Analysis of non-Newtonian effects in peristaltic pumping

Böhme, Gert; Müller, A.

doi:10.1016/j.jnnfm.2013.08.002

Cited by 19 publications

(10 citation statements)

References 21 publications

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“…The adverse pressure difference is non-dimensionalized as , which represents the ratio between the pressure and viscous forces during peristaltic pumping (Shapiro et al. 1969; Rao & Usha 1995; Hariharan, Seshadri & Banerjee 2008; Böhme & Müller 2013; Tripathi 2013; Rachid & Ouazzani 2015). The Reynolds number for peristaltic pumping is defined as , where is the fluid density, and is the dynamic viscosity (Shapiro et al.…”

Section: Methodsmentioning

confidence: 99%

Fluid pumping of peristaltic vessel fitted with elastic valves

2021

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Section: Methodsmentioning

confidence: 99%

Fluid pumping of peristaltic vessel fitted with elastic valves

2021

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“…Ceniceros and Fisher [31] employed immersed boundary method to study peristaltic flow in a pump for all possible occlusion ratios and Weissenberg number in excess of 100. Boehme and Mueller [32] performed an asymptotic analysis of axisymmetric 2-D peristaltic flow to investigate the influence of the aspect ratio, the Weissenberg number, the Deborah number and the wave shape on the pumping characteristics. Shit and Ray [33] studied effects of applied electric field on hydro-magnetic peristaltic flow through a micro-channel.…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer effects on the peristaltic flow of Sisko fluid in a curved channel

2019

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In the present study heat and mass transfer phenomena in flow of non-Newtonian Sisko fluid induced by peristaltic activity through a curved channel have been investigated numerically using an implicit finite difference scheme. The governing equations are formulated in terms of curvilinear coordinates with appropriate boundary conditions. Numerically solution is carried out under long wavelength and low Reynolds number assumptions. The velocity field, pressure rise per wavelength, stream function, temperature, and concentration fields have been analyzed for the effects of curvature parameter, viscosity parameter, and power law index. Additionally, the computation for heat transfer coefficient and Sherwood number carried out for selected thermophysical parameters. The main results that are extracted out this study is that for strong shear-thinning biofluids (power-law rheological index, n < 1) the flow exhibits the boundary-layer character near the boundary walls. Both temperature and mass concentration are found to increase with increasing the generalized ratio of infinite shear rate viscosity to the consistency index. The amplitude of heat transfer coefficient and Sherwood number is also an increasing function of generalized ratio of infinite shear rate viscosity to the consistency index.

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“…The peristaltic action is also exploited in industrial pumping as it provides efficient means for sanitary fluid transport, noxious fluid transport in nuclear industries, as well as in roller pumps. Several investigators have analyzed the peristaltic motion of both Newtonian and non-Newtonian fluids in mechanical as well as physiological systems (Fung and Yih 1968;Shehawey and Sebaei 2000;Takagi and Balmforth 2011;Radhakrishnamacharya 1982;Rao and Mishra 2004;Bohme and Muller 2013).…”

Section: Introductionmentioning

confidence: 99%

Effect of Homogeneous and Heterogeneous Chemical Reactions on Peristaltic Transport of a Jeffrey Fluid through a Porous Medium with Slip Condition

Ravikiran¹,

Radhakrishnamacharya²

2015

JAFM

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In this paper, the dispersion of solute matter in a Jeffrey fluid flow through a porous medium in a peristaltic channel has been investigated under the influence of slip boundary conditions. Long wavelength approximation and Taylor's limiting condition are used to obtain the average effective dispersion coefficient in both the cases of homogeneous and heterogeneous chemical reactions. The effects of various pertinent parameters on the effective dispersion coefficient are discussed. Average effective dispersion coefficient increases with amplitude ratio. That is, more dispersion in the presence of peristalsis. Further, the average effective dispersion coefficient increases with the permeability parameter and the slip parameter; but decreases with the Jeffrey number, homogeneous / heterogeneous chemical reaction rate parameter.

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Analysis of non-Newtonian effects in peristaltic pumping

Cited by 19 publications

References 21 publications

Fluid pumping of peristaltic vessel fitted with elastic valves

Fluid pumping of peristaltic vessel fitted with elastic valves

Heat and mass transfer effects on the peristaltic flow of Sisko fluid in a curved channel

Effect of Homogeneous and Heterogeneous Chemical Reactions on Peristaltic Transport of a Jeffrey Fluid through a Porous Medium with Slip Condition

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