Matches in SemOpenAlex for { <https://semopenalex.org/work/W2170880545> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2170880545 endingPage "104" @default.
- W2170880545 startingPage "77" @default.
- W2170880545 abstract "A new method is introduced for calculating time-dependent, non-Newtonian flows of fluids described by integral constitutive equations. The starting point for the method is the integral form of the solution to the equation sof motion, valid in the limit of low Reynolds number. Because of the non-Newtonian nature of the fluid, this solution includes an integral over the domain of the flow, which is not present in boundary integral methods. This integral over the fluid volume (in three dimensions) or area (in two dimensions) is converted to a Lagrangian reference frame, and discretized for numerical evaluation. Because points in the integrand move with the fluid velocity, values of the non-Newtonian portion of the stress can be found by integrating the deformation at those points in conjunction with a suitable integral constitutive equation. The contribution to the total velocity field of the non-Newtonian stress at each fluid element is that of a point dipole, and the method bears many similarities to the point-vortex method for calculating inviscid flows. Like the point-vortex method, it is necessary to introduce cutoff functions that remove the singular nature of the dipole–dipole interactions. In addition, to render the method computationally feasible, the interactions between the dipoles must be calculated by the fast-multipole method or some comparable approach. Methods for calculating cutoff functions and implementing the fast multipole method are discussed, and simulation results are presented for one- and two-phase time-dependent flows of viscoelastic fluids between eccentric and concentric rotating cylinders." @default.
- W2170880545 created "2016-06-24" @default.
- W2170880545 creator A5051817721 @default.
- W2170880545 date "2003-04-25" @default.
- W2170880545 modified "2023-09-25" @default.
- W2170880545 title "A singularity method for calculating time-dependent viscoelastic flows with integral constitutive equations" @default.
- W2170880545 doi "https://doi.org/10.1017/s0022112002003592" @default.
- W2170880545 hasPublicationYear "2003" @default.
- W2170880545 type Work @default.
- W2170880545 sameAs 2170880545 @default.
- W2170880545 citedByCount "10" @default.
- W2170880545 countsByYear W21708805452013 @default.
- W2170880545 countsByYear W21708805452020 @default.
- W2170880545 crossrefType "journal-article" @default.
- W2170880545 hasAuthorship W2170880545A5051817721 @default.
- W2170880545 hasConcept C121332964 @default.
- W2170880545 hasConcept C134306372 @default.
- W2170880545 hasConcept C135628077 @default.
- W2170880545 hasConcept C140820882 @default.
- W2170880545 hasConcept C202973686 @default.
- W2170880545 hasConcept C27016315 @default.
- W2170880545 hasConcept C294558 @default.
- W2170880545 hasConcept C33923547 @default.
- W2170880545 hasConcept C52765159 @default.
- W2170880545 hasConcept C57879066 @default.
- W2170880545 hasConcept C62520636 @default.
- W2170880545 hasConcept C63632240 @default.
- W2170880545 hasConcept C73000952 @default.
- W2170880545 hasConcept C74650414 @default.
- W2170880545 hasConcept C86252789 @default.
- W2170880545 hasConcept C97355855 @default.
- W2170880545 hasConceptScore W2170880545C121332964 @default.
- W2170880545 hasConceptScore W2170880545C134306372 @default.
- W2170880545 hasConceptScore W2170880545C135628077 @default.
- W2170880545 hasConceptScore W2170880545C140820882 @default.
- W2170880545 hasConceptScore W2170880545C202973686 @default.
- W2170880545 hasConceptScore W2170880545C27016315 @default.
- W2170880545 hasConceptScore W2170880545C294558 @default.
- W2170880545 hasConceptScore W2170880545C33923547 @default.
- W2170880545 hasConceptScore W2170880545C52765159 @default.
- W2170880545 hasConceptScore W2170880545C57879066 @default.
- W2170880545 hasConceptScore W2170880545C62520636 @default.
- W2170880545 hasConceptScore W2170880545C63632240 @default.
- W2170880545 hasConceptScore W2170880545C73000952 @default.
- W2170880545 hasConceptScore W2170880545C74650414 @default.
- W2170880545 hasConceptScore W2170880545C86252789 @default.
- W2170880545 hasConceptScore W2170880545C97355855 @default.
- W2170880545 hasLocation W21708805451 @default.
- W2170880545 hasOpenAccess W2170880545 @default.
- W2170880545 hasPrimaryLocation W21708805451 @default.
- W2170880545 hasRelatedWork W1640252531 @default.
- W2170880545 hasRelatedWork W1775519418 @default.
- W2170880545 hasRelatedWork W1973577664 @default.
- W2170880545 hasRelatedWork W1987269230 @default.
- W2170880545 hasRelatedWork W1988088049 @default.
- W2170880545 hasRelatedWork W1999956503 @default.
- W2170880545 hasRelatedWork W2065320493 @default.
- W2170880545 hasRelatedWork W2065410197 @default.
- W2170880545 hasRelatedWork W2170880545 @default.
- W2170880545 hasRelatedWork W2592293456 @default.
- W2170880545 hasVolume "481" @default.
- W2170880545 isParatext "false" @default.
- W2170880545 isRetracted "false" @default.
- W2170880545 magId "2170880545" @default.
- W2170880545 workType "article" @default.