Matches in SemOpenAlex for { <https://semopenalex.org/work/W4284675314> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4284675314 abstract "The paper develops a method for solving nonlinear equations of heat conduction. Two-layer container complexes have been created, the side faces of which are thermally insulated so that the 1D heat equation can be used. In order not to solve the boundary value problem with a contact discontinuity and lose the accuracy of the solution method, a temperature sensor was placed at the junction of two media, and a mixed boundary value problem is solved in each area (container). To provide initial data for the initial boundary value problem, three temperature sensors were used: two sensors measure air temperatures at the left and right boundaries of the container complex; the third sensor measures the temperature of the soil at the junction of two media. The paper numerically investigates the initial-boundary problem of heat conduction with nonlinear coefficients of heat conduction, heat capacity, heat transfer and density of the material. To solve a nonlinear initial-boundary value problem, the grid method is used. Two types of difference schemes are constructed: linearized and nonlinear. The linearized difference scheme is implemented numerically by the scalar sweep method, and the nonlinear difference problem is solved by the Newton method. On the basis of an a priori estimate of the solution of a nonlinear difference problem, we prove the convergence of the second degree of Newton’s method. The numerical calculations carried out show that, for small time intervals, the solutions of the linearized difference problem differ little from the solution of the nonlinear difference problem (1 - 3%). And for long periods of time, tens of days or months, the solutions of the two methods differ significantly, sometimes exceeding 20%" @default.
- W4284675314 created "2022-07-08" @default.
- W4284675314 creator A5073058035 @default.
- W4284675314 creator A5088318535 @default.
- W4284675314 date "2022-06-01" @default.
- W4284675314 modified "2023-09-27" @default.
- W4284675314 title "Solution of a nonlinear heat transfer problem based on experimental data" @default.
- W4284675314 doi "https://doi.org/10.26577/jmmcs.2022.v114.i2.014" @default.
- W4284675314 hasPublicationYear "2022" @default.
- W4284675314 type Work @default.
- W4284675314 citedByCount "0" @default.
- W4284675314 crossrefType "journal-article" @default.
- W4284675314 hasAuthorship W4284675314A5073058035 @default.
- W4284675314 hasAuthorship W4284675314A5088318535 @default.
- W4284675314 hasBestOaLocation W42846753141 @default.
- W4284675314 hasConcept C121332964 @default.
- W4284675314 hasConcept C134306372 @default.
- W4284675314 hasConcept C158622935 @default.
- W4284675314 hasConcept C172100665 @default.
- W4284675314 hasConcept C182310444 @default.
- W4284675314 hasConcept C205951836 @default.
- W4284675314 hasConcept C33923547 @default.
- W4284675314 hasConcept C50517652 @default.
- W4284675314 hasConcept C57879066 @default.
- W4284675314 hasConcept C62520636 @default.
- W4284675314 hasConcept C97355855 @default.
- W4284675314 hasConceptScore W4284675314C121332964 @default.
- W4284675314 hasConceptScore W4284675314C134306372 @default.
- W4284675314 hasConceptScore W4284675314C158622935 @default.
- W4284675314 hasConceptScore W4284675314C172100665 @default.
- W4284675314 hasConceptScore W4284675314C182310444 @default.
- W4284675314 hasConceptScore W4284675314C205951836 @default.
- W4284675314 hasConceptScore W4284675314C33923547 @default.
- W4284675314 hasConceptScore W4284675314C50517652 @default.
- W4284675314 hasConceptScore W4284675314C57879066 @default.
- W4284675314 hasConceptScore W4284675314C62520636 @default.
- W4284675314 hasConceptScore W4284675314C97355855 @default.
- W4284675314 hasIssue "2" @default.
- W4284675314 hasLocation W42846753141 @default.
- W4284675314 hasOpenAccess W4284675314 @default.
- W4284675314 hasPrimaryLocation W42846753141 @default.
- W4284675314 hasRelatedWork W2009337316 @default.
- W4284675314 hasRelatedWork W2076270432 @default.
- W4284675314 hasRelatedWork W2188048039 @default.
- W4284675314 hasRelatedWork W2245628451 @default.
- W4284675314 hasRelatedWork W2695443359 @default.
- W4284675314 hasRelatedWork W3092338098 @default.
- W4284675314 hasRelatedWork W3201901225 @default.
- W4284675314 hasRelatedWork W4288078204 @default.
- W4284675314 hasRelatedWork W4308086392 @default.
- W4284675314 hasRelatedWork W2745152223 @default.
- W4284675314 hasVolume "114" @default.
- W4284675314 isParatext "false" @default.
- W4284675314 isRetracted "false" @default.
- W4284675314 workType "article" @default.