2014
DOI: 10.1007/s10404-014-1365-3
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Capillary pumps with constant flow rate

Abstract: This paper unambiguously derives, ab initio starting from the Navier--Stokes and Laplace equations, the geometric parameters defining capillary pumps with rectangular cross--section with constant volumetric flow rate and steady velocity profile. The parametric formulation of the channel shape is derived using Taylor series approximations of the capillary pressure and the hydrodynamic flow resistance with negligible error. First, the design parameters are derived for a capillary pump consisting of a single chan… Show more

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Cited by 6 publications
(7 citation statements)
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“…For this specific shape, the twodimensional model (Ref. 27; see also ESI) predicts an elliptic liquid The region of uniform width ‫ݓ‬ and length ݈ represents a generalized initial load, and ߚ denotes the opening angle of the expansion. In the hyperbolic section, the 2D model 29 predicts an elliptical liquid front (red curve) whereas the 1D model considered here involves a flat front (blue line).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…For this specific shape, the twodimensional model (Ref. 27; see also ESI) predicts an elliptic liquid The region of uniform width ‫ݓ‬ and length ݈ represents a generalized initial load, and ߚ denotes the opening angle of the expansion. In the hyperbolic section, the 2D model 29 predicts an elliptical liquid front (red curve) whereas the 1D model considered here involves a flat front (blue line).…”
Section: Resultsmentioning
confidence: 99%
“…Solving eqn (10) certainly helps to rationalize several engineering problems in paper-based microfluidics. For instance, the design of capillary pumps that provide a constant flow rate, which is largely explored at present; 15,18,27 this particular case will be discussed later.…”
Section: Inverse Calculationmentioning
confidence: 99%
“…They further demonstrated that this micropump can pump fluid of varying viscosity and density with a constant speed ( Figure 5 (d)) [103,104]. In an another study, researchers have suggested the use of a converging tube to increase the capillary flow velocity [105]. Such systems can be investigated for the blood flow studies where the hematocrit significantly affects the viscosity of blood and thereby the capillary flow velocity.…”
Section: Design Modification To Facilitate Capillary Pumping Of High mentioning
confidence: 99%
“…In capillary devices with constant cross-sections, this leads to the well-known Washburn behavior, which is characterized by a flow rate that depends on the square root of time 1921 . Constant capillary flow can be obtained by introducing a large upstream liquid resistance that dominates the viscous losses in the capillary device 22,23 . Sample viscosity-independent capillary pumping can be obtained by introducing a downstream fluidic resistance for the displaced air that dominates the viscous losses in the capillary system 1 .…”
Section: Introductionmentioning
confidence: 99%