Oscillatory pipe flow: A comparison between predicted and observed displacement profiles

Harris, John B.; Maheshwari, R.

doi:10.1007/bf01839146

Cited by 6 publications

(3 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…These seminal studies were further extended and generalized by Wornersley, Uchida, and others [52][53][54][55]. Later researchers considered dynamics of oscillatory pipe flows at various Reynolds numbers [56,57], both experimentally and theoretically, and specifically investigated transition to turbulence [58,59]. The foundations of fractional derivatives towards fluids viscoelastic behavior were laid by Bagley and Torvik [29].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: General Solutions

Gritsenko

Paoli

2020

Applied Sciences

View full text Add to dashboard Cite

Fractional calculus is a relatively old yet emerging field of mathematics with the widest range of engineering and biomedical applications. Despite being an incredibly powerful tool, it, however, requires promotion in the engineering community. Rheology is undoubtedly one of the fields where fractional calculus has become an integral part of cutting-edge research. There exists extensive literature on the theoretical, experimental, and numerical treatment of various fractional viscoelastic flows in constraint geometries. However, the general theoretical approach that unites several most commonly used models is missing. Here we present exact analytical solutions for fractional viscoelastic flow in a circular pipe. We find velocity profiles and shear stresses for fractional Maxwell, Kelvin–Voigt, Zener, Poynting–Thomson, and Burgers models. The dynamics of these quantities are studied with respect to normalized pipe radius, fractional orders, and elastic moduli ratio. Three different types of behavior are identified: monotonic increase, resonant, and aperiodic oscillations. The models developed are applicable in the widest material range and allow for the alteration of the balance between viscous and elastic properties of the materials.

show abstract

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: General Solutions

Gritsenko

Paoli

2020

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…Barnes et al [9] got experimental relationships between the flow enhancement, the frequency of the fluctuation, pressure gradient, and amplitude of the oscillation for Newtonian and shear-thinning fluids generated by an aqueous solution of polyacrylamide. Harris and Maheshwari [35], also with solutions of polyacrylamide, compared the predicted and measured velocity profiles. Their work did not use specific rheological models, but they were within the general class up to second-order viscoelastic fluids.…”

Section: Introductionmentioning

confidence: 99%

Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

González

Tamburrino

Vacca

et al. 2020

Water

View full text Add to dashboard Cite

The flow between two parallel plates driven by a pulsatile pressure gradient was studied analytically with a second-order velocity expansion. The resulting velocity distribution was compared with a numerical solution of the momentum equation to validate the analytical solution, with excellent agreement between the two approaches. From the velocity distribution, the analytical computation of the discharge, wall shear stress, discharge, and dispersion enhancements were also computed. The influence on the solution of the dimensionless governing parameters and of the value of the rheological index was discussed.

show abstract

“…Die damit verbundenen Probleme wurden in einer Reihe yon Arbeiten sowohl experimentell als auch theoretisch untersucht [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Hierbei ist zu bemerken, dab alle bekannten Arbeiten sich auf Str6mungen in Kan~ilen mit kreisf6rmigem Querschnitt beziehen.…”

Section: Introductionunclassified

Pulsierende Druckstr�mung hochpolymerer Schmelzen im kreisf�rmigen Kanal

Steller

1985

Rheol Acta

View full text Add to dashboard Cite

Zusammenfassung: Es werden theoretische und experimentelle Untersuchungen pulsierender Str6mungen viskoelastischer Fltissigkeiten in einem kreisf6rmigen Kanal durchgeffihrt. Unter Voraussetzung einer eindimensionalen, isothermen und vollentwickelten Str6mung in Anwesenheit sinusf6rmiger Druckgradientenschwankungen wird ffir die rheologische Zustandsgleichung von Bird-Carreau eine asymptotische L6sung erzielt. Die Ergebnisse weisen darauf hin, dab sowohl die relative Amplitude der Ausstol3schwankungen als auch die relative Anderung des mittleren Ausstol3es sich in einer allgemeinen Form darstellen l~il3t, die beziiglich der Temperatur und der relativen Amplitude der Druckgradientenschwankungen invariant ist. Die theoretischen Ergebnisse werden mit experimentellen Daten ftir ein Polyethylen niederer Dichte verglichen. Dabei wird eine gute Llbereinstimmung der Theorie mit dem Experiment festgestellt.Abstract." Theoretical and experimental studies were carried out on the pulsating flow of viscoelastic liquids through a circular channel. By assuming the flow to be one-dimensional, isothermal, and fully developed and the Bird-Carreau constitutive equation to be applicable, an asymptotic solution was found. The results obtained indicate that both the relative amplitude of pulsation of the output and the relative change in the average output may be presented in a generalized form that is independent of the relative amplitude of the pressure pulsations and temperature. The theoretical results were verified experimentally for a low-density polyethylene. Good agreement was found between the theory and the experimental data.

show abstract

Oscillatory pipe flow: A comparison between predicted and observed displacement profiles

Cited by 6 publications

References 24 publications

Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: General Solutions

Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: General Solutions

Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

Pulsierende Druckstr�mung hochpolymerer Schmelzen im kreisf�rmigen Kanal

Contact Info

Product

Resources

About