Numerical analysis of nanofluid flow conveying nanoparticles through expanding and contracting gaps between permeable walls

Hatami, M.; Sahebi, S. A. R.; Majidian, A.; Sheikholeslami, M.; Jing, Dengwei; Domairry, G.

doi:10.1016/j.molliq.2015.10.040

Cited by 17 publications

(8 citation statements)

References 16 publications

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“…Subject to the boundary conditions Here = is the cross flow Reynolds number and > 0 is for suction and < 0 for injection through the walls [8], [27] and [28].…”

Section: Problem Formulationmentioning

confidence: 99%

Unsteady Flow of a Casson Fluid between Two Orthogonally Moving Porous Disks: A Numerical Investigation

Raza¹,

Rohni²,

Omar³

2017

Communications in Numerical Analysis

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The purpose of the present paper is to study the unsteady two dimensional laminar incompressible flow of non-Newtonian fluid between two orthogonally moving porous disks using the Casson fluid model that is used to characterize the non-Newtonian fluid behavior. Governing partial differential equations are reduced into nonlinear ordinary differential equations by using suitable similarity transformation and then solved numerically by Runge-Kutta-Fehlberg technique. The numerical results are found excellent agreement with the literature published before. Trusting to this validity, effects of different physical parameters are discussed. The study reveals that velocity of the fluid particles increases with an increase in the disk expanding ratio.

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“…Subject to the boundary conditions Here = is the cross flow Reynolds number and > 0 is for suction and < 0 for injection through the walls [8], [27] and [28].…”

Section: Problem Formulationmentioning

confidence: 99%

Unsteady Flow of a Casson Fluid between Two Orthogonally Moving Porous Disks: A Numerical Investigation

Raza¹,

Rohni²,

Omar³

2017

Communications in Numerical Analysis

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“…Numerical solutions were obtained by two different numerical schemes called Galerkin's method and Runge-Kutta-Fehlberg method. Hatami et al [29] discussed the numerical solution of nanofluid flow in a rectangular channel with expanding or contracting porous walls. They concluded that velocity boundary layer thickness near the channel walls decreases as Reynold number and nanoparticles volume fraction increases.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Here R " av w υ is the cross flow Reynolds number and R ą 0 is for injection and R ă 0 for suction through the walls [8,28,29].…”

Section: Problem Formulationmentioning

confidence: 99%

A Note on Some Solutions of Copper-Water (Cu-Water) Nanofluids in a Channel with Slowly Expanding or Contracting Walls with Heat Transfer

Raza¹,

Rohni²,

Omar³

2016

MCA

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Abstract:A study has been carried out to examine the occurrence of multiple solutions for Copper-Water nanofluids flows in a porous channel with slowly expanding and contracting walls. The governing equations are first transformed to similarity equations by using similarity transformation. The resulting equations are then solved numerically by using the shooting method. The effects of wall expansion ratio and solid volume fraction on velocity and temperature profile have been studied. Numerical results are presented graphically for the variations of different physical parameters. The study reveals that triple solutions exist only for the case of suction.

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“…Jafaryar et al [4] performed an analytical investigation of laminar flow through expanding or contracting gaps with porous walls. Hatami et al [5] investigated a nanofluid flow conveying nanoparticles through expanding and contracting gaps between permeable walls via numerical analysis. Abo-elkhair [6] obtained the Lie point symmetries for a magneto couple stress fluid in a porous channel with expanding or contracting walls and a slip boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Lie point symmetries for biological magneto-Jeffrey fluid flow in expanding or contracting permeable walls: a blood vessel model

Mekheimer

Abo-Elkhair

2018

Journal of Taibah University for Science

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This article addresses biological flow in expanding or contracting blood vessels. The alternate contraction and expansion of vessels is known to act as a physiological pump to generate flow. When muscles compress blood vessel walls, the valve at the end of the source is closed, and the downstream end opens; for this reason, blood is pumped in the downstream direction. To study this situation, a model has been developed here that consists of the unsteady two-dimensional flow of an incompressible magneto-Jeffrey fluid in a porous semi-infinite channel with expanding or contracting walls; the channel is closed from one end by a compliant membrane. The Lie group analysis method was used to transform a system of nonlinear partial differential equations into nonlinear ordinary differential equations that were solved using the perturbation method. The effects of Jeffrey parameters (λ 1 , which is the ratio of relaxation time to retardation time, and Deborah parameter D e ) and other physical parameters are plotted and discussed. We find that the axial velocity of a Newtonian fluid is greater than that of a non-Newtonian fluid if the walls are in contraction and vice versa if the walls are in expansion. If the walls are expanded, the blood is distributed in a large area, and thus, the normal pressure decreases, while if the walls are contracted, blood is distributed in less space, and thus, the pressure increases. Normal pressure p n in expanding blood vessels is less than that in contracting blood vessels.

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Numerical analysis of nanofluid flow conveying nanoparticles through expanding and contracting gaps between permeable walls

Cited by 17 publications

References 16 publications

Unsteady Flow of a Casson Fluid between Two Orthogonally Moving Porous Disks: A Numerical Investigation

Unsteady Flow of a Casson Fluid between Two Orthogonally Moving Porous Disks: A Numerical Investigation

A Note on Some Solutions of Copper-Water (Cu-Water) Nanofluids in a Channel with Slowly Expanding or Contracting Walls with Heat Transfer

Lie point symmetries for biological magneto-Jeffrey fluid flow in expanding or contracting permeable walls: a blood vessel model

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