hydraulic axial forces acting on a francis runner l.
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Hydraulic axial forces acting on a Francis runner. Hydraulic axial forces acting on a Francis runner. F 1 = Force from ring area F 2 = Reaction force from the absolute velocity at the inlet. F 3 = Force due to the outlet pressure

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slide3

Hydraulic axial forces acting on a Francis runner

F1 = Force from ring area

F2 = Reaction force from the absolute velocity at the inlet.

F3 = Force due to the outlet pressure

F4 = Reaction force from the absolute velocity at the outlet.

F5 = Force due to the pressure between the top cover and the impeller hub at the low pressure side of the labyrinth sealing.

F6 = Force due to the pressure between the top cover and the impeller hub at the high pressure side of the labyrinth sealing.

F7 = Force due to the pressure between the lower cover and the impeller ring at the high pressure side of the labyrinth sealing

F8 = Force due to the pressure at the upper labyrinth sealing

F9 = Force due to the pressure at the lower labyrinth sealing

slide8
Force due to the pressure between the top cover and the impeller hub at the low pressure side of the labyrinth sealing, F5.

where:

hp = pressure of the cooling water for the generator  25 meter water colomn

hp will have another pressure if the water is not used for cooling.

k = 0,50 – 0,55

rp = Dp/2

ri = Dr/2

slide9
Force due to the pressure between the top cover and the impeller hub at the high pressure side of the labyrinth sealing, F6.
slide10
Force due to the pressure between the lower cover and the impeller ring at the high pressure side of the labyrinth sealing, F7.
force due to the pressure at the upper labyrinth sealing f 8
Force due to the pressure at the upper labyrinth sealing. F8.

where the pressure at the high pressure side of the labyrinth sealing is:

force due to the pressure at the lower labyrinth sealing f 9
Force due to the pressure at the lower labyrinth sealing. F9.

where the pressure the high pressure side of the labyrinth sealing is:

and hs = pressure head at the draft tube inlet