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

Khan, Zeeshan; Rasheed, Haroon Ur; Abbas, Tariq; Khan, Waris; Khan, İlyas; Băleanu, Dumitru; Nisar, Kottakkaran Sooppy

doi:10.3390/cryst10030168

Cited by 33 publications

(19 citation statements)

References 42 publications

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“…Now, obtain the solutions of steady flow from (8)(9)(10)(11) as 𝑓(𝜂) = 𝑓 0 (𝜂), 𝑔(𝜂) = 𝑔 0 (𝜂), 𝜃(𝜂) = 𝜃 0 (𝜂),and ∅(𝜂) = ∅ 0 (𝜂), it is assumed { 𝑓(𝜂, 𝜏) = 𝑓 0 (𝜂) + 𝑒 −𝜀𝜏 𝐹(𝜂, 𝜏) 𝑔(𝜂, 𝜏) = 𝑔 0 (𝜂) + 𝑒 −𝜀𝜏 𝐺(𝜂, 𝜏) 𝜃(𝜂, 𝜏) = 𝜃 0 (𝜂) + 𝑒 −𝜀𝜏 𝐻(𝜂, 𝜏) ∅(𝜂, 𝜏) = ∅ 0 (𝜂) + 𝑒 −𝜀𝜏 𝐽(𝜂, 𝜏) (25) Sumera Dero (et al) where the unidentified eigenvalue is 𝜀 where its value needs to fix a stable branch. In addition, 𝐹(𝜂, 𝜏), 𝐺(𝜂, 𝜏), 𝐻(𝜂, 𝜏), and 𝐽(𝜂, 𝜏) all their derivatives are assumed small relative to 𝑓 0 (𝜂), 𝑔 0 (𝜂), 𝜃 0 (𝜂), and ∅ 0 (𝜂).…”

Section: Temporal Stability Analysismentioning

confidence: 99%

“…In addition, 𝐹(𝜂, 𝜏), 𝐺(𝜂, 𝜏), 𝐻(𝜂, 𝜏), and 𝐽(𝜂, 𝜏) all their derivatives are assumed small relative to 𝑓 0 (𝜂), 𝑔 0 (𝜂), 𝜃 0 (𝜂), and ∅ 0 (𝜂). Now, substituting the correlation (25) in Equations (20)(21)(22)(23)(24), we get the following resultant Linearized Eigenvalue Problem (LEVP) system as follows:…”

Section: Temporal Stability Analysismentioning

confidence: 99%

“…The shooting method was then adopted to solve the resultant ODEs and triple solutions were obtained. Some important effects of the MHD on fluid flow can be seen in these articles [22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Analysis of Magnetized Rotating Nanofluid Flow Over nonlinear shrinking surface: Duality and Stability

Dero

Talpur²,

Ghoto³

et al. 2021

SJCMS

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In this study, the MHD effect on boundary layer rotating flow of a nanofluid is investigated for the multiple branches case. The main focus of current research is to examine flow characteristics on a nonlinear permeable shrinking sheet. Moreover, the governing partial differential equations (PDEs) of the problem considered are reduced into coupled nonlinear ordinary differential equations (ODEs) with the appropriate similarity transformation. Numerical results based on the plotted graphs are gotten by solving ODEs with help of the three-stage Labatto IIIA method in bvp4c solver in MATLAB. To confirm numerical outcomes, current results are compared with previously available outcomes and found in good agreement. Skin friction coefficients, Nusselt and Sherwood numbers, velocity profiles, temperature profiles, and concentration profiles are examined. The results show that dual (no) branches exist in certain ranges of the suction parameter i.e., SSc (SSc). Further, profiles of velocity decrease for rising values of Hartmann number in the upper branch, while reverse trend has been noticed in a lower branch. Profiles of temperature and concentration enhance for the increasing values of thermophoresis in both branches. stability analysis of the branches is also done and noticed that upper branch is a stable branch from both branches. Finally, it is noted that the stable branch has symmetrical behavior with regard to the parameter of rotation.

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Section: Temporal Stability Analysismentioning

confidence: 99%

Section: Temporal Stability Analysismentioning

confidence: 99%

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Mathematical Analysis of Magnetized Rotating Nanofluid Flow Over nonlinear shrinking surface: Duality and Stability

Dero

Talpur²,

Ghoto³

et al. 2021

SJCMS

View full text Add to dashboard Cite

show abstract

“…Furthermore, Ishaq et al [15] explored two dimensional nanofluid film stream of Eyring-Powell liquid with variable warmth transmission in the presence of MHD on a shaky permeable extending sheet and announced that porosity parameter diminishes the movement of the fluid movies, and enlarging the nanoparticle concentration effectively expands the rubbing characteristic of Eyring-Powell nanofluid. In recent times, various researches have been made in the field of Eyring-Powell nanofluids that can be found in references [16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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

Ibrahim

Anbessa

2020

Advances in Mathematical Physics

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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.

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“…The unsteady state of mixed convection flow of micropolar fluid moving along an inclined stretching plate has been scrutinized by Kasim et al [12]. Furthermore, some interesting studies regarding fluid flow and heat transfer for various aspects have been investigated, as reported in [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Convective Transport of Fluid–Solid Interaction: A Study between Non-Newtonian Casson Model with Dust Particles

et al. 2020

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The Casson model is a fascinating model, which is genuinely recommended for use with fluids of a non-Newtonian type. The conventional model is not capable to represent the Casson model with the suspension of foreign bodies (dust particles). Due to this, the two-phase model for the mixture of Casson model fluid and dust particles is formulated. This study examines the emerging role of dust particles in changing the behavior of Casson model. In particular, two-phase flow of dusty Casson model with modified magnetic field and buoyancy effect under Newtonian heating boundary condition along a vertically stretching sheet is considered. The equations that govern under Casson model, together with dust particles, are reduced to a system of nonlinear ordinary differential equations by employing the suitable similarity variables. These transformed equations are then solved numerically by implementing the Runge–Kutta–Fehlberg (RKF45) method. The numerical results of skin friction coefficient plus Nusselt number are displayed graphically. The results revealed the fluid’s velocity tends to deteriorate due to the existence of dust particles, whilst its temperature is increased. The two-phase flow is one of the mathematical modeling techniques for multiphase flow, where the relationship between the fluid and solid is examined more closely. It is expected that the present findings can contribute to the understanding of the theory of two-phase flow mathematically, which will continue to produce significant research in this field.

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

Cited by 33 publications

References 42 publications

Mathematical Analysis of Magnetized Rotating Nanofluid Flow Over nonlinear shrinking surface: Duality and Stability

Mathematical Analysis of Magnetized Rotating Nanofluid Flow Over nonlinear shrinking surface: Duality and Stability

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

Convective Transport of Fluid–Solid Interaction: A Study between Non-Newtonian Casson Model with Dust Particles

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