Perturbation solution for pulsatile flow of a non-Newtonian Williamson fluid in a rock fracture

Daprà, Irene; Scarpi, Gianbattista

doi:10.1016/j.ijrmms.2006.07.003

Cited by 119 publications

(62 citation statements)

References 17 publications

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“…This model was proposed by Williamson (1929) and later on used by several authors (Dapra and Scarpi 2007;Vasudev et al 2012;Nadeem and Akbar 2010) to investigate fluid flow. We used Optimal Homotopy Analysis Method (OHAM) to solve the governing system of equation for Williamson nano fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Nadeem

Hussain

2016

JAFM

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In the present article Williamson nano fluid flow over a continuously moving surface is discussed when the surface is heated due to the presence of hot fluid under it. Governing equations have been developed and simplified using the suitable transformations. Mathematical analysis of various physical parameters is presented and the percentage heat transfer enhancement is discussed due to variation of these parameters. We employed Optimal homotopy analysis method to obtain the solution. It is presented that initial guess optimization will provide us one more degree of freedom to obtain the convergent and better solutions.

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Section: Introductionmentioning

confidence: 99%

Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Nadeem

Hussain

2016

JAFM

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“…Lyubimov and Perminov (2002) discussed the flow of a thin layer of a Williamson fluid over an inclined surface in the presence of a gravitational field. Dapra and Scarpi (2007) developed the perturbation solution for a Williamson fluid injected into a rock fracture. Peristaltic flow of a Williamson fluid has been discussed by .…”

Section: Introductionmentioning

confidence: 99%

Flow of a Williamson fluid over a stretching sheet

Nadeem

Hussain

Lee

2013

Braz. J. Chem. Eng.

285

117

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-In the present article, we have examined the two dimensional flow of Williamson fluid model over a stretching sheet. The governing equations of pseudoplastic Williamson fluid are modelled and then simplified by using similarity transformations and boundary layer approach. The reduced equations are then solved analytically with the help of homotopy analysis method. The physical features of the model are presented and discussed through graphs.

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“…µ 0 and µ ∞ are the limiting viscosities at zero and at infinite shear rate, respectively, and λ is a rheological parameter [24]. The steady-state two dimensional, incompressible equations of motion including mass conservation can be written as…”

Section: Boundary Layer Equationsmentioning

confidence: 99%

“…Dapra and Scarpi [24] presented a perturbation solution for the unsteady flow of a Williamson fluid between parallel plates. The pressure gradient is assumed to have a mean and harmonic component.…”

Section: Introductionmentioning

confidence: 99%