Knowing the distance between the upper reservoir and the lower reservoir of a Hydro power plant; knowing the temperature of the water.. Assuming that there is no friction loss in the penstock, and the atmospheric pressure difference between the upper reservoir and lower reservoir is negligible.
How can i find the water speed flowing into the plant turbine with Bernoulli's equation and assuming water is incompressible? How can i find the kinetic energy of a meter cube of water when it reaches the turbine?
Thanks
Dear Aristide Foudji,
I think, you can easily calculate the velocity of water at lower reservoir by doing Bernoulli equation on the system.
DEL P / Rho + DEL Ek + DEL Ep + Friction + Ws = 0
From the given data, DEL P / Rho = 0, Friction = 0, and Ws = 0. So DEL Ek = - DEL Ep and by assume that the water velocity at upper reservoir surface = 0 because the upper reservoir is large enough, you can find the velocity at lower reservoir.
I hope my explanation can help you.
Dear Aristide. I believe that the approach suggested by D Gunawan works if you assume that the inlet port to the hydro plant is at atmospheric pressure. Assuming that you refer to a hydro electric power plant, this is the case of a Pelton type of rotor where the inlet stream is at atmospheric pressure. For other types of hydro power plants (like Francis or Kaplan type) , it is necessary to establish a control volume around the inlet and outlet water streams (including the turbine-generator) and make an educated guess about the power that will be "sucked" by the turbine - generator couple. I would think that the process involves making assumptions for the efficiency of the turbine and obtaining thereafter both incoming and outlet velocities (continuity of mass applies). I hope this helps. Enrique.
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