Matches in SemOpenAlex for { <https://semopenalex.org/work/W2017596211> ?p ?o ?g. }
- W2017596211 endingPage "462" @default.
- W2017596211 startingPage "441" @default.
- W2017596211 abstract "This paper is a review of work on thin fluid films where surface tension is a driving mechanism. Its aim is to highlight the substantial amount of literature dealing with relevant physical models and also analytic work on the resultant equations. In general the introduction of surface tension into standard lubrication theory leads to a fourth-order nonlinear parabolic equation $$ pad{h}{t}+pad{}{x}left(C frac{h^3}{3}frac{partial^3 h}{partial x^3} +f(h,h_x,h_{xx})right) = 0 ,label{abeq1} $$ where $h=h(x,t)$ is the fluid film height. For steady situations this equation may be integrated once and a third-order ordinary differential equation is obtained. Appropriate forms of this equation have been used to model fluid flows in physical situations such as coating, draining of foams, and the movement of contact lenses. In the introduction a form of the above equation is derived for flow driven by surface tension, surface tension gradients, gravity, and long range molecular forces. Modifications to the equation due to slip, the effect of two free surfaces, two phase fluids, and higher dimensional forms are also discussed. The second section of this paper describes physical situations where surface tension driven lubrication models apply and the governing equations are given. The third section reviews analytical work on the model equations as well as the generalized lubrication equation $$ pad{h}{t}+pad{}{x}left(h^n h_{xxx}right) = 0. $$ In particular the discussion focusses on asymptotic results, travelling waves, stability, and similarity solutions. Numerical work is also discussed, while for analytical results the reader is directed to existing literature." @default.
- W2017596211 created "2016-06-24" @default.
- W2017596211 creator A5002406539 @default.
- W2017596211 date "1998-01-01" @default.
- W2017596211 modified "2023-10-12" @default.
- W2017596211 title "Thin Films with High Surface Tension" @default.
- W2017596211 cites W1554795745 @default.
- W2017596211 cites W1662299651 @default.
- W2017596211 cites W1976568113 @default.
- W2017596211 cites W1978377107 @default.
- W2017596211 cites W1979397255 @default.
- W2017596211 cites W1982221413 @default.
- W2017596211 cites W1985658001 @default.
- W2017596211 cites W1989324532 @default.
- W2017596211 cites W1990136420 @default.
- W2017596211 cites W1994212100 @default.
- W2017596211 cites W1995161451 @default.
- W2017596211 cites W1996883801 @default.
- W2017596211 cites W1997753726 @default.
- W2017596211 cites W2005478079 @default.
- W2017596211 cites W2007348172 @default.
- W2017596211 cites W2008600717 @default.
- W2017596211 cites W2015562476 @default.
- W2017596211 cites W2018371111 @default.
- W2017596211 cites W2027502822 @default.
- W2017596211 cites W2027518817 @default.
- W2017596211 cites W2028558836 @default.
- W2017596211 cites W2037017059 @default.
- W2017596211 cites W2043787267 @default.
- W2017596211 cites W2045294107 @default.
- W2017596211 cites W2048285539 @default.
- W2017596211 cites W2050645979 @default.
- W2017596211 cites W2052625099 @default.
- W2017596211 cites W2053539072 @default.
- W2017596211 cites W2054142539 @default.
- W2017596211 cites W2058436955 @default.
- W2017596211 cites W2060382058 @default.
- W2017596211 cites W2061204365 @default.
- W2017596211 cites W2067678545 @default.
- W2017596211 cites W2073114034 @default.
- W2017596211 cites W2074888733 @default.
- W2017596211 cites W2075729122 @default.
- W2017596211 cites W2078279585 @default.
- W2017596211 cites W2079096391 @default.
- W2017596211 cites W2080251323 @default.
- W2017596211 cites W2087522722 @default.
- W2017596211 cites W2100986816 @default.
- W2017596211 cites W2102204567 @default.
- W2017596211 cites W2107134869 @default.
- W2017596211 cites W2107584451 @default.
- W2017596211 cites W2119283405 @default.
- W2017596211 cites W2119814580 @default.
- W2017596211 cites W2126515542 @default.
- W2017596211 cites W2126970728 @default.
- W2017596211 cites W2156028323 @default.
- W2017596211 cites W2157998078 @default.
- W2017596211 cites W2163114495 @default.
- W2017596211 cites W2169312389 @default.
- W2017596211 cites W40736751 @default.
- W2017596211 cites W4233126315 @default.
- W2017596211 cites W4235891758 @default.
- W2017596211 cites W4240906561 @default.
- W2017596211 cites W4248236599 @default.
- W2017596211 cites W4249649004 @default.
- W2017596211 doi "https://doi.org/10.1137/s003614459529284x" @default.
- W2017596211 hasPublicationYear "1998" @default.
- W2017596211 type Work @default.
- W2017596211 sameAs 2017596211 @default.
- W2017596211 citedByCount "347" @default.
- W2017596211 countsByYear W20175962112012 @default.
- W2017596211 countsByYear W20175962112013 @default.
- W2017596211 countsByYear W20175962112014 @default.
- W2017596211 countsByYear W20175962112015 @default.
- W2017596211 countsByYear W20175962112016 @default.
- W2017596211 countsByYear W20175962112017 @default.
- W2017596211 countsByYear W20175962112018 @default.
- W2017596211 countsByYear W20175962112019 @default.
- W2017596211 countsByYear W20175962112020 @default.
- W2017596211 countsByYear W20175962112021 @default.
- W2017596211 countsByYear W20175962112022 @default.
- W2017596211 countsByYear W20175962112023 @default.
- W2017596211 crossrefType "journal-article" @default.
- W2017596211 hasAuthorship W2017596211A5002406539 @default.
- W2017596211 hasBestOaLocation W20175962112 @default.
- W2017596211 hasConcept C121332964 @default.
- W2017596211 hasConcept C134306372 @default.
- W2017596211 hasConcept C162802515 @default.
- W2017596211 hasConcept C180016635 @default.
- W2017596211 hasConcept C184608416 @default.
- W2017596211 hasConcept C186068551 @default.
- W2017596211 hasConcept C33923547 @default.
- W2017596211 hasConcept C51544822 @default.
- W2017596211 hasConcept C57879066 @default.
- W2017596211 hasConcept C78045399 @default.
- W2017596211 hasConcept C8892853 @default.
- W2017596211 hasConcept C93779851 @default.
- W2017596211 hasConcept C97355855 @default.
- W2017596211 hasConceptScore W2017596211C121332964 @default.