| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312112 |
| ISSN: | 0100-7386 |
| Authors: | Santos, R.G1 Favaro, C Silva, A.F.S Figueiredo, J.R Sbravati, A |
| Institutions: | 1Universidade Estadual de Campinas, Departamento de Energia, Campinas, Sao Paulo. Brasil |
| Year: | 2002 |
| Season: | Jul |
| Volumen: | 24 |
| Number: | 3 |
| Pages: | 158-168 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Aplicado |
| English abstract | This paper gives a detailed presentation of the Substitution-Newton-Raphson method, suitable for large sparse non-linear systems. It combines the Successive Substitution method and the Newton-Raphson method in such way as to take the best advantages of both, keeping the convergence features of the Newton-Raphson with the low requirements of memory and time of the Successive Substitution schemes. The large system is solved employing few effective variables, using the greatest possible part of the model equations in substitution fashion to fix the remaining variables, but maintaining the convergence characteristics of the Newton-Raphson. The methodology is exemplified through a simple algebraic system, and applied to a simple thermodynamic, mechanical and heat transfer modeling of a single-stage vapor compression refrigeration system. Three distinct approaches for reproducing the thermodynamic properties of the refrigerant R-134a are compared: the linear interpolation from tabulated data, the use of polynomial fitted curves and the use of functions derived from the Helmholtz free energy |
| Disciplines: | Física y astronomía, Matemáticas |
| Keyword: | Termodinámica y física estadística, Matemáticas aplicadas, Vapor, Compresión, Método de Newton-Raphson, Sustitución, Variables, Sistemas de refrigeración |
| Keyword: | Physics and astronomy, Mathematics, Thermodynamics and statistical physics, Applied mathematics, Vapor, Compression, Newton-Raphson, Substitution, Variables, Refrigeration systems |
| Full text: | Texto completo (Ver HTML) |
