Numerical solution of a micropolar fluid flow between two rotating coaxial disks

Chaturani, P.; Narasimman, S.

doi:10.1007/bf01171251

Cited by 10 publications

(8 citation statements)

References 27 publications

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“…17 presents the effects of ω on the velocities. Because the parameter ω only belongs to the equation (16), which is an equation relevant to the function 2 (η), we only discuss the effect of ω on 2 (η). The influence of the parameter ω on 2 is obvious.…”

Section: Resultsmentioning

confidence: 99%

“…Muhammad Ashraf et al [15] investigated the influence of the Reynolds number and micropolar structure on the flow between two disks using SOR method. Chaturani and Narasimman [16] discussed the multiple solutions of a steady micropolar fluid flow between two rotating coaxial disks. The special boundary conditions of the expanding or contracting wall may have been first proposed by Uchida and Aoki [17] in order to learn the transport of biological fluids through contracting or expanding vessels, the synchronous pulsation of porous diaphragms, and the air circulation in the respiratory system.…”

Section: Introductionmentioning

confidence: 99%

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The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

Sun

Zheng

et al. 2013

Open Physics

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Abstract:The present work investigates the unsteady, imcompressible flow of a micropolar fluid between two orthogonally moving porous coaxial disks. The lower and upper disks are rotating with the same angular speed Ω in counter directions. The flows are driven by the contraction and the rotation of the disks. An extension of the Von Kármán type similarity transformation is proposed and is applied to reduce the governing partial differential equations (PDEs) to a set of non-linear coupled ordinary differential equations (ODEs) in dimensionless form. These differential equations with appropriate boundary conditions are responsible for the flow behavior between large but finite coaxial rotating disks. The analytical solutions are obtained by employing the homotopy analysis method. The effects of some various physical parameters like the expansion ratio, the rotational Reynolds number, the permeability Reynolds number, and micropolar parameters on the velocity fields are observed in graphs and discussed in detail.Keywords: homotopy analysis method • expansion ratio • orthogonally moving porous disks • micropolar fluids © Versita sp. z o.o.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

Sun

Zheng

et al. 2013

Open Physics

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“…However, for improving the solution, authors have obtained the solution of the governing equations in such types of flow using numerical methods. [55][56][57] In the above literature review, some of the specific aspects of nanofluid and ferrofluid have been investigated. The rotational flow of nanofluid has studied in the presence of various physical parameters.…”

Section: Introductionmentioning

confidence: 99%

Water-based ferrofluid flow and heat transfer over a stretchable rotating disk under the influence of an alternating magnetic field

Bhandari

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Flow and heat transfer of water-based nanofluid over a stretchable rotating disk under the influence of an alternating magnetic field is investigated. The external magnetic field creates a hindrance in the flow and depends on the frequency of the alternating magnetic field. The frequency of an alternating magnetic field can increase or decrease the viscosity of the magnetic fluid in the flow. A set of nonlinear differential equations in the present theoretical model is solved numerically using the finite element method. Volume concentration, frequency of the alternating magnetic field, magnetic polarization force, and Prandtl number play an important role in the velocity and temperature distributions of iron/water nanofluid. A comparative study for velocity and heat transfer is presented for iron/water, nickel/water, and cobalt/water ferromagnetic nanofluid. The rotational viscosity enhances the heat transfer in nanofluid provided the magnetic field should be stationary.

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“…The study of Williamson fluid flow in rotational flow has been explored 55 . Considering different physical parameters, flow and heat transfer analyses between stretchable rotating disks have been considered by different researchers 56‐59 …”

Section: Introductionmentioning

confidence: 99%

Unsteady flow and heat transfer of a ferrofluid between two rotating, vertical moving and stretching disks

Bhandari

Husain

2020

Heat Trans

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Unsteady flow and heat transfer of a magnetic fluid between two rotating disks is investigated. Both the disks are stretchable and the lower disk moves in the vertical direction. A new approach of similarity transformation is adopted to transform the equation of continuity, momentum, and the energy equation into ordinary nonlinear coupled differential equations. The numerical solution of the converted nonlinear differential equations is obtained using the finite element method. The effects of magnetization force, rotational viscosity, Prandtl number, and Eckert number on the velocity and temperature distributions are studied. The impact of stretching, movement, and rotation of the disk is also considered in this computational study. The skin friction coefficients and heat transfer rate on the lower disk for different physical parameters are calculated. Different types of motion of the disks and the magnetization force are crucial aspects in the stress distribution and heat transfer rate near the lower disk.

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Numerical solution of a micropolar fluid flow between two rotating coaxial disks

Cited by 10 publications

References 27 publications

The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

The analysis of the flow of a micropolar fluid between two orthogonally moving porous disks with counter rotating directions

Water-based ferrofluid flow and heat transfer over a stretchable rotating disk under the influence of an alternating magnetic field

Unsteady flow and heat transfer of a ferrofluid between two rotating, vertical moving and stretching disks

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