Exact solutions of magnetohydrodynamic flow of PTT fluid

Faraz, Naeem; Lu, Zhiming; Hou, Liang; Khan, Yasir; Siddiqi, Ahmed Faisal

doi:10.1088/1742-6596/1053/1/012064

Cited by 2 publications

(1 citation statement)

References 11 publications

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“…For example, power-law model is frequently used [19][20][21][22][23] to interpret the shear-thickening and thinning effects, which are found in many fluids such as polymer, paints and blood. Similarly, viscoelastic effects are analyzed through Phan-Than-Tanner (PTT) model [24][25][26][27]. A vast amount of literature on the peristaltic transport of non-Newtonian fluids is available.…”

Section: Introductionmentioning

confidence: 99%

A study on the bifurcation of stagnation points for a peristaltic transport of micropolar fluids with slip condition

Ullah

Ali

2020

Phys. Scr.

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The objective of present work is to investigate the impacts of embedded parameters on various flow phenomena and the bifurcations of stagnation points. This analysis is made for peristaltic transports of micropolar fluids through symmetric channel with slip condition. Exact analytic expressions for velocity profile and stream function are obtained under the constraints of long wavelength and vanishing Reynolds number. Three various flow phenomena (backward, trapping and augmented flow) and two bifurcation conditions due to their transitions are encountered in the flow by employing the dynamical system theory. The local bifurcation diagrams are used to explore the influences of micropolar parameter, coupling number and slip parameter on these bifurcations. The backward region experiences contraction by enlarging the micropolar parameter up to a critical value and after that an opposite trend is observed. The augmented flow and trapping regions expand by increasing the coupling number, while slip parameter shows an opposite behavior. At the end, the results of this analysis are summarized by using global bifurcation diagrams.

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Section: Introductionmentioning

confidence: 99%

A study on the bifurcation of stagnation points for a peristaltic transport of micropolar fluids with slip condition

Ullah

Ali

2020

Phys. Scr.

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Bifurcations of stagnation points in a micropolar fluent media under the influence of an asymmetric peristaltic movement

Ali

Ullah

2020

AIP Advances

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In the present analysis, the effects of an asymmetric peristaltic movement on the bifurcations of stagnation points have been investigated. An exact analytic solution for a flow of an incompressible micropolar fluid has been established under long wavelength and vanishing Reynolds number assumptions in a moving frame of reference. The stagnation points are located through a system of autonomous differential equations. The behavior and bifurcations of these stagnation points and corresponding streamline patterns have been epitomized through dynamical system methods. Different flow situations manifesting in the flow are characterized as follows: backward flow and trapping and augmented flow. Two possible bifurcations encountered in the flow because of the transitions between these flow regions, where nonhyperbolic degenerate points appear and heteroclinic connections between saddles are conceived. The micropolar parameter, coupling number, amplitude ratios, and phase difference have significant impacts on the bifurcations of the stagnation points and the ranges of the flow rate, which are explored graphically by local bifurcation diagrams. The backward flow region is observed to shrink by increasing the micropolar parameter up to an optimal value, and later an opposite trend is found. Furthermore, the increment in the coupling number causes the trapping region to expand. A reduction in the trapping phenomenon is encountered by enlarging the phase difference, while the augmented flow region becomes smaller for large amplitudes of peristaltic waves propagating along the walls of the channel. At the end, global bifurcation diagrams are used to summarize the obtained results.

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Exact solutions of magnetohydrodynamic flow of PTT fluid

Cited by 2 publications

References 11 publications

A study on the bifurcation of stagnation points for a peristaltic transport of micropolar fluids with slip condition

A study on the bifurcation of stagnation points for a peristaltic transport of micropolar fluids with slip condition

Bifurcations of stagnation points in a micropolar fluent media under the influence of an asymmetric peristaltic movement

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