On contact-line dynamics with mass transfer
We investigate the effect of mass transfer on the evolution of a thin, two-dimensional, partially wetting drop. While the effects of viscous dissipation, capillarity, slip and uniform mass transfer are taken into account, other effects, such as gravity, surface tension gradients, vapour transport an...
| Main Authors: | , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Cambridge University Press
2015
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| _version_ | 1826310902170779648 |
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| author | Oliver, JM Whiteley, JP Saxton, M Vella, D Zubkov, V King, J |
| author_facet | Oliver, JM Whiteley, JP Saxton, M Vella, D Zubkov, V King, J |
| author_sort | Oliver, JM |
| collection | OXFORD |
| description | We investigate the effect of mass transfer on the evolution of a thin, two-dimensional, partially wetting drop. While the effects of viscous dissipation, capillarity, slip and uniform mass transfer are taken into account, other effects, such as gravity, surface tension gradients, vapour transport and heat transport, are neglected in favour of mathematical tractability. Our focus is on a matched-asymptotic analysis in the small-slip limit, which reveals that the leading-order outer formulation and contact-line law depend delicately on both the sign and the size of the mass transfer flux. This leads, in particular, to novel generalisations of Tanner’s law. We analyse the resulting evolution of the drop on the timescale of mass transfer and validate the leading-order predictions by comparison with preliminary numerical simulations. Finally, we outline the generalisation of the leading-order formulations to prescribed non-uniform rates of mass transfer and to three dimensions. |
| first_indexed | 2024-03-07T07:58:54Z |
| format | Journal article |
| id | oxford-uuid:577c1ded-4d0d-42a6-b82a-1d0850c3fdb2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:58:54Z |
| publishDate | 2015 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:577c1ded-4d0d-42a6-b82a-1d0850c3fdb22023-09-18T09:37:04ZOn contact-line dynamics with mass transferJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:577c1ded-4d0d-42a6-b82a-1d0850c3fdb2EnglishORA DepositCambridge University Press2015Oliver, JMWhiteley, JPSaxton, MVella, DZubkov, VKing, JWe investigate the effect of mass transfer on the evolution of a thin, two-dimensional, partially wetting drop. While the effects of viscous dissipation, capillarity, slip and uniform mass transfer are taken into account, other effects, such as gravity, surface tension gradients, vapour transport and heat transport, are neglected in favour of mathematical tractability. Our focus is on a matched-asymptotic analysis in the small-slip limit, which reveals that the leading-order outer formulation and contact-line law depend delicately on both the sign and the size of the mass transfer flux. This leads, in particular, to novel generalisations of Tanner’s law. We analyse the resulting evolution of the drop on the timescale of mass transfer and validate the leading-order predictions by comparison with preliminary numerical simulations. Finally, we outline the generalisation of the leading-order formulations to prescribed non-uniform rates of mass transfer and to three dimensions. |
| spellingShingle | Oliver, JM Whiteley, JP Saxton, M Vella, D Zubkov, V King, J On contact-line dynamics with mass transfer |
| title | On contact-line dynamics with mass transfer |
| title_full | On contact-line dynamics with mass transfer |
| title_fullStr | On contact-line dynamics with mass transfer |
| title_full_unstemmed | On contact-line dynamics with mass transfer |
| title_short | On contact-line dynamics with mass transfer |
| title_sort | on contact line dynamics with mass transfer |
| work_keys_str_mv | AT oliverjm oncontactlinedynamicswithmasstransfer AT whiteleyjp oncontactlinedynamicswithmasstransfer AT saxtonm oncontactlinedynamicswithmasstransfer AT vellad oncontactlinedynamicswithmasstransfer AT zubkovv oncontactlinedynamicswithmasstransfer AT kingj oncontactlinedynamicswithmasstransfer |