Reservoir, pipe and turbine A cylindrycal tankof radiu Ra contains water. It is connected by a pipe ( radius Rb) to a turbine whose inlet is located at a height h below the water level in the tank (figure on picture). Water flows continuously through the pipe and the turbine. We denote by pb and pc the pressure at the inlet and outlet of the turbine, respectively. As long as pb>pc, the turbine sets the constant flow rate Q. At the outlet of turbine (C), the fluid flows in a horizontal pipe ( radius Rc and length L). The pipe outlet is located ad D. Flow rate Q=1 l/s, Ra= 80 cm, Rb = 8 cm, Rc=4 cm, h0=1,50m, L=10m. Kinematic viscosity of the water is 10-6 m2/s. 1. We consider the fluid perfect in the following question: a) Determine the power Pow absorbed ny the turbine b) Calculate numerically the velocities vb and vc than the pressure pb ( at the turbine inlet) and Pow for h=h0 2. The water is replaced by a hugh dynamic viscosity liquid μ = 1 Pa.s but of the same density ( 1000 kg/m3). It is assumed that the viscosity forces occur only in the CD section. The flow rate Q remains the same as in the previous question. Q=1 l/s. a)Determine pc and Pow b) Make the numerical application for h=h0 c) Compare Pow to the result obtained in 1 c) and comment .
Reservoir, pipe and turbine
A cylindrycal tankof radiu Ra contains water. It is connected by a pipe ( radius Rb) to a turbine whose inlet is located at a height h below the water level in the tank (figure on picture). Water flows continuously through the pipe and the turbine. We denote by pb and pc the pressure at the inlet and outlet of the turbine, respectively. As long as pb>pc, the turbine sets the constant flow rate Q. At the outlet of turbine (C), the fluid flows in a horizontal pipe ( radius Rc and length L). The pipe outlet is located ad D.
Flow rate Q=1 l/s, Ra= 80 cm, Rb = 8 cm, Rc=4 cm, h0=1,50m, L=10m. Kinematic viscosity of the water is 10-6 m2/s.
1. We consider the fluid perfect in the following question:
a) Determine the power Pow absorbed ny the turbine
b) Calculate numerically the velocities vb and vc than the pressure pb ( at the turbine inlet) and Pow for h=h0
2. The water is replaced by a hugh dynamic viscosity liquid μ = 1 Pa.s but of the same density ( 1000 kg/m3). It is assumed that the viscosity forces occur only in the CD section. The flow rate Q remains the same as in the previous question. Q=1 l/s.
a)Determine pc and Pow
b) Make the numerical application for h=h0
c) Compare Pow to the result obtained in 1 c) and comment .
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