A mathematical model for entropy generation in a Powell-Eyring nanofluid flow in a porous channel

Ogunseye, Hammed Abiodun; Sibanda, Precious

doi:10.1016/j.heliyon.2019.e01662

Cited by 27 publications

(11 citation statements)

References 33 publications

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“…The results indicate significant decrease in heat and mass transfer by enhancing Eyring-Powell material parameter. A study is being carried by Ogunseye et al [32] that focuses the thermal properties and characteristics of Eyring-Powell nanofluid for minimum entropy loss. A recent study of Prand et al [33] discusses the boundary layer flow of Eyring-Powell fluid with thermal and physio-chemical aspects of heat and fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection

Bilal

Ashbar

2020

J Egypt Math Soc

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This article presents the study of heat transfer under the influence of mixed convective flow of Eyring-Powell fluid over a stratified stretching sheet. The impact of heat generation/absorption is also discussed. The fluid is considered to be a viscous, incompressible, two dimensional, and laminar. Transformation, based on the similarity variables, is used for the alteration of modeled governing partial differential equations (PDEs) into ordinary differential equations (ODEs). The shooting approach is introduced to accomplish the mathematical solution of governing equations. Runge-Kutta method of order four is used for the integration purpose and Newton’s method helps to refine initial guesses. All the programming is done on MATLAB. The effects of emerging parameters on temperature and velocity profiles are discussed through graphs. The related physical properties of flow, i.e., the skin friction coefficient and Nusselt number are described graphically for various parameters. Numerical values for the Nusselt number and skin friction coefficient are tabulated for the various parameters. It is noted that increment in thermal stratification parameter yields fall in both velocity and temperature of fluid and a reverse relation is observed for the heat generation parameter.

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Section: Introductionmentioning

confidence: 99%

Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection

Bilal

Ashbar

2020

J Egypt Math Soc

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“…Khan et al [26] explored the flow of MHD mixed convection of Eyring-Powell nanofluid over a tilted plane with an exponentially varying viscosity. Ogunseye and Sibanda [27] studied the entropy generation in a Powell-Eyring Al 2 O 3 −water nanofluid flow passing through a vertical channel subjected to a convective cooling. The result shows that the concentration of nanoparticles as well as the Brinkman number play important roles in reducing the entropy generation rate in that channel.…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet

Halim

Noor

2021

Mathematics

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A stagnation-point flow of a Powell–Eyring nanofluid along a vertical stretching surface is examined. The buoyancy force effect due to mixed convection is taken into consideration along with the Brownian motion and thermophoresis effect. The flow is investigated under active and passive controls of nanoparticles at the surface. The associating partial differential equations are converted into a set of nonlinear, ordinary differential equations using similarity conversions. Then, the equations are reduced to first-order differential equations before further being solved using the shooting method and bvp4c function in MATLAB. All results are presented in graphical and tabular forms. The buoyancy parameter causes the skin friction coefficient to increase in opposing flows but to decrease in assisting flows. In the absence of buoyancy force, there is no difference in the magnitude of the skin friction coefficient between active and passive controls of the nanoparticles. Stagnation has a bigger influence under passive control in enhancing the heat transfer rate as compared to when the fluid is under active control. Assisting flows have better heat and mass transfer rates with a lower magnitude of skin friction coefficient as compared to opposing flows. In this case, the nanofluid parameters, the Brownian motion, and thermophoresis altogether reduce the overall heat transfer rates of the non-Newtonian nanofluid.

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“…Due to this fact, various non-Newtonian constitutive models have been presented by scientists and researchers such as the Sisko-fluid model, the Casson fluid model, the FENE-P fluid model, the Power-law fluid model, the viscoelastic fluid model, the micropolar fluid model, and the Eyring-Powell fluid model [1][2][3][4][5][6][7][8][9][10] . Ogunseye and Sibanda [11] worked on the Eyring-Powell fluid model subject to various boundary constraints. First, this fluid model is derived from the kinetic theory of fluids rather than the empirical relation.…”

Section: Introductionmentioning

confidence: 99%

Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility

Nazeer

Khan

Kadry

et al. 2020

Appl. Math. Mech.-Engl. Ed.

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The unavailability of wasted energy due to the irreversibility in the process is called the entropy generation. An irreversible process is a process in which the entropy of the system is increased. The second law of thermodynamics is used to define whether the given system is reversible or irreversible. Here, our focus is how to reduce the entropy of the system and maximize the capability of the system. There are many methods for maximizing the capacity of heat transport. The constant pressure gradient or motion of the wall can be used to increase the heat transfer rate and minimize the entropy. The objective of this study is to analyze the heat and mass transfer of an Eyring-Powell fluid in a porous channel. For this, we choose two different fluid models, namely, the plane and generalized Couette flows. The flow is generated in the channel due to a pressure gradient or with the moving of the upper lid. The present analysis shows the effects of the fluid parameters on the velocity, the temperature, the entropy generation, and the Bejan number. The nonlinear boundary value problem of the flow problem is solved with the help of the regular perturbation method. To validate the perturbation solution, a numerical solution is also obtained with the help of the built-in command NDSolve of MATHEMATICA 11.0. The velocity profile shows the shear thickening behavior via first-order Eyring-Powell parameters. It is also observed that the profile of the Bejan number has a decreasing trend against the Brinkman number. When ηi → 0(i = 1, 2, 3), the Eyring-Powell fluid is transformed into a Newtonian fluid.

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A mathematical model for entropy generation in a Powell-Eyring nanofluid flow in a porous channel

Cited by 27 publications

References 33 publications

Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection

Flow and heat transfer analysis of Eyring-Powell fluid over stratified sheet with mixed convection

Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet

Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility

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