A Design Study of Single-Rotor Turbomachinery

Page 80

B.14 Turbine specific work − W t = m 4 ⋅ [U 5 ⋅ C θ5 − U 4 ⋅ C θ4 ]

<-----from the definition of angular momentum

− W t = ( m 3 + m f ) ⋅ [U 5 ⋅ ( U 5 − Wθ5 ) − U 4 ⋅ ( U 4 − Wθ4 )] − W t = m 3 ⋅ (1 +

<-----Cθ

U − Wθ

mf ) ⋅ [U 5 ⋅ ( U 5 − W5 ⋅ sin(β 5 )) − U 4 ⋅ ( U 4 − W4 ⋅ sin(β 4 ))] m3

− W t = m 3 ⋅ (1 + f ) ⋅ [U 5 ⋅ ( U 5 − W5 ⋅ sin(β 5 )) − U 4 ⋅ ( U 4 − W4 ⋅ sin(β 4 ))] Wt = −(1 + f ) ⋅ [U 5 ⋅ ( U 5 − W5 ⋅ sin(β 5 )) − U 4 ⋅ ( U 4 − W4 ⋅ sin(β 4 ))] m3

66

<-----W θ

W ⋅ sin ( β )

<-----f = m f / m 3

<-----Equation 15


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