Model of inertial spreading and imbibition of a liquid drop on a capillary plate |
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| Authors: | Michel Y Louge Shilpa Sahoo |
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| Affiliation: | Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853 |
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| Abstract: | We outline a low‐order Lagrangian model for the inertial dynamics of spreading and imbibition of a spherical liquid cap on a plane featuring independent cylindrical capillaries without gravity. The analysis predicts the relative roles of radial and axial kinetic energy, reveals the critical Laplace number beyond which the drop oscillates, and attributes the exponent of the initial power‐law for contact patch radius vs. time to the form of capillary potential energy just after the liquid sphere touches the plate. © 2017 American Institute of Chemical Engineers AIChE J, 63: 5474–5481, 2017 |
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| Keywords: | capillarity liquid imbibition contact angle liquid spreading surface tension |
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