Pump
adds energy to the fluid. |
Turbine
extracts energy from the fluid. |
Pump
increases the head. |
Turbine
decreases the head. |
Power
added to fluid. |
Power
extracted from fluid. |
Pressure
increased by pump. |
Pressure
decreased by turbine. |
Tz
= external torque driving pump |
Tz = torque developed by turbine |
Q = 2π
r1 b1 Vr1
= 2π r2 b2
Vr2 |
Q = 2π
r1 b1 Vr1
= 2π r2 b2
Vr2 |
Tz =
ρ Q [( r2 Vt2
] |
Tz =
ρ Q [( r2 Vt2 ˗
r1 Vt1 ] |
P =
Power = Tz ω |
P =
Power = Tz ω |
H
= Head = P / Q γ |
H
= Head = P / Q γ |
∆P =
γ H + (1/2)ρ V1
2 ˗ (1/2) ρ V2 2 |
∆P =
γ H + (1/2)ρ V2
2 ˗ (1/2) ρ V1 2 |
Station
1 refers to inner radius. (inlet) |
Station
1 refers to outer radius. (inlet) |
Station
2 refers to outer radius. (exit) |
Station
2 refers to inner radius. (exit) |
Vr1 |
Radial
component of the absolute fluid velocity at station 1 Vr1 = Vr1 , Vr1 = | V1
| |
Vr2 |
Radial
component of the absolute fluid velocity at station 2 |
Vt2 |
Tangential
component of the absolute fluid velocity at station 2 |
r1 |
Radial
distance to station 1 |
r2 |
Radial
distance to station 2 |
b1 |
Height
at station 1 |
b2 |
Height
at station 2 |
Tz |
External
torque driving a pump |
Tz |
Torque
developed by turbine by changing angular momentum of fluid |
Q |
Flow
rate passing through a pump or turbine |
ω |
Angular
speed of pump or turbine; rotational rate |
P |
Power
added to fluid by pump |
P |
Power
extracted from fluid by turbine |
H |
Head
added to fluid by the pump |
H |
Head
extracted from the fluid by the turbine |
ρ |
Mass
density of the fluid |
γ |
Specific
weight of the fluid |
∆P |
Pressure
rise caused by pump
∆P = P2 ˗
P1 |
∆P |
Pressure
drop caused by turbine ∆P =
P1 ˗ P2 |
β
1 |
Angle
between the vane at station 1 and the tangent to the circle at station 1 |
β
2 |
Angle
between the vane at station 2 and the tangent to the circle at station 2 |
α1 |
Angle
between the guide vane at station 1 and the vane of the impeller at station
1, turbine |