Matches in SemOpenAlex for { <https://semopenalex.org/work/W2896762735> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2896762735 abstract "In this paper we consider two different Stefan problems for a semi-infinite material for the non classical heat equation with a source which depends on the heat flux at the fixed face x = 0. One of them (with constant temperature on x = 0) was studied in [4] where it was found a unique exact solution of similarity type and the other (with a convective boundary condition at the fixed face) is presented in this work. Due to the complexity of the exact solution it is of interest to obtain some kind of approximate solution. For the above reason, the exact solution of each problem is compared with approximate solutions obtained by applying the heat balance integral method and the refined heat balance integral method, assuming a quadratic temperature profile in space. In all cases, a dimensionless analysis is carried out by using the parameters: Stefan number (Ste) and the generalized Biot number (Bi). In addition it is studied the case when Bi goes to infinity, recovering the approximate solutions when a Dirichlet condition is imposed at the fixed face. Some numerical simulations are provided in order to verify the accuracy of the approximate methods" @default.
- W2896762735 created "2018-10-26" @default.
- W2896762735 creator A5028383453 @default.
- W2896762735 creator A5054437435 @default.
- W2896762735 creator A5055635693 @default.
- W2896762735 creator A5067406965 @default.
- W2896762735 date "2018-10-12" @default.
- W2896762735 modified "2023-09-27" @default.
- W2896762735 title "Integral balance methods applied to a non-classical Stefan problem" @default.
- W2896762735 hasPublicationYear "2018" @default.
- W2896762735 type Work @default.
- W2896762735 sameAs 2896762735 @default.
- W2896762735 citedByCount "0" @default.
- W2896762735 crossrefType "posted-content" @default.
- W2896762735 hasAuthorship W2896762735A5028383453 @default.
- W2896762735 hasAuthorship W2896762735A5054437435 @default.
- W2896762735 hasAuthorship W2896762735A5055635693 @default.
- W2896762735 hasAuthorship W2896762735A5067406965 @default.
- W2896762735 hasConcept C111603439 @default.
- W2896762735 hasConcept C115341296 @default.
- W2896762735 hasConcept C121332964 @default.
- W2896762735 hasConcept C129844170 @default.
- W2896762735 hasConcept C134306372 @default.
- W2896762735 hasConcept C18762648 @default.
- W2896762735 hasConcept C195956108 @default.
- W2896762735 hasConcept C24872484 @default.
- W2896762735 hasConcept C2524010 @default.
- W2896762735 hasConcept C2777282005 @default.
- W2896762735 hasConcept C2778021227 @default.
- W2896762735 hasConcept C28826006 @default.
- W2896762735 hasConcept C33923547 @default.
- W2896762735 hasConcept C520416788 @default.
- W2896762735 hasConcept C62354387 @default.
- W2896762735 hasConcept C97355855 @default.
- W2896762735 hasConceptScore W2896762735C111603439 @default.
- W2896762735 hasConceptScore W2896762735C115341296 @default.
- W2896762735 hasConceptScore W2896762735C121332964 @default.
- W2896762735 hasConceptScore W2896762735C129844170 @default.
- W2896762735 hasConceptScore W2896762735C134306372 @default.
- W2896762735 hasConceptScore W2896762735C18762648 @default.
- W2896762735 hasConceptScore W2896762735C195956108 @default.
- W2896762735 hasConceptScore W2896762735C24872484 @default.
- W2896762735 hasConceptScore W2896762735C2524010 @default.
- W2896762735 hasConceptScore W2896762735C2777282005 @default.
- W2896762735 hasConceptScore W2896762735C2778021227 @default.
- W2896762735 hasConceptScore W2896762735C28826006 @default.
- W2896762735 hasConceptScore W2896762735C33923547 @default.
- W2896762735 hasConceptScore W2896762735C520416788 @default.
- W2896762735 hasConceptScore W2896762735C62354387 @default.
- W2896762735 hasConceptScore W2896762735C97355855 @default.
- W2896762735 hasLocation W28967627351 @default.
- W2896762735 hasOpenAccess W2896762735 @default.
- W2896762735 hasPrimaryLocation W28967627351 @default.
- W2896762735 hasRelatedWork W2004839620 @default.
- W2896762735 hasRelatedWork W2020280307 @default.
- W2896762735 hasRelatedWork W2020571742 @default.
- W2896762735 hasRelatedWork W2050302389 @default.
- W2896762735 hasRelatedWork W2055638823 @default.
- W2896762735 hasRelatedWork W2066577036 @default.
- W2896762735 hasRelatedWork W2090852104 @default.
- W2896762735 hasRelatedWork W2171986693 @default.
- W2896762735 hasRelatedWork W2189368509 @default.
- W2896762735 hasRelatedWork W2341038101 @default.
- W2896762735 hasRelatedWork W2539340507 @default.
- W2896762735 hasRelatedWork W2772835007 @default.
- W2896762735 hasRelatedWork W2774517239 @default.
- W2896762735 hasRelatedWork W2893737545 @default.
- W2896762735 hasRelatedWork W2950034567 @default.
- W2896762735 hasRelatedWork W2952379579 @default.
- W2896762735 hasRelatedWork W2990163852 @default.
- W2896762735 hasRelatedWork W3082974596 @default.
- W2896762735 hasRelatedWork W3083395091 @default.
- W2896762735 hasRelatedWork W2189523157 @default.
- W2896762735 isParatext "false" @default.
- W2896762735 isRetracted "false" @default.
- W2896762735 magId "2896762735" @default.
- W2896762735 workType "article" @default.