Influence of Lateral Walls on Peristaltic Flow of a Couple Stress Fluid in a Non-Uniform Rectangular Duct

Akram, Safia; Mekheimer, Kh. S.; Nadeem, S.

doi:10.12785/amis/080323

Cited by 12 publications

(6 citation statements)

References 15 publications

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“…Down the years, many researchers have worked on the extension of the ideas presented in Subba Reddy et al 36 and Mandviwalla and Archer 37 by considering Newtonian fluids and non-Newtonian fluid models. 38 – 45 To the best of our knowledge, the study for peristaltic passages especially designed for the rectangle shaped ducts with slip bounded condition is still being researched. Due to this, we have deliberated the idea related to partial slip in the same shaped ducts for couple stressed fluids.…”

Section: Introductionmentioning

confidence: 99%

Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct

et al. 2021

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The impact of lateral walls and partial slip with different waveforms on peristaltic pumping of couple stress fluid in a rectangular duct with different waveforms has been discussed in the current article. By means of a wave frame of reference the flow is explored travelling away from a fixed frame with velocity c. Peristaltic waves generated on horizontal surface walls of rectangular duct are considered using lubrication technique. Mathematical modelling of couple fluid for three-dimensional flow are first discussed in detail. Lubrication approaches are used to simplify the proposed problem. Exact solutions of pressure gradient, pressure rise, velocity and stream function have been calculated. Numerical and graphical descriptions are displayed to look at the behaviour of diverse emerging parameters.

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Section: Introductionmentioning

confidence: 99%

Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct

et al. 2021

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“…It is entirely The pumping features can be examined by the pressure rise (∆p) versus the average volume flow rate/mean flux Q. The complete area is divided into four quarters [13]. Figure 7a describes the pressure rise ∆p under the variety in values of α.…”

Section: Graphical Analysismentioning

confidence: 99%

“…Riaz et al [12] modeled the unsteady peristaltic flow of Carreau fluid propagating through a small intestine and presented analytic solutions using the perturbation method. Akram et al [13] explored the behavior of lateral walls on the non-uniform, peristaltic-propelled three-dimensional flow of the couple stress fluid model. Ellahi et al [14] also discussed the three-dimensional motion of Carreau fluid with an external uniform magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Mass Transport with Asymmetric Peristaltic Propulsion Coated with Synovial Fluid

et al. 2018

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This article aims to model two-dimensional, incompressible asymmetric peristaltic propulsion coated with Synovial fluid (“non-Newtonian model”) with mass transport. Due to the coating of the same base-fluid at the surface of the channel, the boundaries become non-porous and exert no slip on the fluid particles. Two illustrative models for the viscosity, namely, shear-thinning (Model 1) and shear-thickening (Model 2), are considered, which reveal the presence and integrity of coating. The perturbation method has been applied to linearize the complicated differential equations. Model 1 predicted higher viscosity values and more significant non-Newtonian behavior than Model 2. It is also observed that the shear-thinning model behaved in quite the opposite manner for the shear thickening model. The converse behavior of Model 1 and Model 2 occurs due to a curvature of the flow domain. Moreover, Model 1 is not able to capture the correct exponential viscosity dependence on concentration for the whole range of shear rates. On the other hand, the second model shows a strong relationship with accurate power. Solutions are attained for velocity field, concentration profile, and pressure gradient. The novelty of all the essential parameters is analyzed through graphical results. Furthermore, streamlines are also drawn to determine the trapping mechanism. The present analysis is beneficial in the study of intrauterine fluid dynamics; furthermore, it is applicable in vivo diagnostic; drug delivery; food diagnostics; protein chips; and cell chips and packaging, i.e., smart sensors.

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“…The study of peristaltic phenomenon in a rectangular channel was first examined by [16]. Based on the theory of [16], several researchers have studied the phenomenon of peristaltic transport in a rectangular duct under various approximations [17][18][19][20][21][22][23]. In the papers cited above, the phenomena of heat transfer are not taken into account.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Heating Effects and Different Wave Forms on Peristaltic Flow of Carreau Fluid in Rectangular Duct

Akram

Saleem

2020

Advances in Mathematical Physics

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The existing analysis deals with heat transfer occurrence on peristaltic transport of a Carreau fluid in a rectangular duct. Flow is scrutinized in a wave frame of reference moving with velocity c away from a fixed frame. A peristaltic wave propagating on the horizontal side walls of a rectangular duct is discussed under lubrication approximation. In order to carry out the analytical solution of velocity, temperature, and pressure gradient, the homotopy perturbation method is employed. Graphical results are displayed to see the impact of various emerging parameters of the Carreau fluid and power law index. Trapping effects of peristaltic transport is also discussed and observed that number of trapping bolus decreases with an increase in aspect ratio β.

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Influence of Lateral Walls on Peristaltic Flow of a Couple Stress Fluid in a Non-Uniform Rectangular Duct

Cited by 12 publications

References 15 publications

Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct

Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct

Mass Transport with Asymmetric Peristaltic Propulsion Coated with Synovial Fluid

Analysis of Heating Effects and Different Wave Forms on Peristaltic Flow of Carreau Fluid in Rectangular Duct

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