Abstract:Individual DNA molecules in an ultradilute solution were observed with a fluorescence microscope as they flow between a scaled-down rotating roll and a stationary glass knife. The roll picks up a thin layer of liquid from a pool and drags it to the knife, establishing a bead delineated by two menisci. At low roll speed the flow is premetered and there is a large recirculation. The DNA experiences nearly rectilinear shear flow at the minimum gap position where there is a zero velocity surface. We report the mea… Show more
“…In this context, fluorescentlytagged DNA chains can act as polymer configuration tracers in many complex flows. Recently Duggal and Pasquali [145] have provided just such study of a small-scale coating flow. In a different application, shear and sink flow have been shown to provide an excellent means of both creating fast concatenation or assembly of DNA [146] as well as controlled fragmentation of DNA for gene sequencing [147].…”
“…In this context, fluorescentlytagged DNA chains can act as polymer configuration tracers in many complex flows. Recently Duggal and Pasquali [145] have provided just such study of a small-scale coating flow. In a different application, shear and sink flow have been shown to provide an excellent means of both creating fast concatenation or assembly of DNA [146] as well as controlled fragmentation of DNA for gene sequencing [147].…”
“…14,15 extension under constant shear grows asymptotically to approximately 50% of the contour length at very high Weissenberg numbers (w i > 150), where w i equals the strain rate perpendicular to flow, _ e e \ , multiplied by the longest polymer relaxation time, t relax . 18 The strain rate is a device property and, for purposes of roughly estimating w i , is the same on average for all DNA sizes,{ whereas the relaxation time grows with increasing DNA size. Consequently longer polymers, like the y50 and 185 kb DNA used here, are expected to tumble up to the funnel in a mixture of partially extended states.…”
Section: Initial Microflow Design Criteria and Development Of Hypothesesmentioning
High-throughput stretching and monitoring of single DNA molecules in continuous elongational flow offers compelling advantages for biotechnology applications such as DNA mapping. However, the polymer dynamics in common microfluidic implementations are typically complicated by shear interactions. These effects were investigated by observation of fluorescently labeled 185 kb bacterial artificial chromosomes in sudden mixed shear and elongational microflows generated in funneled microfluidic channels. The extension of individual free DNA molecules was studied as a function of accumulated fluid strain and strain rate. Under constant or gradually changing strain rate conditions, stretching by the sudden elongational component proceeded as previously described for an ideal elongational flow (T. T. Perkins, D. E. Smith and S. Chu, Science, 1997, 276, 2016): first, increased accumulated fluid strain and increased strain rate produced higher stretching efficiencies, despite the complications of shear interactions; and second, the results were consistent with unstretched molecules predominantly in hairpin conformations. More abrupt strain rate profiles did not deliver a uniform population of highly extended molecules, highlighting the importance of balance between shear and elongational components in the microfluidic environment for DNA stretching applications. DNA sizing with up to 10% resolution was demonstrated. Overall, the device delivered 1000 stretched DNA molecules per minute in a method compatible with diffraction-limited optical sequence motif mapping and without requiring laborious chemical modifications of the DNA or the chip surface. Thus, the method is especially well suited for genetic characterization of DNA mixtures such as in pathogen fingerprinting amidst high levels of background DNA.
“…Indeed, coating materials, such as paints and lacquers commonly used to prevent corrosion in automotive industry, often behave like non-Newtonian fluids. The deposition of various non-Newtonian fluids, such as polymer solutions or elastic fluids, has been addressed theoretically, numerically or experimentally (Gutfinger & Tallmadge 1965;Huzyak & Koelling 1997;Quéré 1999;Kamisli & Ryan 1999;Gauri & Koelling 1999;Kamisli & Ryan 2001;Kamışlı 2003;Weinstein & Ruschak 2004;Duggal & Pasquali 2004;Behr et al 2005;Quintella et al 2007;Ashmore et al 2008;Boehm et al 2011). In particular, for a shear-thinning or shear-thickening fluid, with a stress/strain-rate relationship in simple shear given by τ = kγ n (where n denotes the power-law index and k the consistency (in Pa.s n )), the same scaling arguments as for Newtonian fluids can be used (Gutfinger & Tallmadge 1965;Hewson et al 2009), thus yielding:…”
Since the pioneering works of Taylor and Bretherton, the thickness h of the film deposited behind a long bubble invading a Newtonian fluid is known to increase with the Capillary number power 2/3 (h ∼ RCa 2/3 ), where R is the radius of the circular tube and the Capillary number, Ca, comparing the viscous and capillary effects. This law, known as Bretherton law, is only valid in the limit of Ca < 0, 01 and negligible inertia and gravity. We revisit this classical problem when the fluid is a Yield-Stress Fluid (YSF) exhibiting both a yield stress and a shear-thinning behaviour. First, we provide quantitative measurement of the thickness of the deposited layer for Carbopol HerschelBulkley fluid in the limit where the yield-stress is of similar order of magnitude as the capillary pressure and for 0.1 < Ca < 1. To understand our observation, we use scaling arguments to extend the analytical expression of Bretherton's law to YSF in circular tubes. In the limit of Ca < 0, 1, our scaling law, in which the adjustable parameters are set using previous results concerning non-Newtonian fluid, successfully retrieves several features of the literature. First, it shows that (i) the thickness deposited behind a Bingham YSF (exhibiting a yield stress only) is larger than for a Newtonian fluid and (ii) the deposited layer increases with the amplitude of the yield stress. This is in quantitative agreement with previous numerical results concerning Bingham fluid. It also agrees with results concerning pure shear-thinning fluids in the absence of yield stress : the shear-thinning behaviour of the fluid reduces the deposited thickness as previously observed. Last, in the limit of vanishing velocity, our scaling law predicts that the thickness of deposited YSF converges towards a finite value, which presumably depends on the microstructure of the YSF, in agreement with previous research on the topic performed in different geometries. For 0.1 < Ca < 1,the scaling law fails to describe the data. In this limit, non-linear effects must be taken into account.
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