Prediction of temperature distribution in annular fuels using orthogonal collocation method
| Autor: | H. Khalafi, H. Kazeminejad, H. Esmaili |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Finite volume method
Collocation Discretization 020209 energy 02 engineering and technology System of linear equations 01 natural sciences 010305 fluids & plasmas Cardinal point Nuclear Energy and Engineering 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Orthogonal collocation Applied mathematics Boundary value problem Legendre polynomials Mathematics |
| Zdroj: | Annals of Nuclear Energy. 134:77-87 |
| ISSN: | 0306-4549 |
| Popis: | In this paper, radial temperature distribution in an annular fuel rod is calculated using the orthogonal collocation method (OCM) and the finite volume method (FVM). Using the non-dimensional transient heat transfer equation and defining the relative radius of the nodal points inside each solid region, the annular fuel rod is transformed into the interval [0,1]. By doing this, one can use the Legendre polynomial roots in the interval [0,1] as the collocation points. In order to solve the system of equations, the boundary conditions appropriate to different discretization schemes were applied. To validate the proposed scheme, results were compared with those reported in the literatures, finite different method (FDM) and analytical solution. It was found that although FVM and FDM are simpler to implement, the OCM with fewer nodes is much faster than the FVM for comparable accuracy. |
| Databáze: | OpenAIRE |
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