The carreau-yasuda fluids: a skin friction equation for turbulent flow in pipes and kolmogorov dissipative scales

Andrade, Luiz Claudio F.; Petronílio, Jamilson A.; Maneschy, Calos Edilson de A.; Cruz, D. O. A.

doi:10.1590/s1678-58782007000200005

Cited by 23 publications

(18 citation statements)

References 6 publications

(4 reference statements)

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“…The Carreu-Yasuda model was used to describe the relationship between η a and γ. 14,15 Finite volume method Fluent uses the finite volume method to discretise the Navier-Stokes equations, where the fluid domain is divided into a number…”

Section: Fluid Dynamics Equations Of Motionmentioning

confidence: 99%

Computational fluid dynamics simulations as a complementary study for transcatheter endovascular stent implantation for re-coarctation of the aorta associated with minimal pressure drop: an aneurysmal ductal ampulla with aortic isthmus narrowing

et al. 2019

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Background:Transcatheter stent implantation has been employed to treat re-coarctation of the aorta in adolescents and young adults. The aim of this work is to use computational fluid dynamics to characterise haemodynamics associated with re-coarctation involving an aneurysmal ductal ampulla and aortic isthmus narrowing, which created minimal pressure drop, and to incorporate computational fluid dynamics’s findings into decision-making concerning catheter-directed treatment.Methods:Computational fluid dynamics permits numerically solving the Navier–Stokes equations governing pulsatile flow in the aorta, based on patient-specific data. We determined flow-velocity fields, wall shear stresses, oscillatory shear indices, and particle stream traces, which cannot be ascertained from catheterisation data or magnetic resonance imaging.Results:Computational fluid dynamics showed that, as flow entered the isthmus, it separated from the aortic wall, and created vortices leading to re-circulating low-velocity flow that induced low and multidirectional wall shear stress, which could sustain platelet-mediated thrombus formation in the ampulla. In contrast, as flow exited the isthmus, it created a jet leading to high-velocity flow that induced high and unidirectional wall shear stress, which could eventually undermine the wall of the descending aorta.Summary:We used computational fluid dynamics to study re-coarctation involving an aneurysmal ductal ampulla and aortic isthmus narrowing. Despite minimal pressure drop, computational fluid dynamics identified flow patterns that would place the patient at risk for: thromboembolic events, rupture of the ampulla, and impaired descending aortic wall integrity. Thus, catheter-directed stenting was undertaken and proved successful. Computational fluid dynamics yielded important information, not only about the case presented, but about the complementary role it can serve in the management of patients with complex aortic arch obstruction.

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Section: Fluid Dynamics Equations Of Motionmentioning

confidence: 99%

Computational fluid dynamics simulations as a complementary study for transcatheter endovascular stent implantation for re-coarctation of the aorta associated with minimal pressure drop: an aneurysmal ductal ampulla with aortic isthmus narrowing

et al. 2019

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“…The Carreau-Yasuda-like model has been successfully used in the rheology area (such as polymers, asphalts), and thus was selected for the use of a non-linear regression model [35,36]. The Carreau-Yasuda-like model was as follows:

η false(t false) = η_{\infty} + false(η_{0} - η_{\infty} false) \times {[1 + {(λ t)}^{α}]}^{\frac{β - 1}{α}}

…”

Section: Experimental and Modelingmentioning

confidence: 99%

An Optical Fiber Viscometer Based on Long-Period Fiber Grating Technology and Capillary Tube Mechanism

Wang

Tang

2010

Sensors

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This work addresses the development and assessment of a fiber optical viscometer using a simple and low-cost long-period fiber grating (LPFG) level sensor and a capillary tube mechanism. Previous studies of optical viscosity sensors were conducted by using different optical sensing methods. The proposed optical viscometer consists of an LPFG sensor, a temperature-controlled chamber, and a cone-shaped reservoir where gravitational force could cause fluid to flow through the capillary tube. We focused on the use of LPFGs as level sensors and the wavelength shifts were not used to quantify the viscosity values of asphalt binders. When the LPFG sensor was immersed in the constant volume (100 mL) AC-20 asphalt binder, a wavelength shift was observed and acquired using LabVIEW software and GPIB controller. The time spent between empty and 100 mL was calculated to determine the discharge time. We simultaneously measured the LPFG-induced discharge time and the transmission spectra both in hot air and AC-20 asphalt binder at five different temperatures, 60, 80, 100, 135, and 170 Celsius. An electromechanical rotational viscometer was also used to measure the viscosities, 0.15–213.80 Pa·s, of the same asphalt binder at the above five temperatures. A non-linear regression analysis was performed to convert LPFG-induced discharge time into viscosities. Comparative analysis shows that the LPFG-induced discharge time agreed well with the viscosities obtained from the rotational viscometer.

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“…(2) to calculate the wall shear stress at high shear rates Andrade, Petronillo, de Maneschy, and de Cruz (2007) derived the expression in Eq. (10) for the generalized Reynolds number.…”

Section: Rementioning

confidence: 99%

“…The mass flow rates calculated using the Reynolds numbers with either the zero-shear viscosity in Eq. (6) or with the expression of Andrade et al (2007) in Eq. (10) show in Table 3 even larger inaccuracies and therefore they are here discarded for further consideration.…”

Section: Re Wall Shear Minmentioning

confidence: 99%

A viscosity correction factor for shear-thinning liquid flows in safety valves

Moncalvo

Friedel

2010

Journal of Loss Prevention in the Process Industries

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The carreau-yasuda fluids: a skin friction equation for turbulent flow in pipes and kolmogorov dissipative scales

Cited by 23 publications

References 6 publications

Computational fluid dynamics simulations as a complementary study for transcatheter endovascular stent implantation for re-coarctation of the aorta associated with minimal pressure drop: an aneurysmal ductal ampulla with aortic isthmus narrowing

Computational fluid dynamics simulations as a complementary study for transcatheter endovascular stent implantation for re-coarctation of the aorta associated with minimal pressure drop: an aneurysmal ductal ampulla with aortic isthmus narrowing

An Optical Fiber Viscometer Based on Long-Period Fiber Grating Technology and Capillary Tube Mechanism

A viscosity correction factor for shear-thinning liquid flows in safety valves

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