Dimensionless analysis of valveless pumping in a thick-wall elastic tube: Application to the tubular embryonic heart

Kozlovsky, Pavel; Rosenfeld, M.; Jaffa, Ariel J.; Elad, David

doi:10.1016/j.jbiomech.2015.03.001

Cited by 15 publications

(23 citation statements)

References 31 publications

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“…In the present stage of the study, fundamental concepts and performance issues are being evaluated. To allow a large number of parametric runs of the multi-vessel systems, the flow is modeled by the unsteady 1D, quasi-viscous, incompressible Navier-Stokes equations, which has been shown to yield reasonable results for system of compliant vessels [ 19 , 20 , 21 , 22 , 23 ]. The details of the derivation can be found, for example, in [ 8 , 19 , 22 ].…”

Section: Methodsmentioning

confidence: 99%

“…However, 2D, and certainly 3D, FSI simulations of impedance pumping consume large computational resources and, therefore, 1D approximations are common, especially if comprehensive parametric study is pursued [ 2 , 8 , 13 , 14 , 19 , 20 , 21 ]. Ottesen [ 8 ] employed a 1D approximation of the Navier-Stokes equations to model the flow generated by periodic compression of a torus made of two sections with different stiffness.…”

Section: Introductionmentioning

confidence: 99%

“…They conducted experiments as well, which revealed a very good agreement with the numerical results, demonstrating the validity of the 1D approximation. Quite a large volume of studies of impedance pumping employed later the 1-D approximation to study various aspects and, in particular, the dependence of the NFR on the various governing parameters, e.g., [ 2 , 13 , 14 , 21 ].…”

Section: Introductionmentioning

confidence: 99%

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Impedance Pumping and Resonance in a Multi-Vessel System

Zislin

Rosenfeld

2018

Bioengineering

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Impedance pumping is a mechanism that generates flow in a compliant vessel by repeatedly actuating the vessel asymmetrically, without employing any internal valves, blades, or other mechanisms. The net flow is obtained by establishing a constructive wave pattern. Elaborate studies of impedance pumping in a single vessel have shown that the flow rate strongly depends on the actuation frequency, as well as on other parameters, such as actuator location and amplitude, and that it operates best in the resonance mode. The present study extends these principles to a network of multiple compliant vessels, representing a cardiovascular system. The flow is modeled numerically by the one-dimensional approximation of the Navier-Stokes equations. Two configurations were examined, systems consisting of three and five compliant vessels. First, the natural frequencies of these configurations were identified. Then, the dependence of the net flow rate (NFR) on the actuating frequency was explored, showing that impedance pumping operates best in the resonance mode in the case of a network of vessels as well. The impact of other parameters were studied as well, such as the location of one or two actuators, actuation amplitude, actuator width, the duty cycle, and the phase lag between the actuators. The results show that impedance pumps can generate significant NFR and the obtained NFR can be manipulated by properly setting up one or more of the governing parameters. These findings indicate that impedance pumping principles may be applied to flow control of the cardiovascular system.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Impedance Pumping and Resonance in a Multi-Vessel System

Zislin

Rosenfeld

2018

Bioengineering

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“…In all cases the flexible membrane seemed to be the key parameter. It allows wave propagation and energy storage through elasticity (Avrahami & Gharib 2008;Kozlovsky et al 2015). Meier (2011) suggested studying the case of a free-surface Liebau pump.…”

Section: Introductionmentioning

confidence: 99%

“…Preliminary results showed promising application for macro-scale applications. All the major studies in the field (Liebau 1954(Liebau , 1955Ottesen 2003;Rinderknecht et al 2005;Hickerson & Gharib 2006;Jung 2007;Bringley et al 2008;Jung et al 2008;Meier 2011;Kozlovsky et al 2015) were concerned with micro-scale applications and the study of a bloodstream equivalent system. All these applications are done at rather small scales (less than a centimetre of diameter and Resonance wave pumping with surface waves 3 variable length).…”

Section: Introductionmentioning

confidence: 99%

Resonance wave pumping with surface waves

et al. 2016

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In this paper, we present a novel extension of impedance (Liebau) wave pumping to a free-surface condition where resonance pumping could be used for hydraulic energy harvesting. Similar pumping behaviours are reported. Surface envelopes of the free surface are shown and outline two different dynamics: U-tube oscillator and wave/resonance pumping. The latter is particularly interesting, since, from an oscillatory motion, a unidirectional flow with small to moderate oscillations is generated. A linear theory is developed to evaluate pseudo-analytically the resonance frequencies of the pump using eigenfunction expansions, and a simplified model is proposed to understand the main pumping mechanism in this type of pump. It is found that the Stokes mass transport is driving the pump. The conversion of energy from paddle oscillation to mean flow is evaluated. Efficiency up to 22 % is reported.

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The Driving Mechanism for Unidirectional Blood Flow in the Tubular Embryonic Heart

et al. 2016

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The embryonic heart of vertebrate embryos, including humans, has a tubular thick-wall structure when it first starts to beat. The tubular embryonic heart (TEH) does not have valves, and yet, it produces an effective unidirectional blood flow. The actual pumping mechanism of the TEH is still controversial with pros and cons for either peristaltic pumping (PP) or impedance pumping (IP). On the other hand, observation of movies of the contractile TEH of the quail revealed a propagating wave from the venous end towards the arterial end that occludes the lumen behind the leading edge. This pattern of contraction represents a complex PP with a duty cycle, and was defined here as biological pumping (BP). In this work we developed a heart-like model that represents the main features of the chick TEH and allows for numerical analysis of all the three pumping mechanisms (i.e., IP, PP, and BP) as well as a comprehensive sensitivity evaluation of the structural, operating, and mechanical parameters. The physical model also included components representing the whole circulatory system of the TEH. The simulations results revealed that the BP mechanism yielded the level and time-dependent pattern of blood flow and blood pressure, as well as contractility that were observed in experiments.

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Dimensionless analysis of valveless pumping in a thick-wall elastic tube: Application to the tubular embryonic heart

Cited by 15 publications

References 31 publications

Impedance Pumping and Resonance in a Multi-Vessel System

Impedance Pumping and Resonance in a Multi-Vessel System

Resonance wave pumping with surface waves

The Driving Mechanism for Unidirectional Blood Flow in the Tubular Embryonic Heart

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