Modeling and numerical simulation of micropolar fluid over a curved surface: Keller box method

Shabbir, Tayyaba; Mushtaq, Muhammad; Khan, Masood; Hayat, Tasawar

doi:10.1016/j.cmpb.2019.105220

Cited by 15 publications

(5 citation statements)

References 36 publications

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“…7 Recent studies on the curved surface, exponentially stretching curved surface and irregular surfaces emphasizes on the importance of its applications in biological and engineering industries. [8][9][10][11][12] Carreau fluids are a type of generalized Newtonian fluids whose model was put forth by Carreau in 1698. Power law models are enable to predict the viscosity for very high and low shear rate.…”

Section: Introductionmentioning

confidence: 99%

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Study of the Carreau fluid over a linearly curved stretching sheet: A numerical approach

Shabbir,

Fatima,

Mushtaq

2024

Advances in Mechanical Engineering

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Carreau fluid flow over a linearly curved stretching surface has significant applications in manufacturing industries. This study focuses on the impact of various parameters on the velocity, temperature, pressure skin friction, and heat transfer coefficient of a 2D Carreau flow. Both shear thinning (pseudoplastic) and shear thickening (dilatant) behaviors are considered. The parameters include suction, non-dimensional radius of curvature, Weissenberg number, magnetic parameter, power-law index, Eckert number (viscous dissipation parameter), and Prandtl number. The effects of viscous dissipation, magnetic field, convective boundary conditions, and suction are also taken into account. The study reveals that the flow velocity decreases with increasing magnetic parameter, curvature factor, and suction, but increases with the Weissenberg number and power law index. The heat transfer rate is reduced by the curvature factor, Weissenberg number, suction, power-law index, and Prandtl number, while the magnetic parameter has the opposite effect. The boundary value problem is simplified through appropriate similarity transformation and solved numerically using the shooting method and Matlab’s built-in function bvp4c. The results obtained from these two methods show good agreement. The findings also align well with existing literature in some limiting cases, confirming the validity of the study.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of the Carreau fluid over a linearly curved stretching sheet: A numerical approach

Shabbir,

Fatima,

Mushtaq

2024

Advances in Mechanical Engineering

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“…Micropolar non‐Newtonian hydromagnetic flow from a curved extending sheet was explored by Naveed et al 28 Bisht and Bég 29 investigated the non‐Newtonian magnetic nanofluid flow doped with microorganisms from a curved stretching surface using the Sisko high shear rate model. The heat transfer characteristics of power‐law rheological nanofluids from a stretching sheet have been examined by Gnaneswara Reddy et al 30 Shabbir et al 31 obtained finite difference numerical solutions for magnetoconvective flow of a micropolar fluid from a curved stretching boundary. It showed that the flow is decelerated with stronger magnetic parameter, power‐law index, and radius of curvature, whereas microrotation is elevated.…”

Section: Introductionmentioning

confidence: 99%

Analysis of dissipative non‐Newtonian magnetic polymer flow from a curved stretching surface with slip and radiative effects

2022

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The convective–radiative magnetohydrodynamic non‐Newtonian second‐grade fluid boundary layer flow from a curved stretching surface has been scrutinized in the present study. The Reiner–Rivlin second‐grade viscoelastic model is deployed which provides a good approximation for certain magnetic polymers. High temperature invokes the presence of radiative heat transfer, which is simulated with the Rosseland diffusion approximation. Viscous dissipation and Joule heating are also featured in the model and hydrodynamic (velocity) slip at the wall is also incorporated in the boundary conditions. The emerging nonlinear coupled dimensionless transport equations are solved with a Runge–Kutta method and a shooting numerical scheme. The influence of emerging multiphysical flow parameters on the dimensionless profiles is examined with the help of plots for comparative analysis of both non‐Newtonian fluid and Newtonian fluid. The numerical solutions are validated for special cases with existing works. The velocity declines for a higher magnetic field, whereas the reverse trend is noted for the temperature function. The augmentation in the thermal field is noted with increments in radiation parameters. Furthermore, the fluid temperature of the second‐grade fluid is higher with increasing Brinkmann number. The wall slip induces deceleration. Contour plots for streamlines and isotherms are also visualized and analyzed.

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“…Sadia et al 23 have discussed the convective flow with heterogeneous and homogeneous reactions. Shabbier et al 24 have analyzed heat transfer analysis of micropolar liquid through a curved surface. Dawar et al 25 have reported the magneto nanofluid flow over a stretched surface in a Cartesian co‐ordinate system.…”

Section: Introductionmentioning

confidence: 99%

Comparative study on hybrid nanofluid flow of Ag–CuO/H₂O over a curved stretching surface with Soret and Dufour effects

2022

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The purpose of the study is to discuss the comparison of the linear and nonlinear stretching sheets on the heat transfer over a curved surface spiraling in a circle with radial distance R. Additionally the consequences of Soret-Dufour in the presence of injection velocity and heat source/sink are investigated in the article.Silver and Copper Oxide are taken as hybrid nanoparticles with water as foundation fluid. Leading equations are converted to nonlinear ordinary differential equations taking some relevant transformations and solved with the combination of the shooting method and RK-4th order method. MAPLE software is used to plot graphs and numerical charts. Flow features are examined for different pertinent parameters. Physical quantities like Sherwood number, Nusselt number, and so forth, are evaluated numerically for different nondimensional numbers. The result substantiates that improving the Dufour number boost the fluid flow and fluid temperature but the opposite behavior is seen in the concentration profile. It is observed that a linearly stretching sheet gives better fluid behaviors compared to nonlinear stretching sheet.

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Modeling and numerical simulation of micropolar fluid over a curved surface: Keller box method

Cited by 15 publications

References 36 publications

Study of the Carreau fluid over a linearly curved stretching sheet: A numerical approach

Study of the Carreau fluid over a linearly curved stretching sheet: A numerical approach

Analysis of dissipative non‐Newtonian magnetic polymer flow from a curved stretching surface with slip and radiative effects

Comparative study on hybrid nanofluid flow of Ag–CuO/H₂O over a curved stretching surface with Soret and Dufour effects

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Modeling and numerical simulation of micropolar fluid over a curved surface: Keller box method

Cited by 15 publications

References 36 publications

Study of the Carreau fluid over a linearly curved stretching sheet: A numerical approach

Study of the Carreau fluid over a linearly curved stretching sheet: A numerical approach

Analysis of dissipative non‐Newtonian magnetic polymer flow from a curved stretching surface with slip and radiative effects

Comparative study on hybrid nanofluid flow of Ag–CuO/H2O over a curved stretching surface with Soret and Dufour effects

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Comparative study on hybrid nanofluid flow of Ag–CuO/H₂O over a curved stretching surface with Soret and Dufour effects