Micropolar flow in a porous channel with high mass transfer

Kelson, Neil A.; Desseaux, André; Farrell, Troy

doi:10.21914/anziamj.v44i0.692

Cited by 18 publications

(10 citation statements)

References 16 publications

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“…Using Cartesian coordinates, the channel walls are parallel to the x-axis and located at y = ±h, where 2h is the channel width. The relevant equations governing the flow are [11] ∂u ∂x…”

Section: Flow Analysis and Mathematical Formulationmentioning

confidence: 99%

“…Compared with Newtonian fluids, the governing equations include the micro rotation or angular velocity N whose direction of rotation is in the xy-plane, and the material parameters j, κ and ν s [11]. For consistency with other micropolar studies, all material parameters are taken as independent and constant.…”

Section: Flow Analysis and Mathematical Formulationmentioning

confidence: 99%

“…To simplify the governing equations, Kelson et al [11] introduced the following similarity transforms…”

Section: Flow Analysis and Mathematical Formulationmentioning

confidence: 99%

“…In this study, the DTM was applied to find an approximate solution for the micropolar flow in a porous channel with mass injection. This problem was studied first by Kelson et al [11] and Desseaux and Kelson [12] using a perturbation approach. More recently, Ziabakhsh and Domairry [13] also studied this flow using the homotopy analysis method (HAM).…”

Section: Introductionmentioning

confidence: 99%

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A semi-analytical solution of micro polar flow in a porous channel with mass injection by using differential transform method

Rashidi

Pour

Laraqi³

2010

NAMC

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In this letter, the differential transform method (DTM) was applied to the micro-polar flow in a porous channel with mass injection. Approximate solutions of the governing system of nonlinear ordinary differential equations were calculated in the form of DTM series with easily computable terms. The validity of the series solutions were verified by comparison with numerical results obtained using a fourth order Runge–Kutta method. The computed DTM velocity profiles are shown and the influence of Reynolds number on the velocity component in x-direction is discussed.

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Section: Flow Analysis and Mathematical Formulationmentioning

confidence: 99%

Section: Flow Analysis and Mathematical Formulationmentioning

confidence: 99%

“…To simplify the governing equations, Kelson et al [11] introduced the following similarity transforms…”

Section: Flow Analysis and Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A semi-analytical solution of micro polar flow in a porous channel with mass injection by using differential transform method

Rashidi

Pour

Laraqi³

2010

NAMC

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“…This theory has provided a mathematical model for the non-Newtonian behavior which could be observed in certain fluids such as polymers, colloidal suspensions, animal blood, crystals and so on. Kelson et al [8] have determined the influence of the material constants of the micropolar fluids on the flow with high mass transfer through the channel walls for uniform injection or suction at the walls. Xin-hui SI et.…”

Section: Introductionmentioning

confidence: 99%

Solution of micropolar fluid flow through porous channels - a differential transform approach

Vimala¹,

Omega²

2015

ams

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The steady laminar two-dimensional flow of a micropolar fluid through a porous channel with variable permeability is studied. Various cases of injection at one wall and suction at the other wall with different velocities and injection at both walls or suction at both walls are considered. A semi-analytical Differential Transform Method is used to solve the problem. Comparison of the results with the corresponding Newtonian case is carried out and the efficiency of the DTM is analysed.

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Numerical simulation of flow of micropolar fluids in a channel with a porous wall

Ashraf

Syed

Kamal

2011

Numerical Methods in Fluids

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SUMMARYTwo-dimensional steady, laminar, and incompressible flow of a micropolar fluid in a channel with no-slip at one wall and constant uniform injection through the other wall is considered for different values of the Reynolds number R. The main flow stream is superimposed by constant injection velocity at the porous wall. The micropolar model introduced by Eringen is used to describe the working fluid. An extension of Berman's similarity transformations is used to reduce governing equations to a set of nonlinear coupled ordinary differential equations (ODEs) in dimensionless form. An algorithm based on finite difference method is employed to solve these ODEs and Richardson's extrapolation is used to obtain higher order accuracy. It has been found that the magnitude of shear stress increases strictly at the impermeable wall whereas it decreases steadily at the permeable wall, by increasing the injection velocity. The maximum value of streamwise velocity and that of the microrotation both increase with increasing the magnitude of R.

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Micropolar flow in a porous channel with high mass transfer

Cited by 18 publications

References 16 publications

A semi-analytical solution of micro polar flow in a porous channel with mass injection by using differential transform method

A semi-analytical solution of micro polar flow in a porous channel with mass injection by using differential transform method

Solution of micropolar fluid flow through porous channels - a differential transform approach

Numerical simulation of flow of micropolar fluids in a channel with a porous wall

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