Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308193089> ?p ?o ?g. }
- W4308193089 endingPage "207" @default.
- W4308193089 startingPage "194" @default.
- W4308193089 abstract "We investigate the effect of Navier type slip for the steady, laminar flow of a highly viscous and incompressible Newtonian fluid in a microfluidic channel with variable geometry for one of the two walls of the channel. A formal perturbation expansion in terms of the square of the aspect ratio of the channel is used and an extended, high-order, lubrication theory is applied. The analysis generalizes the works of Tavakol et al. (2017) and Housiadas and Tsangaris (2022) both of which were studied under the classic no-slip and no-penetration conditions along the solid walls. Analytical expressions in series form for the pressure drop, required to maintain the constant flowrate through the channel, are derived, where the formulas are provided in terms of the function that describes the shape of the wall and the dimensionless slip coefficient that appears in the slip law. Furthermore, the formulas are processed with analytical non-linear techniques that increase the accuracy and extend the domain of convergence of series. It is shown that the slip at the walls decreases substantially the required pressure drop even for small values of the dimensionless slip coefficient, revealing the sensitivity of the results on the boundary conditions. It is also revealed that significant part of the kinetic energy of the flow is transferred along the walls due to slip decreasing the viscous dissipation energy and facilitating the fluid transport through the channel. Finally, it is demonstrated that the higher-order terms in the asymptotic solution provide important information for the field variables and the major quantities of interest (pressure drop, kinetic energy transferred along the walls, and viscous dissipation) for this type of internal and confined flows." @default.
- W4308193089 created "2022-11-09" @default.
- W4308193089 creator A5043316376 @default.
- W4308193089 creator A5053281482 @default.
- W4308193089 date "2023-03-01" @default.
- W4308193089 modified "2023-09-24" @default.
- W4308193089 title "Channel flow with variable geometry and Navier slip at the walls using high-order lubrication theory" @default.
- W4308193089 cites W1444429504 @default.
- W4308193089 cites W1968202271 @default.
- W4308193089 cites W1968749353 @default.
- W4308193089 cites W1970502040 @default.
- W4308193089 cites W1971723555 @default.
- W4308193089 cites W1972395446 @default.
- W4308193089 cites W1976439302 @default.
- W4308193089 cites W1977835538 @default.
- W4308193089 cites W1979215196 @default.
- W4308193089 cites W1983715981 @default.
- W4308193089 cites W1984773990 @default.
- W4308193089 cites W1992379723 @default.
- W4308193089 cites W2001340150 @default.
- W4308193089 cites W2008071237 @default.
- W4308193089 cites W2015896591 @default.
- W4308193089 cites W2017180616 @default.
- W4308193089 cites W2026213168 @default.
- W4308193089 cites W2027388599 @default.
- W4308193089 cites W2047800515 @default.
- W4308193089 cites W2051931057 @default.
- W4308193089 cites W2053875142 @default.
- W4308193089 cites W2055587955 @default.
- W4308193089 cites W2057766296 @default.
- W4308193089 cites W2067202824 @default.
- W4308193089 cites W2070137752 @default.
- W4308193089 cites W2074586723 @default.
- W4308193089 cites W2082838627 @default.
- W4308193089 cites W2095217690 @default.
- W4308193089 cites W2098240514 @default.
- W4308193089 cites W2114955730 @default.
- W4308193089 cites W2117641227 @default.
- W4308193089 cites W2123211570 @default.
- W4308193089 cites W2139932996 @default.
- W4308193089 cites W2144338700 @default.
- W4308193089 cites W2161148912 @default.
- W4308193089 cites W2171124691 @default.
- W4308193089 cites W2253707764 @default.
- W4308193089 cites W2324838733 @default.
- W4308193089 cites W2417585449 @default.
- W4308193089 cites W2496761463 @default.
- W4308193089 cites W2593360503 @default.
- W4308193089 cites W2614006786 @default.
- W4308193089 cites W2616978080 @default.
- W4308193089 cites W2746009420 @default.
- W4308193089 cites W2750283021 @default.
- W4308193089 cites W2936701105 @default.
- W4308193089 cites W2980777796 @default.
- W4308193089 cites W2990757100 @default.
- W4308193089 cites W3098601466 @default.
- W4308193089 cites W3104874717 @default.
- W4308193089 cites W3134743620 @default.
- W4308193089 cites W3195693851 @default.
- W4308193089 cites W4220923167 @default.
- W4308193089 cites W4280504424 @default.
- W4308193089 cites W4294234034 @default.
- W4308193089 doi "https://doi.org/10.1016/j.euromechflu.2022.10.010" @default.
- W4308193089 hasPublicationYear "2023" @default.
- W4308193089 type Work @default.
- W4308193089 citedByCount "4" @default.
- W4308193089 countsByYear W43081930892023 @default.
- W4308193089 crossrefType "journal-article" @default.
- W4308193089 hasAuthorship W4308193089A5043316376 @default.
- W4308193089 hasAuthorship W4308193089A5053281482 @default.
- W4308193089 hasConcept C114088122 @default.
- W4308193089 hasConcept C121332964 @default.
- W4308193089 hasConcept C134306372 @default.
- W4308193089 hasConcept C135402231 @default.
- W4308193089 hasConcept C139166363 @default.
- W4308193089 hasConcept C153005164 @default.
- W4308193089 hasConcept C162802515 @default.
- W4308193089 hasConcept C180925781 @default.
- W4308193089 hasConcept C182310444 @default.
- W4308193089 hasConcept C182748727 @default.
- W4308193089 hasConcept C184608416 @default.
- W4308193089 hasConcept C187999972 @default.
- W4308193089 hasConcept C195268267 @default.
- W4308193089 hasConcept C196558001 @default.
- W4308193089 hasConcept C21141959 @default.
- W4308193089 hasConcept C24872484 @default.
- W4308193089 hasConcept C2524010 @default.
- W4308193089 hasConcept C2777045574 @default.
- W4308193089 hasConcept C294558 @default.
- W4308193089 hasConcept C33923547 @default.
- W4308193089 hasConcept C38349280 @default.
- W4308193089 hasConcept C57879066 @default.
- W4308193089 hasConcept C76563973 @default.
- W4308193089 hasConcept C84655787 @default.
- W4308193089 hasConcept C97355855 @default.
- W4308193089 hasConceptScore W4308193089C114088122 @default.
- W4308193089 hasConceptScore W4308193089C121332964 @default.
- W4308193089 hasConceptScore W4308193089C134306372 @default.