Viscous flow of a Newtonian fluid in a curved channel with flexible moving porous walls

Martinez, D. Mark; Seo, Dongjea; Jong, Jae Ho

doi:10.1016/j.ces.2007.12.015

Cited by 2 publications

(3 citation statements)

References 10 publications

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“…2. A new approximation for the solution of the differential equation (20), f (k+1) , is computed by Simpson's rule [24] subject to the first boundary condition given in (23), where p (k+1) is employed for p in Equation (24).…”

Section: Finding Constant Of Integration Bmentioning

confidence: 99%

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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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Section: Finding Constant Of Integration Bmentioning

confidence: 99%

“…Terrill and Shrestha [5] considered the laminar flow for small Reynolds numbers 908 M. ASHRAF, K. S. SYED AND M. ANWAR KAMAL by Martinez et al [20] using perturbation method. The analytic solution of flow of an electrically conducting third-order fluid in a channel with porous walls using HAM was investigated by Hayat et al [21].…”

Section: Introductionmentioning

confidence: 99%

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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“…Axisymmetric finite element solution of non-isothermal parallel-plate flow has been presented by Zhang and Olagunju [7] . Martinez et al [8] discussed the viscous flow in a curved channel with flexible moving porous walls. Bifurcation of multimode flows of viscous fluid in a plane diverging channel is examined by Akulenko and Kumakshev [9] .…”

Section: Introductionmentioning

confidence: 99%

On Computations for Thermal Radiation in MHD Channel Flow with Heat and Mass Transfer

et al. 2014

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This study examines the simultaneous effects of heat and mass transfer on the three-dimensional boundary layer flow of viscous fluid between two infinite parallel plates. Magnetohydrodynamic (MHD) and thermal radiation effects are present. The governing problems are first modeled and then solved by homotopy analysis method (HAM). Influence of several embedded parameters on the velocity, concentration and temperature fields are described.

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Viscous flow of a Newtonian fluid in a curved channel with flexible moving porous walls

Cited by 2 publications

References 10 publications

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

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

On Computations for Thermal Radiation in MHD Channel Flow with Heat and Mass Transfer

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