Influence of inclined magnetic field on peristaltic flow of a Williamson fluid model in an inclined symmetric or asymmetric channel

Nadeem, Sohail; Akram, Safia

doi:10.1016/j.mcm.2010.02.001

Cited by 95 publications

(35 citation statements)

References 14 publications

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“…Irene and Giambattista [25] obtained perturbation solutions for pulsatile flow of a non-Newtonian Williamson fluid in a rock fracture. Influence of inclined magnetic field on peristaltic flow of Williamson fluid model in an inclined symmetric or asymmetric channel reported by Nadeem et al [26]. Vajravelu et al [27] investigated the peristaltic transport of a Williamson fluid in asymmetric channels with permeable walls.…”

Section: Introductionmentioning

confidence: 99%

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Mabood¹,

Ibrahim²,

Lorenzini³

et al. 2017

IJHT

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An analysis is performed for magnetohydrodynamics (MHD) Williamson nanofluid flow over a continuously moving heated surface with thermal radiation and heat source. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations. The obtained self-similar equations are solved by finite difference method using quasilinearization technique. Mathematical analysis of various physical parameters is presented in graphs. The impact of physical parameters on skin-friction coefficient, reduced Nusselt and Sherwood numbers are shown in tabular and graphical form. Furthermore, comparison of the present analysis is made with the previously existing literature and an appreciable agreement in the values is observed for the limiting case.

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Section: Introductionmentioning

confidence: 99%

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Mabood¹,

Ibrahim²,

Lorenzini³

et al. 2017

IJHT

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show abstract

“…He explained the flow of pseudo-plastic fluids by developing a model equation and verified this hypothesis with experiment. Nadeem and Akram (2010a); (Nadeem and Akram, 2010b) investigated the effect of presence of inclined magnetic field on peristaltic flow of a Williamson fluid in an inclined symmetric or asymmetric channel. Akbar, Hayat, Nadeem, and Obaidat (2012) studied partial slip and heat transfer peristaltic flow behaviour of a Williamson fluid through inclined asymmetric channel.…”

Section: Introductionmentioning

confidence: 99%

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Khan¹,

Rahman²,

Arifuzzaman³

et al. 2017

Frontiers in Heat and Mass Transfer

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A two-dimensional (2D) flow of an incompressible Williamson fluid of Cattaneo-Christov heat flux type over a linearly stretched surface with the influence of magnetic field, thermal radiation-diffusion, heat generation and viscous dissipation is carried out in the present study. To develop a Williamson flow model, a boundary layer approximation is taken into account. The non-dimensional, nonlinear, coupled ordinary differential equations with boundary condition are solved numerically using Nactsheim-Swigert shooting iteration technique together with Runge-Kutta six order iteration scheme. The influences of physical parameters on the velocity, temperature, concentration is analysed through graphical consequences. To validate the accuracy of the numerical simulations scheme, comparisons is carried out with the previous studies and are found in an excellent agreement.

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“…Peristaltic ows basically occur in swallowing food through the esophagus, urine transport from kidney to bladder, lymph transport in the lymphatic vessels, vasomotion of small blood vessels, cell separators, arthropumps, arti cial blood pumps and heart-lung machine, nger and roller pumps, toxic liquid in nuclear industry, etc. In literature, sundry works concerning peristaltic motion have been done for Newtonian uid and non-Newtonian uids with di erent ow geometries [1][2][3][4][5][6][7][8]. The seminal work done is given by Latham [9] and Shapiro et al [10].…”

Section: Introductionmentioning

confidence: 99%

Nanofluid effects on peristaltic transport of a fourth grade fluid in the occurrence of inclined magnetic field

Akram

2016

Scientia Iranica

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Abstract. This paper deals with the e ect of nano uid and inclined magnetic eld on peristaltic transport of a fourth grade uid model. Mathematical modelling of two dimensional fourth grade uid along with nano uid model are given for channel. Assumptions of long wave length are employed to simplify the governing equations of momentum, temperature, and nano particle volume fraction. The exact solutions of temperature and nano particle volume fraction are calculated. Analytical solution is carried out to calculate the solution of stream function. Pressure rise and pressure gradient on the channel walls have been computed numerically. The graphical results are discussed to see the e ects of various emerging parameters on di erent wave forms.

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Influence of inclined magnetic field on peristaltic flow of a Williamson fluid model in an inclined symmetric or asymmetric channel

Cited by 95 publications

References 14 publications

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Radiation effects on Williamson nanofluid flow over a heated surface with magnetohydrodynamics

Williamson Fluid Flow Behaviour of MHD Convective-Radiative Cattaneo–christov Heat Flux Type Over a Linearly Stretched-Surface With Heat Generation and Thermal-Diffusion

Nanofluid effects on peristaltic transport of a fourth grade fluid in the occurrence of inclined magnetic field

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