An analogue transformation method of obtaining stream-lines in problems having axial symmetry
N P R Sherry; A R Curtis; N P R Sherry; Physics Department, Nottingham and District Technical College, Nottingham; A R Curtis; Physics Department, Nottingham and District Technical College, Nottingham
Журнал:
British Journal of Applied Physics
Дата:
1963-05-01
Аннотация:
An analogue transformation is proposed for solving the axially symmetrical equation<sup>2</sup>ψ/R<sup>2</sup> - (1/R)ψ/R + <sup>2</sup>ψ/z<sup>2</sup> = 0This consists of transforming the boundaries and coordinates by the rule R' = kR<sup>2</sup>, z' = z and then solving the transformation using the normal resistive paper technique. A first order mathematical justification of the method is given and a comparison is made between the solutions obtained in certain cases and those derived by numerical relaxation methods. Agreement between these solutions is very satisfactory.
211.2Кб