Axysymmetric analysis How to write boundary condtions for ax

Axysymmetric analysis

How to write boundary condtions for axisymmetric problem.

For other plane problem we write

The boundary conditions u_i = U_i on Gamma_u sigma_i j n_j = t_i on Gamma_sigma where U_i is the given displacements on Gamma_u, t_i is the given tractions on Gamma_sigma, n_i is the unit vector outwardly normal to the surface partial differential Ohm

Solution

The data below is provided for a centrifugal pump with a 72 inch impellor operating at 225 rpm (where e is pump efficiency). What size and speed of a homologous pump should be used to produce 200 cfs at 60ft head when operating at highest efficiency? The answer must be: 51 in and 369 rpm

H (ft) Q (cfs) e (%)

60 200 69

57.5 225 75

55 256 80

52.5 280 83.7

50 303 86

47.5 330 87.3

45 345 88

42.5 362 87.4

40 382 86.3

37.5 396 84.4

35 411 82

32.5 425 79

30 438 75

27.5 449 71

25 459 66.5