Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308888977> ?p ?o ?g. }
- W4308888977 abstract "The advection–diffusion of a small surface element of scalar in three dimensions (or of a small line element in two dimensions) is solved analytically thanks to the Ranz transform (Ranz, AIChE J. , vol. 25, issue 1, 1979, pp. 41–47). As the quantum or elementary brick of any complex mixture, we call this element a diffuselet. Its evolution is computed numerically from the integration of the velocity gradient along the trajectory, as classically done for the Lyapunov exponents. The concentration profile across the diffuselet is obtained from the product of its initial orientation with a dimensionless tensor. Averaging over all initial orientations yields simple formulae for the mean scalar variance and the scalar probability distribution function (p.d.f.). This technique is then applied to two-dimensional and three-dimensional sine flows, in excellent agreement with direct numerical simulations. For these simple flows, the temporal integration is obtained analytically leading to simple integrals for the scalar variance and p.d.f. Statistics of stretching rates are calculated as well. The Lyapunov exponent is close to the value for short-time correlated flows (Kraichnan, J. Fluid Mech. , vol. 64, issue 4, 1974, pp. 737–762) in the case of a small displacement during each step; it is close to the value for a simple shear in the case of a large displacement. The p.d.f. of stretching factors are log normal with a ratio between the mean and the variance equal to half the dimension of space for small displacements (in agreement with Kraichnan, J. Fluid Mech. , vol. 64, issue 4, 1974, pp. 737–762), but increases strongly for large displacements." @default.
- W4308888977 created "2022-11-18" @default.
- W4308888977 creator A5031563185 @default.
- W4308888977 creator A5085225310 @default.
- W4308888977 date "2022-11-10" @default.
- W4308888977 modified "2023-10-12" @default.
- W4308888977 title "The diffuselet concept for scalar mixing" @default.
- W4308888977 cites W1529018650 @default.
- W4308888977 cites W1609838751 @default.
- W4308888977 cites W1982376646 @default.
- W4308888977 cites W1989561469 @default.
- W4308888977 cites W2000675878 @default.
- W4308888977 cites W2006982596 @default.
- W4308888977 cites W2009555420 @default.
- W4308888977 cites W2010402861 @default.
- W4308888977 cites W2011753472 @default.
- W4308888977 cites W2015475507 @default.
- W4308888977 cites W2019244040 @default.
- W4308888977 cites W2019745662 @default.
- W4308888977 cites W2024431579 @default.
- W4308888977 cites W2026101587 @default.
- W4308888977 cites W2030336285 @default.
- W4308888977 cites W2042868475 @default.
- W4308888977 cites W2047710483 @default.
- W4308888977 cites W2050115180 @default.
- W4308888977 cites W2053019467 @default.
- W4308888977 cites W2058766776 @default.
- W4308888977 cites W2064304356 @default.
- W4308888977 cites W2070478826 @default.
- W4308888977 cites W2070625573 @default.
- W4308888977 cites W2072792045 @default.
- W4308888977 cites W2076327952 @default.
- W4308888977 cites W2077036659 @default.
- W4308888977 cites W2078532006 @default.
- W4308888977 cites W2093049767 @default.
- W4308888977 cites W2101312045 @default.
- W4308888977 cites W2102797044 @default.
- W4308888977 cites W2118411610 @default.
- W4308888977 cites W2118637222 @default.
- W4308888977 cites W2122418912 @default.
- W4308888977 cites W2130911611 @default.
- W4308888977 cites W2133053351 @default.
- W4308888977 cites W2143610996 @default.
- W4308888977 cites W2156105398 @default.
- W4308888977 cites W2169632851 @default.
- W4308888977 cites W2170441055 @default.
- W4308888977 cites W2172489306 @default.
- W4308888977 cites W2335624958 @default.
- W4308888977 cites W2397441299 @default.
- W4308888977 cites W2569026565 @default.
- W4308888977 cites W2765478550 @default.
- W4308888977 cites W2779008398 @default.
- W4308888977 cites W2890509210 @default.
- W4308888977 cites W2896054285 @default.
- W4308888977 cites W2942938143 @default.
- W4308888977 cites W3156526843 @default.
- W4308888977 cites W3170052586 @default.
- W4308888977 cites W4237624247 @default.
- W4308888977 cites W6253552 @default.
- W4308888977 doi "https://doi.org/10.1017/jfm.2022.771" @default.
- W4308888977 hasPublicationYear "2022" @default.
- W4308888977 type Work @default.
- W4308888977 citedByCount "2" @default.
- W4308888977 countsByYear W43088889772023 @default.
- W4308888977 crossrefType "journal-article" @default.
- W4308888977 hasAuthorship W4308888977A5031563185 @default.
- W4308888977 hasAuthorship W4308888977A5085225310 @default.
- W4308888977 hasBestOaLocation W43088889771 @default.
- W4308888977 hasConcept C121332964 @default.
- W4308888977 hasConcept C134306372 @default.
- W4308888977 hasConcept C158622935 @default.
- W4308888977 hasConcept C191544260 @default.
- W4308888977 hasConcept C24872484 @default.
- W4308888977 hasConcept C2524010 @default.
- W4308888977 hasConcept C33923547 @default.
- W4308888977 hasConcept C57691317 @default.
- W4308888977 hasConcept C57879066 @default.
- W4308888977 hasConcept C62520636 @default.
- W4308888977 hasConcept C74650414 @default.
- W4308888977 hasConceptScore W4308888977C121332964 @default.
- W4308888977 hasConceptScore W4308888977C134306372 @default.
- W4308888977 hasConceptScore W4308888977C158622935 @default.
- W4308888977 hasConceptScore W4308888977C191544260 @default.
- W4308888977 hasConceptScore W4308888977C24872484 @default.
- W4308888977 hasConceptScore W4308888977C2524010 @default.
- W4308888977 hasConceptScore W4308888977C33923547 @default.
- W4308888977 hasConceptScore W4308888977C57691317 @default.
- W4308888977 hasConceptScore W4308888977C57879066 @default.
- W4308888977 hasConceptScore W4308888977C62520636 @default.
- W4308888977 hasConceptScore W4308888977C74650414 @default.
- W4308888977 hasFunder F4320338337 @default.
- W4308888977 hasLocation W43088889771 @default.
- W4308888977 hasLocation W43088889772 @default.
- W4308888977 hasLocation W43088889773 @default.
- W4308888977 hasOpenAccess W4308888977 @default.
- W4308888977 hasPrimaryLocation W43088889771 @default.
- W4308888977 hasRelatedWork W125502673 @default.
- W4308888977 hasRelatedWork W1979229270 @default.
- W4308888977 hasRelatedWork W2019045751 @default.
- W4308888977 hasRelatedWork W2027784897 @default.