Matches in SemOpenAlex for { <https://semopenalex.org/work/W2011131292> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2011131292 endingPage "1071" @default.
- W2011131292 startingPage "1055" @default.
- W2011131292 abstract "Steady, fully developed flows of second order fluids in curved pipes of circular cross-section have previously been studied using regular perturbation methods. 2,3,12,20 These perturbation solutions are applicable for pipes with small curvature ratio: The cross sectional radius of the pipe divided by the radius of curvature of the pipe centerline. It was shown by Jitchote and Robertson 12 that perturbation equations could be ill-posed when the second normal stress coefficient is nonzero. Motivated by the singular nature of the perturbation equations, here, we study the full governing equations without introducing assumptions inherent in perturbation methods. In particular, we examine the existence and uniqueness of solutions to the full governing equations for second order fluids. We show rigorously that a solution to the full problem exists and is locally unique for small non-dimensional pressure drop, in agreement with earlier results obtained using a formal expansion in the curvature ratio. 12 The results obtained here are valid for arbitrarily shaped cross-section (sufficiently smooth) and for all curvature ratios. An operator splitting method has been employed which may be useful for numerical studies of steady and unsteady flows of second order fluids in curved pipes." @default.
- W2011131292 created "2016-06-24" @default.
- W2011131292 creator A5078745902 @default.
- W2011131292 creator A5085188003 @default.
- W2011131292 date "2001-08-01" @default.
- W2011131292 modified "2023-09-23" @default.
- W2011131292 title "EXISTENCE AND UNIQUENESS OF STEADY, FULLY DEVELOPED FLOWS OF SECOND ORDER FLUIDS IN CURVED PIPES" @default.
- W2011131292 cites W1992315135 @default.
- W2011131292 cites W2007478845 @default.
- W2011131292 cites W2012322979 @default.
- W2011131292 cites W2013071087 @default.
- W2011131292 cites W2024557313 @default.
- W2011131292 cites W2039051799 @default.
- W2011131292 cites W2047347400 @default.
- W2011131292 cites W2082484283 @default.
- W2011131292 cites W2090754000 @default.
- W2011131292 cites W2120243327 @default.
- W2011131292 cites W2126539260 @default.
- W2011131292 cites W4244087441 @default.
- W2011131292 doi "https://doi.org/10.1142/s0218202501001239" @default.
- W2011131292 hasPublicationYear "2001" @default.
- W2011131292 type Work @default.
- W2011131292 sameAs 2011131292 @default.
- W2011131292 citedByCount "3" @default.
- W2011131292 countsByYear W20111312922015 @default.
- W2011131292 crossrefType "journal-article" @default.
- W2011131292 hasAuthorship W2011131292A5078745902 @default.
- W2011131292 hasAuthorship W2011131292A5085188003 @default.
- W2011131292 hasConcept C121332964 @default.
- W2011131292 hasConcept C134306372 @default.
- W2011131292 hasConcept C165160513 @default.
- W2011131292 hasConcept C177918212 @default.
- W2011131292 hasConcept C195065555 @default.
- W2011131292 hasConcept C2524010 @default.
- W2011131292 hasConcept C2777021972 @default.
- W2011131292 hasConcept C33923547 @default.
- W2011131292 hasConcept C57879066 @default.
- W2011131292 hasConcept C62520636 @default.
- W2011131292 hasConceptScore W2011131292C121332964 @default.
- W2011131292 hasConceptScore W2011131292C134306372 @default.
- W2011131292 hasConceptScore W2011131292C165160513 @default.
- W2011131292 hasConceptScore W2011131292C177918212 @default.
- W2011131292 hasConceptScore W2011131292C195065555 @default.
- W2011131292 hasConceptScore W2011131292C2524010 @default.
- W2011131292 hasConceptScore W2011131292C2777021972 @default.
- W2011131292 hasConceptScore W2011131292C33923547 @default.
- W2011131292 hasConceptScore W2011131292C57879066 @default.
- W2011131292 hasConceptScore W2011131292C62520636 @default.
- W2011131292 hasIssue "06" @default.
- W2011131292 hasLocation W20111312921 @default.
- W2011131292 hasOpenAccess W2011131292 @default.
- W2011131292 hasPrimaryLocation W20111312921 @default.
- W2011131292 hasRelatedWork W1984199118 @default.
- W2011131292 hasRelatedWork W2019676381 @default.
- W2011131292 hasRelatedWork W2021965032 @default.
- W2011131292 hasRelatedWork W2045484727 @default.
- W2011131292 hasRelatedWork W2081802535 @default.
- W2011131292 hasRelatedWork W2359923410 @default.
- W2011131292 hasRelatedWork W2369967301 @default.
- W2011131292 hasRelatedWork W3144365877 @default.
- W2011131292 hasRelatedWork W41451766 @default.
- W2011131292 hasRelatedWork W54644683 @default.
- W2011131292 hasVolume "11" @default.
- W2011131292 isParatext "false" @default.
- W2011131292 isRetracted "false" @default.
- W2011131292 magId "2011131292" @default.
- W2011131292 workType "article" @default.