From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Page detailing the equations for calculating the flow of liquids through pipes.
Identifier | ExFiles\Box 36\1\ scan 017 | |
Date | 18th May 1936 | |
R.R. 235 A (400 T) (S.C. 539. 18-5-36) G.{Mr Griffiths - Chief Accountant / Mr Gnapp} 1546. -5- X.2907L/P - FLOW OF LIQUIDS THROUGH PIPES The loss of head of a liquid flowing through a pipe is given by the following equation:- h = f * (l/m) * (v^2 / 2g) Where h = loss of head in feet (or total energy per lb in ft. - lbs. per lb). f = Coeff: of liquid friction. l = Length of pipe in ft. m = Hydraulic mean radius of pipe = area of cross section (sq.ft) / perimeter (ft). = A/p ft. v = mean velocity of flow (ft/sec). g = 32.19 ft per second per second. The loss of pressure = P = hσ where σ is the density of the liquid (lbs per cubic ft). = fσ * (l/A) * (v^2/2g) Whence v = sqrt( (2g * A * P) / (fσ * l * p) ) Quantity flowing in cubic feet per second = Q = vA = sqrt( A^3 / (f*l*p) ) x sqrt( (2g * P) / σ ) and therefore varies as sqrt( A^3 / p ) other things being the same. | ||