Magnetohydrodynamic flow of a Sisko fluid in annular pipe: A numerical study

Khan, Masood; Abbas, Qaisar; Duru, Kenneth

doi:10.1002/fld.2068

Cited by 30 publications

(23 citation statements)

References 25 publications

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“…The authors of [6] considered four conservative numerical schemes based on finite difference [10] and pseudospectral methods [11] which conserve the norm and energy, but they did not propose tabular results for their methods. We refer the interested reader to [12][13][14][15][16]4,[17][18][19][20][21] for more research works on this equation. The outline of the remainder of this paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves

Dehghan¹,

Fakhar-Izadi²

2011

Mathematical and Computer Modelling

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a b s t r a c tOstrovsky equation (modified Korteweg-de Vries equation) is used for modeling of a weakly nonlinear surface and internal waves in a rotating ocean. The Ostrovsky equation is a nonlinear partial differential equation and also is complicated due to a nonlinear integral operator as well as spatial and temporal derivatives. In this paper we propose a numerical scheme for solving this equation. Our numerical method is based on a collocation method with three different bases such as B-spline, Fourier and Chebyshev. A numerical comparison of these schemes is also provided by three examples.

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Section: Introductionmentioning

confidence: 99%

The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves

Dehghan¹,

Fakhar-Izadi²

2011

Mathematical and Computer Modelling

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“…The Sisko fluid model is the most suitable model for the flows of greases [26]. In spite of their wide occurrence in scores of industry setting only few problems involving Sisko fluids are studied by the investigators [2,3,12,13,14,20,27,30].…”

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confidence: 99%

On boundary layer flow of a Sisko fluid over a stretching sheet

Khan

Shahzad

2013

Quaestiones Mathematicae

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In this paper, the steady boundary layer flow of a non-Newtonian fluid over a nonlinear stretching sheet is investigated. The Sisko fluid model, which is combination of power-law and Newtonian fluids in which the fluid may exhibit shear thinning/thickening behaviors, is considered. The boundary layer equations are derived for the two-dimensional flow of an incompressible Sisko fluid. Similarity transformations are used to reduce the governing nonlinear equations and then solved analytically using the homotopy analysis method. In addition, closed form exact analytical solutions are provided for n = 0 and n = 1. Effects of the pertinent parameters on the boundary layer flow are shown and solutions are contrasted with the power-law fluid solutions. Mathematics Subject Classification (2010): 76A05, 76D10, 74H10.

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“…Recently Hayat et al [19] addressed the flow of the Sisko with nanofluid with magnetic field property. Be that as it may, now notwithstanding consistency, another parameter, specifically the power-law list (or type) is utilized to portray the flow of such fluid can be handle with the help of a power-law model [20]. To predict the attributes of non-Newtonian fluids that are utilized as a part of oils, a power law fluid model is utilized.…”

Section: Introductionmentioning

confidence: 99%