Matches in SemOpenAlex for { <https://semopenalex.org/work/W2095146241> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2095146241 abstract "Abstract Exact one-dimensional solutions to the equations of fluid dynamics are derived in the $mathit{Pr}rightarrow infty $ and $mathit{Pr}rightarrow 0$ limits (where $mathit{Pr}$ is the Prandtl number). The solutions are analogous to the $mathit{Pr}= 3/ 4$ solution discovered by Becker and analytically capture the profile of shock fronts in ideal gases. The large- $mathit{Pr}$ solution is very similar to Becker’s solution, differing only by a scale factor. The small- $mathit{Pr}$ solution is qualitatively different, with an embedded isothermal shock occurring above a critical Mach number. Solutions are derived for constant viscosity and conductivity as well as for the case in which conduction is provided by a radiation field. For a completely general density- and temperature-dependent viscosity and conductivity, the system of equations in all three limits can be reduced to quadrature. The maximum error in the analytical solutions when compared to a numerical integration of the finite- $mathit{Pr}$ equations is $mathit{O}({mathit{Pr}}^{- 1} )$ as $mathit{Pr}rightarrow infty $ and $mathit{O}(mathit{Pr})$ as $mathit{Pr}rightarrow 0$ ." @default.
- W2095146241 created "2016-06-24" @default.
- W2095146241 creator A5049976131 @default.
- W2095146241 date "2013-06-14" @default.
- W2095146241 modified "2023-10-16" @default.
- W2095146241 title "Analytical shock solutions at large and small Prandtl number" @default.
- W2095146241 cites W1600307743 @default.
- W2095146241 cites W1980653915 @default.
- W2095146241 cites W1992530824 @default.
- W2095146241 cites W2002215842 @default.
- W2095146241 cites W2006450963 @default.
- W2095146241 cites W2008913596 @default.
- W2095146241 cites W2019325309 @default.
- W2095146241 cites W2029633549 @default.
- W2095146241 cites W2037345895 @default.
- W2095146241 cites W2078348940 @default.
- W2095146241 cites W2134803322 @default.
- W2095146241 cites W2137724973 @default.
- W2095146241 cites W4232105198 @default.
- W2095146241 doi "https://doi.org/10.1017/jfm.2013.262" @default.
- W2095146241 hasPublicationYear "2013" @default.
- W2095146241 type Work @default.
- W2095146241 sameAs 2095146241 @default.
- W2095146241 citedByCount "21" @default.
- W2095146241 countsByYear W20951462412014 @default.
- W2095146241 countsByYear W20951462412016 @default.
- W2095146241 countsByYear W20951462412018 @default.
- W2095146241 countsByYear W20951462412019 @default.
- W2095146241 countsByYear W20951462412020 @default.
- W2095146241 countsByYear W20951462412021 @default.
- W2095146241 countsByYear W20951462412022 @default.
- W2095146241 countsByYear W20951462412023 @default.
- W2095146241 crossrefType "journal-article" @default.
- W2095146241 hasAuthorship W2095146241A5049976131 @default.
- W2095146241 hasBestOaLocation W20951462412 @default.
- W2095146241 hasConcept C121332964 @default.
- W2095146241 hasConcept C127172972 @default.
- W2095146241 hasConcept C131540310 @default.
- W2095146241 hasConcept C133347239 @default.
- W2095146241 hasConcept C172100665 @default.
- W2095146241 hasConcept C37914503 @default.
- W2095146241 hasConcept C50517652 @default.
- W2095146241 hasConcept C520416788 @default.
- W2095146241 hasConcept C62520636 @default.
- W2095146241 hasConcept C72687893 @default.
- W2095146241 hasConcept C97355855 @default.
- W2095146241 hasConceptScore W2095146241C121332964 @default.
- W2095146241 hasConceptScore W2095146241C127172972 @default.
- W2095146241 hasConceptScore W2095146241C131540310 @default.
- W2095146241 hasConceptScore W2095146241C133347239 @default.
- W2095146241 hasConceptScore W2095146241C172100665 @default.
- W2095146241 hasConceptScore W2095146241C37914503 @default.
- W2095146241 hasConceptScore W2095146241C50517652 @default.
- W2095146241 hasConceptScore W2095146241C520416788 @default.
- W2095146241 hasConceptScore W2095146241C62520636 @default.
- W2095146241 hasConceptScore W2095146241C72687893 @default.
- W2095146241 hasConceptScore W2095146241C97355855 @default.
- W2095146241 hasLocation W20951462411 @default.
- W2095146241 hasLocation W20951462412 @default.
- W2095146241 hasLocation W20951462413 @default.
- W2095146241 hasLocation W20951462414 @default.
- W2095146241 hasLocation W20951462415 @default.
- W2095146241 hasOpenAccess W2095146241 @default.
- W2095146241 hasPrimaryLocation W20951462411 @default.
- W2095146241 hasRelatedWork W1985260342 @default.
- W2095146241 hasRelatedWork W2002361162 @default.
- W2095146241 hasRelatedWork W2017161748 @default.
- W2095146241 hasRelatedWork W2041826578 @default.
- W2095146241 hasRelatedWork W2052578185 @default.
- W2095146241 hasRelatedWork W2070814158 @default.
- W2095146241 hasRelatedWork W2123900824 @default.
- W2095146241 hasRelatedWork W2160602505 @default.
- W2095146241 hasRelatedWork W2304734261 @default.
- W2095146241 hasRelatedWork W3103234735 @default.
- W2095146241 hasVolume "726" @default.
- W2095146241 isParatext "false" @default.
- W2095146241 isRetracted "false" @default.
- W2095146241 magId "2095146241" @default.
- W2095146241 workType "article" @default.