FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2610491305> ?p ?o ?g. }

• W2610491305 endingPage "60" @default.
• W2610491305 startingPage "42" @default.
• W2610491305 abstract "For a liquid film falling down along a vertical fibre, classical theory (Kalliadasis & Chang J. Fluid Mech. , vol. 261, 1994, pp. 135–168; Yu & Hinch J. Fluid Mech. , vol. 737, 2013, pp. 232–248) showed that drop formation can occur due to capillary instability when the Bond number $G=unicode[STIX]{x1D70C}ga^{3}/unicode[STIX]{x1D6FE}h_{0}$ is below the critical value $G_{c}approx 0.60$ , where $unicode[STIX]{x1D70C}$ is the fluid density, $g$ is the gravitational acceleration, $a$ is the fibre radius, $unicode[STIX]{x1D6FE}$ is the surface tension and $h_{0}$ is the unperturbed film thickness. However, the experiment by Quéré ( Europhys. Lett. , vol. 13 (8), 1990, pp. 721–726) found $G_{c}approx 0.71$ , which is slightly greater than the above theoretical value. Here we offer a plausible way to resolve this discrepancy by including additional wall slip whose amount can be measured by the slip parameter $unicode[STIX]{x1D6EC}=3unicode[STIX]{x1D706}/h_{0}$ , where $unicode[STIX]{x1D706}$ is the slip length. Using lubrication theory, we find that wall slip promotes capillary instability and, hence, enhances drop formation. In particular, when slip effects are strong ( $unicode[STIX]{x1D6EC}gg 1$ ), the transition films and the drop height scale as $(c/unicode[STIX]{x1D6EC})^{-1/3}$ and $(c/unicode[STIX]{x1D6EC})^{2/3}$ , respectively, distinct from those found by Yu & Hinch for the no-slip case where $c$ is the travelling speed. In addition, for $unicode[STIX]{x1D6EC}>1$ , $G_{c}$ is found to increase with $unicode[STIX]{x1D6EC}$ according to $G_{c}approx 0.7unicode[STIX]{x1D6EC}^{1/3}$ , offering a possible explanation why the $G_{c}$ found by Quéré is slightly greater than that predicted by the no-slip model. Using the above expression, the estimated slip length in Quéré’s experiment is found to be of the order of several micrometres, consistent with the typical slip length range 1– $10~unicode[STIX]{x03BC}text{m}$ for polymeric liquids such as silicone oil used in his experiment. The existence of wall slip in Quéré’s experiment is further supported by the observation that the film thinning kinetics exhibits the no-slip result $hpropto t^{-1/2}$ for early times and changes to the strong slip result $hpropto t^{-1}$ , where $h$ is the film thickness. We also show that when the film is ultrathin, although capillary instability can become further amplified by strong slip effects, the instability can be arrested by the equally intensified gravity draining in the weakly nonlinear regime whose dynamics is governed by the Kuramoto–Sivashinsky equation." @default.
• W2610491305 created "2017-05-12" @default.
• W2610491305 creator A5047035108 @default.
• W2610491305 creator A5079007417 @default.
• W2610491305 date "2017-05-02" @default.
• W2610491305 modified "2023-10-18" @default.
• W2610491305 title "Slip-enhanced drop formation in a liquid falling down a vertical fibre" @default.
• W2610491305 cites W1984830065 @default.
• W2610491305 cites W1993134246 @default.
• W2610491305 cites W1997525707 @default.
• W2610491305 cites W2018288657 @default.
• W2610491305 cites W2032901941 @default.
• W2610491305 cites W2034382386 @default.
• W2610491305 cites W2035157862 @default.
• W2610491305 cites W2054043646 @default.
• W2610491305 cites W2075438645 @default.
• W2610491305 cites W2092386328 @default.
• W2610491305 cites W2099144861 @default.
• W2610491305 cites W2100413811 @default.
• W2610491305 cites W2102269451 @default.
• W2610491305 cites W2107134869 @default.
• W2610491305 cites W2108512097 @default.
• W2610491305 cites W2131920404 @default.
• W2610491305 cites W2155788949 @default.
• W2610491305 cites W2318242138 @default.
• W2610491305 cites W2321785550 @default.
• W2610491305 cites W2330088445 @default.
• W2610491305 cites W2591229226 @default.
• W2610491305 doi "https://doi.org/10.1017/jfm.2017.202" @default.
• W2610491305 hasPublicationYear "2017" @default.
• W2610491305 type Work @default.
• W2610491305 sameAs 2610491305 @default.
• W2610491305 citedByCount "17" @default.
• W2610491305 countsByYear W26104913052018 @default.
• W2610491305 countsByYear W26104913052019 @default.
• W2610491305 countsByYear W26104913052020 @default.
• W2610491305 countsByYear W26104913052021 @default.
• W2610491305 countsByYear W26104913052023 @default.
• W2610491305 crossrefType "journal-article" @default.
• W2610491305 hasAuthorship W2610491305A5047035108 @default.
• W2610491305 hasAuthorship W2610491305A5079007417 @default.
• W2610491305 hasConcept C121332964 @default.
• W2610491305 hasConcept C204321447 @default.
• W2610491305 hasConcept C2781345722 @default.
• W2610491305 hasConcept C41008148 @default.
• W2610491305 hasConcept C500551929 @default.
• W2610491305 hasConcept C76155785 @default.
• W2610491305 hasConceptScore W2610491305C121332964 @default.
• W2610491305 hasConceptScore W2610491305C204321447 @default.
• W2610491305 hasConceptScore W2610491305C2781345722 @default.
• W2610491305 hasConceptScore W2610491305C41008148 @default.
• W2610491305 hasConceptScore W2610491305C500551929 @default.
• W2610491305 hasConceptScore W2610491305C76155785 @default.
• W2610491305 hasLocation W26104913051 @default.
• W2610491305 hasOpenAccess W2610491305 @default.
• W2610491305 hasPrimaryLocation W26104913051 @default.
• W2610491305 hasRelatedWork W1953677193 @default.
• W2610491305 hasRelatedWork W2025212001 @default.
• W2610491305 hasRelatedWork W2404000518 @default.
• W2610491305 hasRelatedWork W2736233706 @default.
• W2610491305 hasRelatedWork W2756348410 @default.
• W2610491305 hasRelatedWork W2767387979 @default.
• W2610491305 hasRelatedWork W2886762444 @default.
• W2610491305 hasRelatedWork W2892354045 @default.
• W2610491305 hasRelatedWork W2935759653 @default.
• W2610491305 hasRelatedWork W3113362864 @default.
• W2610491305 hasVolume "820" @default.
• W2610491305 isParatext "false" @default.
• W2610491305 isRetracted "false" @default.
• W2610491305 magId "2610491305" @default.
• W2610491305 workType "article" @default.