Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

Nallapu, Santhosh; Radhakrishnamacharya, G.; Chamkha, Ali J.

doi:10.1016/j.aej.2015.07.009

Cited by 9 publications

(4 citation statements)

References 19 publications

(30 reference statements)

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“…have [9] have recommended m<100 to get accurate results for viscoplastic materials. A numerical flow study was done for the authors in [10] to determine yield stress's effect on the Herschel-Bulkley fluid's effective viscosity. The Herschel-Bulkley fluids have the following particularity when the particle concentration of the mixture is very high, and the viscosity is large, the forces generated by the interaction and collision of particles lead the fluid to become pasty and indicate the creation of rigid zones.…”

Section: Introductionmentioning

confidence: 99%

A case study on the evolution of rigid zones within the permanent two-dimensional Herschel-Bulkley fluid flow

Elalem,

Taibi,

Messelmi

et al. 2024

SEES

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The formation and development of undeformed regions during the flow of viscoplastic fluids can significantly affect fluid flow behaviour. They can impair the efficiency and effectiveness of industrial operations that use viscoplastic fluids. This paper uses numerical analysis to examine the emergence of rigid zones during non-stationary Herschel-Bulkley fluid flow across a square plate. The impact of pressure and yield stress on the behaviour of rigid zones over time is explored, and the development of the rigid zone area is shown. This work produced mathematical correlations that describe the relationship between the area of rigid zones and both the time of flow and the yield stress, as well as the area of rigid zones and the stagnation time.

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Section: Introductionmentioning

confidence: 99%

A case study on the evolution of rigid zones within the permanent two-dimensional Herschel-Bulkley fluid flow

Elalem,

Taibi,

Messelmi

et al. 2024

SEES

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“…The axisymmetric flow of two immiscible, Newtonian fluids driven by a constant pressure gradient in a periodically constricted tube was studied by Fraggedakis et al (2015). Santhosh et al (2015) studied two-fluid model of Herschel-Bulkley fluid in the core region and Newtonian fluid in the peripheral region through small diameters of tubes with slip effect. It was observed that the flow shows abnormal Fahraeus-Lindqvist effect.…”

Section: Introductionmentioning

confidence: 99%

“…Santhosh et al (2015) studied two-fluid model of Herschel–Bulkley fluid in the core region and Newtonian fluid in the peripheral region through small diameters of tubes with slip effect. It was observed that the flow shows abnormal Fahraeus–Lindqvist effect.…”

Section: Introductionmentioning

confidence: 99%

Flow of two immiscible non-Newtonian fluids in an elastic tube

Sreenadh

Sumalatha²,

Srinivas

2022

WJE

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Purpose This paper aims to investigate the flow of two-layered non-Newtonian fluids with different viscosities in an axisymmetric elastic tube. Design/methodology/approach A mathematical model was considered for this study to describe the flow characteristics of two-layered non- Newtonian Jeffrey fluids in an elastic tube. Because Jeffrey fluid model is a better model for the description of physiological fluid motion. Further, this model is a significant generalization of Newtonian fluid model. Analytical expressions for flux, stream functions, velocities and interface velocity have been derived in terms of elastic parameters, inlet, outlet and external pressures. The effects of various pertinent parameters on the flow behavior have been studied. Findings The volumetric flow rate was calculated by different models of Mazumdar (1992) and Rubinow and Keller (1972); from this it was found that the flux of Jeffrey fluid is more in the case of Rubinow and Keller model than Mazumdar. A comparative study is made between single-fluid and two-fluid models of Jeffrey fluid flows and it was observed that more flux and higher velocities were observed in the case of two-fluid model rather than single-fluid model. Furthermore, when both the Jeffrey parameter tends to zero and ratios of viscosities and radii are unity, the results in this study agree with those of Rubinow and Keller (1972). Originality/value To describe the fluid flow in an elastic tube with two-layered systems, the models and solutions developed here are very important. These results will be highly suitable in analyzing the rheological characteristics of blood flow in a small blood vessel because of their elastic nature.

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“…Besides, the Herschel-Bulkley model can be reduced to different models, for example, Newtonian, Bingham-plastic and Power law for a related estimation of yield stress and fluid behavior index. The examinations on the peristaltic mechanism of Herschel-Bulkley fluid for various geometries, physiological circumstances, and assumptions have been introduced in the investigations of Chunhui et al (2010), Manjunatha et al (2013Manjunatha et al ( , 2014, Santhosh et al (2015).…”

Section: Introductionmentioning

confidence: 99%

Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube

Vaidya¹,

Manjunatha

Rajashekhar³

et al. 2018

MMMS

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Purpose This paper is concerned with the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impacts of slip and heat transfer on the Herschel-Bulkley fluid are considered. The impacts of relevant parameters on flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids. The paper aims to discuss these issues. Design/methodology/approach The administering equations are solved utilizing long wavelength and low Reynolds number approximations, and exact solutions are acquired for velocity, temperature, flux and stream functions. Findings It is seen that the flow rate in a Newtonian fluid is high when contrasted with the Herschel-Bulkley model, and the inlet elastic radius and outlet elastic radius have opposite effects on the flow rate. Originality/value The analysis carried out in this paper is about the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impact of slip and heat transfer on a Herschel-Bulkley fluid is taken into account. The impacts of relevant parameters on the flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids.

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Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

Cited by 9 publications

References 19 publications

A case study on the evolution of rigid zones within the permanent two-dimensional Herschel-Bulkley fluid flow

A case study on the evolution of rigid zones within the permanent two-dimensional Herschel-Bulkley fluid flow

Flow of two immiscible non-Newtonian fluids in an elastic tube

Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube

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