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

(5 citation statements)

References 19 publications

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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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“…Moreover, the material flows with a nonlinear stress-strain relationship once the yield stress is exceeded, either as a shear-thickening fluid or as a shear-thinning fluid. Paints, cement, food goods, polymers, slurries, blood flow, and pharmaceutical products are a few examples of fluids that behave in this manner [29].…”

Section: Introductionmentioning

confidence: 99%

Exact Analysis of Unsteady Solute Dispersion in Blood Flow: A Theoretical Study

Abidin,

Jaafar,

Ismail

2023

MJMS

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The diameter of an artery can narrow due to atherosclerosis or stenosis, making it challenging to resolve solute dispersion issues as blood flows via a stenosed artery. The stenosis occurrence restricted drug dispersion and blood flow. This research introduces the establishment of a mathematical model in examining the unsteady dispersion with respect to the solute in overlapping stenosis arteries depicting blood as a Herschel-Bulkley (H-B) fluid model. Note that fluid velocity was obtained by analytically solving the governing and constitutive equations. The transport equation has been solved by employing a generalised dispersion model (GDM), in which the dispersion process is described. Accordingly, yield stress, stenosis height, slug input of solute length, as well as a rise in the power-law index have improved the peak with regard to the mean concentration and solute concentration. The maximum mean concentration yielded the effective dose for therapeutic concentration. In conclusion, this study is relevant to disease arteries, coagulating hemodynamics and may help physiologists in furnishing a more refined understanding of diffusion processes in cardiovascular hydrodynamics. An interesting application related to the present study is the transportation of drugs in the arterial blood flow.

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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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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

Exact Analysis of Unsteady Solute Dispersion in Blood Flow: A Theoretical Study

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

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