Variable viscosity and thermal conductivity effects on Williamson fluid flow over a slendering stretching sheet

Dada, M.S.; Onwubuoya, Cletus

doi:10.1108/wje-08-2019-0222

Cited by 17 publications

(14 citation statements)

References 27 publications

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“…Under the above assumptions, the usual Boussinesq's approximation, the governing equations (continuity, momentum, energy, concentration) accordingly (see Akolade and colleagues 10,17,[44][45][46] ).…”

Section: Model Formulation Analysismentioning

confidence: 99%

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Thermophoretic movement, heat source, and sink influence on the Williamson fluid past a Riga surface with positive and negative Soret‐Dufour mechanism

et al. 2022

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This study investigates the boundary layer motion of Williamson fluid over an electromagnetic with thermophoretic movement, variable thermal conductivity and viscosity, nonlinear radiation, and ± $\pm $Soret‐Dufour influences. The real prediction of regional movement and temperature‐dependent properties of the non‐Newtonian fluids in real space (three‐dimensional [3D]) becomes imperative due to their numerous industrial, engineering, and biomedical use. This flow motion is induced as a result of the introduced mechanism (Riga plate) capable of controlling a weakly hydromagnetic flow. To actualize the aim of this study, the formulated governing partial differential equations conveying the flow model of Williamson fluid in a 3D sense are transformed to systems of ordinary differential equations (ODEs) via applicable similarity variables. The reduced systems of ODEs are solved numerically by the collocation approach. Therein, the Riga surface is seen preventing the heat source/sink impact on the flow fields, the thermophoretic impact indicates a more accumulation of Williamson fluid particles in the cold region thus resulting in higher fluid concentration. Thermal variability energizes the energy field positively, momentum boundary layer reduction prevails for higher Williamson number while heat source dominates the temperature field and heat sink showcases its ability to enhance the fluid concentration in contrast to the heat source.

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Section: Model Formulation Analysismentioning

confidence: 99%

“…However, the result portrays the same effect for the two instances of the heat models (sink and source). 10,12,17,18,44,45 were assumed constant throughout the flow examination else otherwise stated. At this juncture, it is mentionable that Q > 0 and Q < 0 correspond to heat source and sink, respectively.…”

mentioning

confidence: 99%

Thermophoretic movement, heat source, and sink influence on the Williamson fluid past a Riga surface with positive and negative Soret‐Dufour mechanism

et al. 2022

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“…Mabood et al 3 examined the Jeffrey fluid flow with magnetic field impacts on an elongating plate. Dada and Onwubuoya 4 explored the influences of thermal conductivity and variable viscosity on Williamson liquid on stretching slendering surface. Choudhari et al 5 followed the convergent technique to explore peristaltic flow in a Herschel–Bulkley fluid configured by elastic tube.…”

Section: Introductionmentioning

confidence: 99%

Flow of three‐dimensional radiative Williamson fluid over an inclined stretching sheet with Hall current and nth‐order chemical reaction

2021

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In the current communication, three‐dimensional Williamson fluid flow past a bidirectional inclined stretching plate with novel Hall current, nonuniform heat source/sink, and nth‐order chemical reaction features are investigated. Rosseland's diffusion model is defined for the radiation heat transfer. The nonlinear governing derivative equations satisfying the flow are transmuted to the coupled derivative equations by employing the local similarity quantities and then solved numerically through the Runge–Kutta–Fehlberg method utilizing the shooting quadrature. An inclusive analysis is reported via graphs for the flow rate field, temperature, and concentration distributions for different evolving terms of immense concern. Wall dragging effect and wall heat gradient and wall concentration gradient have been examined, plotted, and described. The detailed geometry reveals that dimensionless velocity field is monotonically rising as the Hall parameter rises. The chemical reaction concentration for the Williamson fluid is enhanced with expanding values of the magnetic field parameter. Transitional values of wall stress components upturn with an increase in Hall parameter while the Williamson term is boosted. Nusselt number is reduced as the Williamson term rises and the Sherwood number enhances with a rising chemical reaction term. The results are verified for limiting cases by comparing with various investigations and found to have excellent accuracy.

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“…Their flow model analysis was determined analytically employing homotopy analysis, and they discovered that the Williamson nanofluid parameter greatly affects the fluid flow. The study of Dada and Onwubuoya 4 explored the behavior of a Williamson liquid flow when varying the viscosity and thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Soret, viscous dissipation, and thermal radiation effects on MHD free convective flow of Williamson liquid with variable viscosity and thermal conductivity

Onwubuoya

Dada

2021

Heat Trans

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The flow model of heat and mass transport of a Williamson liquid through a porous stretching sheet with radiation, viscous dissipation, Soret effect, and chemical reaction has been explored. The motion starts from the slot to the free stream. The present study is unique, because it examines the flow of a Williamson fluid under the influence of variable viscosity and thermal conductivity. The Williamson fluid term as added to the momentum and energy equation is considered in a nonlinear form as compared with other studies in literature. The flow model is a set of coupled highly nonlinear partial differential equations that are simplified and lead to coupled nonlinear total differential equations by employing sufficient similarity variables. The simplified equations are later solved by utilizing the spectral homotopy analysis method. Our experiment shows that the injected variable viscosity, together with thermal conductivity, has a great impact on the fluid profiles. An increase in the Williamson parameter (β) leads to a decrease in the thickness of the hydrodynamic thermal layer. Our numerical calculations were compared with earlier published work, and they were discovered to be correct.

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Variable viscosity and thermal conductivity effects on Williamson fluid flow over a slendering stretching sheet

Cited by 17 publications

References 27 publications

Thermophoretic movement, heat source, and sink influence on the Williamson fluid past a Riga surface with positive and negative Soret‐Dufour mechanism

Thermophoretic movement, heat source, and sink influence on the Williamson fluid past a Riga surface with positive and negative Soret‐Dufour mechanism

Flow of three‐dimensional radiative Williamson fluid over an inclined stretching sheet with Hall current and nth‐order chemical reaction

Soret, viscous dissipation, and thermal radiation effects on MHD free convective flow of Williamson liquid with variable viscosity and thermal conductivity

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