MICRO-HYDRO SYSTEM
POWER PRODUCED CALCULATION
P = η ∙ ρ ∙ Q ∙ g h, where • P is the power in watts • η is the turbine efficiency coefficient (dimensionless) • ρ is the water density in kg / m3 • Q is the flow in m3 / s • g is the acceleration of gravity • h is the difference in height between inlet and outlet https://en.wikipedia.org/wiki/Hydropower Flow in a Tube (Manning) • Q = 1 / n ∙ ∙ A (r / 2) ^ (2/3) ∙ √S • Q = Water flow - m³ / s • A = The cross-sectional area - m² • n is coefficient of friction (eg 0.009 for plastic) • S slope of the pipe Q = 1 / n ∙ A ∙ (r / 2) ^ (2/3) ∙ √S With plastic pipes and a pipe diameter of 20 cm = 0.02 meters Area of pipe "A" = πr² = π (0.1 meter) ² S = 35ᵒ / 90ᵒ
Q = 1 / n ∙ ∙ A (r / 2) ^ (2/3) ∙ √S = 1 / 0.009 x π (0.1x0.1) x (0.1 / 2) ^ (1/3) x √ (35/90) = 1 / 0.009 x π (0.1x0.1) x (0.0025) ((1/3) x √0.38 = 1 / 0.009 x π (0.01) x (2.5) ((1/3) / 10 x0.615 = 1 / 0.009 x π 0.01 x 1.36 / 10 x 0.6 = 0, 3 m³ / s
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