Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet

Krishna, P. Mohan; Sandeep, N.; Reddy, J. V. Ramana; Sugunamma, V.

doi:10.3329/jname.v13i1.25338

Cited by 31 publications

(7 citation statements)

References 26 publications

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“…Hayat et al (2013) adopted the homotopy analysis method to provide insights on linear (simplified) thermal radiation effects on three-dimensional Eyring-Powell fluid within the boundary layer. This theory inspired authors in , Krishna et al (2016) and Sugunamma et al (2016) to describe non-Newtonian Eyring-Powell fluid in various flow characteristics. Recently, Abegunrin et al (2017) deliberated on the motion of the same non-Newtonian liquids due to catalytic surface reaction and revealed that the maximum velocity of any fluid which suits the Eyring-Powell fluid flow over an upper surface of any kind of objects called paraboloid of revolution is guaranteed when the motion is characterized as pure Newtonian fluid flow.…”

Section: Introductionmentioning

confidence: 83%

Scrutinization of thermal stratification, nonlinear thermal radiation and quartic autocatalytic chemical reaction effects on the flow of three-dimensional Eyring-Powell alumina-water nanofluid

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Animasaun

Reddy

et al. 2017

MMMS

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Purpose The purpose of this paper is to scrutinize the effects of nonlinear thermal radiation and thermal stratification effects on the flow of three-dimensional Eyring-Powell 36 nm alumina-water nanofluid within the thin boundary layer in the presence of quartic autocatalytic kind of chemical reaction effects, and to unravel the effects of a magnetic field parameter, random motion of the tiny nanoparticles and volume fraction on the flow. Design/methodology/approach The chemical reaction between homogeneous (Eyring-Powell 36 nm alumina-water) bulk fluid and heterogeneous (three molecules of the catalyst at the surface) in the flow of magnetohydrodynamic three-dimensional flow is modeled as a quartic autocatalytic kind of chemical reaction. The electromagnetic radiation which occurs within the boundary layer is treated as the nonlinear form due to the fact that Taylor series expansion may not give full details of such effects within the boundary layer. With the aid of appropriate similarity variables, the nonlinear coupled system of partial differential equation which models the flow was reduced to ordinary differential equation boundary value problem. Findings A favorable agreement of the present results is obtained by comparing it for a limiting case with the published results; hence, reliable results are presented. The concentration of homogeneous bulk fluid (Eyring-Powell nanofluid) increases and decreases with ϕ and Pr, respectively. The increase in the value of magnetic field parameter causes vertical and horizontal velocities of the flow within the boundary layer to decrease significantly. The decrease in the vertical and horizontal velocities of Eyring-Powell nanofluid flow within the boundary layer is guaranteed due to an increase in the value of M. Concentration of homogeneous fluid increases, while the concentration of the heterogeneous catalyst at the wall decreases with M. Originality/value Considering the industrial applications of thermal stratification in solar engineering and polymer processing where the behavior of the flow possesses attributes of Eyring-Powell 36 nm alumina-water, this paper presents the solution of the flow problem considering 36 nm alumina nanoparticles, thermophoresis, stratification of thermal energy, Brownian motion and nonlinear thermal radiation. In addition, the aim and objectives of this paper fill such vacuum in the industry.

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Section: Introductionmentioning

confidence: 83%

Scrutinization of thermal stratification, nonlinear thermal radiation and quartic autocatalytic chemical reaction effects on the flow of three-dimensional Eyring-Powell alumina-water nanofluid

Kọrikọ

Animasaun

Reddy

et al. 2017

MMMS

Self Cite

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“…They found a depreciation in the thermal field against the fluid parameter, and an escalation was observed with Biot number. Krishna et al [5] computed a dual solution for an unsteady Powell-Eyring model in the presence of thermal radiation. They further elaborated their results for suction and injection cases.…”

Section: Introductionmentioning

confidence: 99%

Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

et al. 2021

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Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers due to their wide applications. This report discusses the flow of Powell–Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory. Afterwards, similarity transformation has been applied to convert PDEs into associated ODEs. These transformed ODEs have been solved the using finite element procedure (FEP) in the symbolic computational package MAPLE 18.0. The applicability and effectiveness of FEM are presented by addressing grid independent analysis. The reliability of FEM is presented by computing the surface drag force and heat transportation coefficient. The used methodology is highly effective and it can be easily implemented in MAPLE 18.0 for other highly nonlinear problems. It is observed that the thermal profile varies directly with the magnetic parameter, and the opposite trend is recorded for the Prandtl number.

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“…Attia et al [5] explored unsteady Couette flow of a thermally conducting viscoelastic fluid with porosity. Krishna et al [6] offered multiple solutions for non-Newtonian fluids along an elongating surface. Hayat et al [7] discussed impressions of radiations and chemical reactions in stretched flows of Jeffrey fluids.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer of Rotational Flow of Unsteady Third-Grade Fluid over a Rotating Cone with Buoyancy Effects

Saleem

2021

Mathematical Problems in Engineering

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Objective of this paper is a study of the impact of heat and mass transfer on time-dependent flow of a third-grade convective fluid due to an infinitely rotating upright cone. An interesting fact is observed that the similarity solutions only exist, if we take the angular velocities of the cone and far away from the fluid as an inverse function of time. The analytical solutions of the reduced ordinary differential equations of third-grade fluids are offered by the optimal homotopy analysis method (OHAM). The results for important parameters are illustrated graphically as well as in tabular form. The precision of the present results is also checked by comparison with the numerical outcomes published earlier. The impact of non-Newtonian fluid parameters is found to decrease the primary skin-friction coefficient. There is an aggregate in Nusselt and Sherwood numbers for increasing the ratio of the buoyancy forces.

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Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet

Abstract: Abstract:This

Cited by 31 publications

References 26 publications

Scrutinization of thermal stratification, nonlinear thermal radiation and quartic autocatalytic chemical reaction effects on the flow of three-dimensional Eyring-Powell alumina-water nanofluid

Scrutinization of thermal stratification, nonlinear thermal radiation and quartic autocatalytic chemical reaction effects on the flow of three-dimensional Eyring-Powell alumina-water nanofluid

Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

Heat and Mass Transfer of Rotational Flow of Unsteady Third-Grade Fluid over a Rotating Cone with Buoyancy Effects

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