One-dimensional model of valveless pumping in a closed loop and a numerical solution

Manopoulos, CG; Mathioulakis, DS; Tsangaris, SG

dc.contributor.author	Manopoulos, CG	en
dc.contributor.author	Mathioulakis, DS	en
dc.contributor.author	Tsangaris, SG	en
dc.date.accessioned	2014-03-01T01:55:35Z
dc.date.available	2014-03-01T01:55:35Z
dc.date.issued	2006	en
dc.identifier.issn	1070-6631	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/27798
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	PIPE-CAPACITY-SYSTEM	en
dc.subject.other	COMPUTER-SIMULATION	en
dc.subject.other	ARTERIAL STENOSES	en
dc.subject.other	WAVE-PROPAGATION	en
dc.subject.other	ELASTIC TUBES	en
dc.subject.other	PISTON PUMP	en
dc.subject.other	T-JUNCTION	en
dc.subject.other	FLOW	en
dc.subject.other	PRESSURE	en
dc.title	One-dimensional model of valveless pumping in a closed loop and a numerical solution	en
heal.type	journalArticle	en
heal.identifier.secondary	017106	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The development of a theoretical model of valveless pumping and its numerical solution is presented in this work, applied for the case of a closed hydraulic loop, consisting of a soft and a rigid tube. A periodic compression and decompression of the soft tube causes a unidirectional flow, under certain conditions. The integration of the governing flow equations (continuity and momentum), over the tube cross-sectional area results in a quasi-one-dimensional unsteady model. A system of nonlinear partial differential equations of the hyperbolic type is solved numerically, employing three finite difference schemes: Lax-Wendroff, MacCormack, and Dispersion Relation Preserving, the last being the most accurate one. When the excitation takes place far from the midlength of the soft tube, a phase difference between the pressures at the two edges of each tube is developed, being in advance the one that is closer to the excitation area. Increasing the tube occlusion or the length of the excited part of the loop the mean flow rate increases and maximizes at the natural frequency of the loop. The direction of the maximum mean flow rate, for a given tube occlusion, is from the excitation area toward the edge of the stiff tube, which is located closer to the excitation area. Varying the excitation frequency both above and below the resonance frequency, local flow rate extremes appear, manifesting the complex character of the valveless pumping phenomenon.	en
heal.publisher	AMER INST PHYSICS	en
heal.journalName	PHYSICS OF FLUIDS	en
dc.identifier.isi	ISI:000235015200029	en
dc.identifier.volume	18	en
dc.identifier.issue	1	en