Long Wavelength Flow Analysis in a Curved Channel

Ali, Nasir; Sajid, Muhammad; Hayat, Tasawar

doi:10.1515/zna-2010-0306

Cited by 113 publications

(68 citation statements)

References 2 publications

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“…can be determined by the boundary conditions (37) in (39) - (40). Clearly, once the stream function and the magnetic force function are determined, the other physical quantities of interest can also be computed.…”

Section: First-order Systemmentioning

confidence: 99%

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Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

Noreen

Hayat

Alsaedi

2013

Zeitschrift Für Naturforschung A

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A mathematical model is developed to examine the effects of an induced magnetic field on the peristaltic flow in a curved channel. The non-Newtonian pseudoplastic fluid model is used to depict the combined elastic and viscous properties. The analysis has been carried out in the wave frame of reference, long wavelength and low Reynolds scheme are implemented. A series solution is obtained through perturbation analysis. Results for stream function, pressure gradient, magnetic force function, induced magnetic field, and current density are constructed. The effects of significant parameters on the flow quantities are sketched and discussed.

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Section: First-order Systemmentioning

confidence: 99%

“…With this motivation, Sato et al [39] analyzed the peristaltic flow in a curved channel. Ali et al [40] reconsidered the analysis of [39] in the wave frame of reference. In continuation, Ali et al [41,42] discussed the peristaltic transport of third order and micropolar fluid in a curved channel.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

Noreen

Hayat

Alsaedi

2013

Zeitschrift Für Naturforschung A

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“…The study performed by Sato et al 28 is pioneering in this direction. The results presented by Sato et al 28 were generalized by Ali et al, [29][30][31] Hayat et al, 32,33 Hina et al, [34][35][36] Ramanamurthy et al 37 and Narla et al 38 In this connection also the paper of Kalantari et al 39 is worth mentioning. It is related to those situation where the curvature of the channel, applied magnetic field and non-Newtonian effects are equally important.…”

Section: Introductionmentioning

confidence: 65%

“…The dimensionless pressure rise over one wavelength is defined by [29][30][31] ∆p = 2π  0 dp dx dx.…”

Section: Description Of the Problemmentioning

confidence: 99%

Simulations of peristaltic slip-flow of hydromagnetic bio-fluid in a curved channel

2016

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The influence of slip and magnetic field on transport characteristics of a bio-fluid are analyzed in a curved channel. The problem is modeled in curvilinear coordinate system under the assumption that the wavelength of the peristaltic wave is larger in magnitude compared to the width of the channel. The resulting nonlinear boundary value problem (BVP) is solved using an implicit finite difference technique (FDT). The flow velocity, pressure rise per wavelength and stream function are illustrated through graphs for various values of rheological and geometrical parameters of the problem. The study reveals that a thin boundary layer exists at the channel wall for strong magnetic field. Moreover, small values of Weissenberg number counteract the curvature and make the velocity profile symmetric. It is also observed that pressure rise per wavelength in pumping region increases (decreases) by increasing magnetic field, Weissenberg number and curvature of the channel (slip parameter).

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“…In large peristaltic wavelength, low Reynolds number approximations play a vital role (see [2,12,29,30]). The existence of such assumptions in physiology is justi ed through the transportation of chyme in small intestine [31].…”

Section: Problems Formulationmentioning

confidence: 99%

Impact of compliant walls on magnetohydrodynamics peristalsis of Jeffrey material in a curved configuration

2017

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KEYWORDSJe rey uid; Radial magnetic eld; Compliant wall conditions; Soret and dufour e ects; Curved channel.Abstract. The primary aim of the current attempt is to analyze the peristaltic ow of non-Newtonian material in a curved channel subject to two salient features, namely the Soret and Dufour and radial magnetic eld. Channel walls are of compliant characteristics. The problem formulations for constitutive equations of Je rey uid are made. The lubrication approach is implemented to simplify the mathematical analysis. Dimensionless problems of stream function, temperature, and concentration are computed numerically. Characteristics of distinct variables on the velocity, temperature, coe cient of heat transfer, and concentration are examined. Besides, the graphical results indicate that the velocity pro le enhances the compliant wall parameters signi cantly, primarily due to the resistance characteristics of Lorentz force velocity pro le decays. Furthermore, it is noted that the temperature pro le enhances larger Dufour number; however, reverse behavior is noticed in the concentration pro le when Soret and Schmidt numbers are increased.

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Long Wavelength Flow Analysis in a Curved Channel

Cited by 113 publications

References 2 publications

Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

Magnetohydrodynamic Peristaltic Flow of a Pseudoplastic Fluid in a Curved Channel

Simulations of peristaltic slip-flow of hydromagnetic bio-fluid in a curved channel

Impact of compliant walls on magnetohydrodynamics peristalsis of Jeffrey material in a curved configuration

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