofluid Flow Over a Stretching Cylinder

The purpose of this research is to scrutinize the stagnation point flow of chemically reacting Powell–Eyring nanofluid past an inclined cylinder using the impact of activation energy with Cattaneo–Christov heat flux. Flow formulation is developed by considering the impact of nonlinear thermal radiation, binary chemical reaction, non-Fourier heat flux and the Buongiorno nanofluid model. Proper transforms yield highly nonlinear differential systems, which are solved using shooting procedure with the fourth-order R–K (Runge–Kutta) method. Comparative reviews between the formerly published literature and the current data are made for specific cases, which are inspected to be in a tremendous agreement. The narrative reviews show that the current research problem has not premeditated so far. Effectiveness of innumerable parameters is publicized graphically on velocity, temperature and concentration curves cases of various angles 0° horizontal cylinder, 45° inclined cylinder and 90° vertical cylinder. It is manifested that fluid velocity promotes with the larger values of velocity ratio. It is also noticed that concentration declines when destructive chemical reaction enhances, whilst the antithesis direction is noticed in the condition of the generative chemical reaction. Furthermore, the stream lines are closer to the cylindrical wall when α = 90° and the stream lines are far away to the cylindrical wall when α = 90°.

A novel model to analyze Darcy Forchheimer nanofluid flow in a permeable medium with Entropy generation analysis

A novel mathematical model is envisaged to scrutinize the Darcy Forchheimer 3D Powell Eyring nanofluid flow in a porous medium. Flow is taken under the influence of zero mass flux and convective boundary conditions at the surface and a chemical reaction in the mass equation. The heat transfer flow is scrutinized with non-linear thermal radiation. Entropy generation analysis of the envisioned model is also conducted. The Homotopy Analysis method to yield the series solutions for the envisioned model. The graphs are plotted to witness the characteristics of several parameters versus velocity, heat, and mass distributions and are well cogitated accordingly. The findings show that the velocity is decreasing the function of Darcy-Forchheimer number. Further, the Biot number large values boost the fluid temperature. The outcomes obtained in the analysis are substantiated when compared with a published result in the literature. An outstanding matching is achieved in this regard.

Lie group analysis of a Powell–Eyring nanofluid flow over a stretching surface with variable properties

New applications of nanofluids that have enhanced thermo-physical properties have spurred new studies into the flow and heat transfer in nanofluids in the last decade. Most reported studies have considered the case where the fluid viscosity and thermal conductivity depend only on the size of nanoparticles. However, experimental data show that these properties may depend on the size of nanoparticles and the temperature. In this study, we investigate the flow and heat transfer in a Powell–Eyring nanofluid flow past a stretching surface using the nanofluid viscosity and thermal conductivity models derived from experimental data. Using Lie group analysis, the equations describing the flow and energy balance are reduced to a system of coupled differential equations. These equations are then solved using an efficient iterative spectral local linearization method. The computational results show that increasing the nanoparticle volume fraction and thermal radiation parameter enhances the temperature profiles, while an increase in the fluid parameter increased the velocity profiles. In addition, among other results, the Nusselt number increases with an increase in the temperature ratio parameter and thermal radiation. The results from this study may be useful to engineers in designing cooling devices for the enhancement of thermal systems.

Eyring–Powell nanofluid flow with nonlinear mixed convection: Entropy generation minimization

Background: Entropy is the amount of energy which is lost during any irreversible process. Here our main focus is that how can we reduce this energy loss to enhance the capability of our system. Blood is an example of Eyring–Powell fluid. Many strategies are used to rise the capacity of heat transport. Heat transport can be enhanced by intensifying the materials thermal conductivity through nanoparticles. Thermal conductivity of the material can be enhanced by adding nanoparticles in base fluid. The objective of this work is to discuss entropy generation in MHD Eyring–Powell nanofluid flow. The flow is generated by a linear stretchable surface. Current analysis includes the effects of viscous dissipation, nonlinear mixed convection and Joule heating. Nanoparticles analyzed the consequences of Brownian motion and thermophoresis effects.Method: The boundary layer flow equations are solved for series solutions by applying homotopic technique.Results and conclusion: Graphical results of involved quantities like entropy generation, velocity, concentration and thermal fields are presented. Skin friction, Sherwood and Nusselt number are numerically scrutinized.