Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
CONFINEMENT-INDUCED CONTROL OF SIMILARITY SOLUTIONS IN PREMELTING DYNAMICS AND OTHER THIN FILM PROBLEMS
Stockholms universitet, Nordiska institutet för teoretisk fysik (Nordita).ORCID-id: 0000-0001-8487-3551
Stockholms universitet, Nordiska institutet för teoretisk fysik (Nordita). Yale University, USA; University of Oxford, England.
Antal upphovsmän: 22019 (Engelska)Ingår i: SIAM Journal on Applied Mathematics, ISSN 0036-1399, E-ISSN 1095-712X, Vol. 79, nr 3, s. 938-958Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

We study the combined effects of nonlocal elasticity and confinement-induced ordering on the dynamics of thermomolecular pressure gradient driven premelted films bound by an elastic membrane. The confinement-induced ordering is modeled using a film thickness dependent viscosity. When there is no confinement-induced ordering, we recover the similarity solution for the evolution of the elastic membrane, which exhibits an in finite sequence of oscillations. However, when the confinement-induced viscosity is comparable to the bulk viscosity, the numerical solutions of the full system reveal the conditions under which the oscillations and similarity solutions vanish. Implications of our results for general thermomechanical dynamics, frost heave observations, and cryogenic cell preservation are discussed. Finally, through its influence on the viscosity, the confinement effect implicitly introduces a new universal length scale into the volume flux. Thus, there are a host of thin film problems, from droplet breakup to wetting/dewetting dynamics, whose properties (similarity solutions, regularization, and compact support) will change under the action of the confinement effect. Therefore, our study suggests revisiting the mathematical structure and experimental implications of a wide range of problems within the framework of the confinement effect.

Ort, förlag, år, upplaga, sidor
2019. Vol. 79, nr 3, s. 938-958
Nyckelord [en]
similarity solutions, conservation laws, premelting dynamics
Nationell ämneskategori
Matematik
Identifikatorer
URN: urn:nbn:se:su:diva-171203DOI: 10.1137/18M1176300ISI: 000473069700009OAI: oai:DiVA.org:su-171203DiVA, id: diva2:1339379
Tillgänglig från: 2019-07-29 Skapad: 2019-07-29 Senast uppdaterad: 2022-02-26Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Övriga länkar

Förlagets fulltext

Person

Pramanik, SatyajitWettlaufer, John S.

Sök vidare i DiVA

Av författaren/redaktören
Pramanik, SatyajitWettlaufer, John S.
Av organisationen
Nordiska institutet för teoretisk fysik (Nordita)
I samma tidskrift
SIAM Journal on Applied Mathematics
Matematik

Sök vidare utanför DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetricpoäng

doi
urn-nbn
Totalt: 11 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf