Flow rate in a channel with small-amplitude pulsating walls

Mingalev, Stanislav; Lyubimova, T. P.; Filippov, L.O.

doi:10.1016/j.euromechflu.2014.11.015

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…The amplitude of the oscillating fluid can increase or decrease as Wo > 1. Additional important studies regarding the Womersley number in pulsatile blood flow are recounted in [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

A Simple Transient Poiseuille-Based Approach to Mimic the Womersley Function and to Model Pulsatile Blood Flow

et al. 2021

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As it is known, the Womersley function models velocity as a function of radius and time. It has been widely used to simulate the pulsatile blood flow through circular ducts. In this context, the present study is focused on the introduction of a simple function as an approximation of the Womersley function in order to evaluate its accuracy. This approximation consists of a simple quadratic function, suitable to be implemented in most commercial and non-commercial computational fluid dynamics codes, without the aid of external mathematical libraries. The Womersley function and the new function have been implemented here as boundary conditions in OpenFOAM ESI software (v.1906). The discrepancy between the obtained results proved to be within 0.7%, which fully validates the calculation approach implemented here. This approach is valid when a simplified analysis of the system is pointed out, in which flow reversals are not contemplated.

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Section: Introductionmentioning

confidence: 99%

A Simple Transient Poiseuille-Based Approach to Mimic the Womersley Function and to Model Pulsatile Blood Flow

et al. 2021

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Reduction of pressure losses and increase of mixing in laminar flows through channels with long-wavelength vibrations

Floryan

Zandi

2019

J. Fluid Mech.

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Pressure losses and mixing in vibrating channels were analysed. The vibrations in the form of long-wavelength travelling waves were considered. Significant reduction of pressure losses can be achieved using sufficiently fast waves propagating downstream, while significant increase of such losses is generated by waves propagating upstream. The mechanisms responsible for pressure losses were identified and discussed. The interaction of the pressure field with the waves can create a force which assists the fluid movement. A similar force can be created by friction, but only under conditions leading to flow separation. An analysis of particle trajectories was carried out to determine the effect of vibrations on mixing. A significant transverse particle movement takes place, including particle trajectories with back loops. The downstream-propagating out-of-the phase waves provide a large reduction of pressure gradient and significant potential for mixing intensification. Analysis of energy requirements demonstrates that it is possible to identify waves which reduce power requirements, i.e. the cost of actuation is smaller than the energy savings associated with the reduction of pressure gradient. The fast forward moving waves provide an opportunity for the development of alternative propulsion methods which can be more efficient than methods based on the pressure difference.

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Compressible Flows with Oscillating Boundaries

Logvinov

2023

Fluid Dyn

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Flow rate in a channel with small-amplitude pulsating walls

Cited by 4 publications

References 12 publications

A Simple Transient Poiseuille-Based Approach to Mimic the Womersley Function and to Model Pulsatile Blood Flow

A Simple Transient Poiseuille-Based Approach to Mimic the Womersley Function and to Model Pulsatile Blood Flow

Reduction of pressure losses and increase of mixing in laminar flows through channels with long-wavelength vibrations

Compressible Flows with Oscillating Boundaries

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