Peristaltic Pumping of a Generalized Newtonian Fluid in an Elastic
                        Tube

Srinivas, A. N. S.; Selvi, K.; Sreenadh, S.

doi:10.29252/jafm.73.245.27908

Cited by 11 publications

(8 citation statements)

References 34 publications

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“…(28) reduces to that given by Rubinow and Keller (1972) for the flow of Newtonian fluid in an elastic tube. Further, the behavior of relevant parameters on theoretical flux obtained from both the models are in good agreement with the results of Vajravelu et al (2015), Vajravelu et al (2016) and Srinivas et al (2017).…”

Section: Comparative Analysissupporting

confidence: 83%

Impact of Variable Liquid Properties on Peristaltic Mechanism of Convectively Heated Jeffrey Fluid in a Slippery Elastic Tube

Divya¹,

Manjunatha²,

Rajshekar³

et al. 2019

Frontiers in Heat and Mass Transfer

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The present paper examines the peristaltic mechanism of a Jeffrey fluid through an elastic tube. The influence of velocity slip, convective boundary conditions, and variable liquid properties are taken into account. Closed form solutions are obtained for velocity, flux and temperature fields. In order to linearize the temperature equation, perturbation technique is employed. Also, the flux is determined theoretically via Rubinow and Keller and Mazumdar approach and the results are compared graphically. The effects of various vital parameters on the fluid flow are sketched and analyzed graphically. The findings emphasize the importance of elastic parameters in enhancing the flux of a non-Newtonian fluid. Moreover, a rise in the variable viscosity results in an increase in the velocity and temperature, whereas a drop in the flux is observed. Trapping phenomena reveals an increase in the volume of the bolus for increasing values of the variable viscosity and velocity slip parameter.

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Section: Comparative Analysissupporting

confidence: 83%

Impact of Variable Liquid Properties on Peristaltic Mechanism of Convectively Heated Jeffrey Fluid in a Slippery Elastic Tube

Divya¹,

Manjunatha²,

Rajshekar³

et al. 2019

Frontiers in Heat and Mass Transfer

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“…Consider a two-dimensional flow of an incompressible MHD Rabinowitsch fluid in a flexible channel of width 2d. The geometrical configuration of our system is illustrated in Figure 1 while the wave formation at the walls is defined are expressed as follows (Fusi and Farina, 2017;Srinivas et al, 2017;Imran et al, 2020a, b):…”

Section: Problem Formulationmentioning

confidence: 99%

“…For instance, Fusi and Farina (2017) studied the peristaltic flow of Bingham fluid. Peristaltic transportation of generalized Newtonian fluid was studied by Srinivas et al (2017) and power-law fluid peristaltic transport by Selvi et al (2018). Tanveer et al (2017) analyze the influence of modified Darcy's law on peristalsis of Sisko fluid.…”

Section: Introductionmentioning

confidence: 99%

The integrated MHD thermal performance with slip conditions on metachronal propulsion: the engineering material for biomedical applications

Imran¹,

Javed²

2021

MMMS

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PurposeParticular attention is given to the viscous damping force parameter, stiffness parameter, rigidity parameter, and Brinkman number and plotted their graph for thermal distribution, momentum profile and concentration profile.Design/methodology/approachIn the field of engineering, biologically inspired propulsion systems are getting the utmost importance. Keeping in view their developmental progress, the present study was made. The theoretical analysis explores the effect of heat and mass transfer on non-Newtonian Sisko fluid with slip effects and transverse magnetic field in symmetric compliant channel. Using low Reynolds number, so that the authors neglect inertial forces and for keeping the pressure constant during the flow, channel height is used largely as compared to the ratio of wavelength. The governing equations of fluid flow problem are solved using the perturbation analysis.FindingsResults are considered for thickening, thinning and viscous nature of fluid models. It is found that the velocity distribution profile is boosted for increasing values of the Sisko fluid parameter and porous effect, while thermal profile is reducing for Brinkman number (viscous dissipation effects) for all cases. Moreover, shear-thicken and shear-thinning behavior of non-Newtonian Sisko fluid is also explained through the graphs.Originality/valueHear-thicken and shear-thinning behavior of non-Newtonian Sisko fluid is also explained through the graphs.

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“…The significance of elasticity for the pulse wave generating from the heart was first recognized by Young [14]. Afterwards, theoretical and experimental works on flow of Newtonian/ non-Newtonian fluids with elastic conduits are made by the researchers [15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric Peristaltic Flow of a Non-Newtonian Fluid in a Channel with Elastic Walls

Yasodhara¹,

Sreenadh²,

Sumalatha³

et al. 2020

MMEP

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This article explores the theoretical investigation of peristaltic motion of a non-Newtonian fluid accompanied in a horizontal channel with elastic walls. Most of the physiological fluids (blood) behaves like a non-Newtonian fluid. To characterize the fluid flow behavior, Casson fluid model is considered which a yield stress model and it holds good to explain the behavior of blood flow through small diameter conduits at low shear rates. The deformation in the walls of the channel is studied under two aspects, one is peristalsis and another is elasticity. Exact solutions are obtained for velocity and stream function. The size of the trapped food bolus increases with increasing values of yield stress parameter. The theoretical obtained results may be useful in understanding of pathological conditions arising due to change in elasticity and different peristaltic wave forms.

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Peristaltic Pumping of a Generalized Newtonian Fluid in an Elastic Tube

Cited by 11 publications

References 34 publications

Impact of Variable Liquid Properties on Peristaltic Mechanism of Convectively Heated Jeffrey Fluid in a Slippery Elastic Tube

Impact of Variable Liquid Properties on Peristaltic Mechanism of Convectively Heated Jeffrey Fluid in a Slippery Elastic Tube

The integrated MHD thermal performance with slip conditions on metachronal propulsion: the engineering material for biomedical applications

Axisymmetric Peristaltic Flow of a Non-Newtonian Fluid in a Channel with Elastic Walls

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