Fluid Flow HEAD LOSS Solution: The  sequence  of  steps  necessary  to  solve  this  problem  is  first  to  determine  the  flow velocity.    Second,  using  the  flow  velocity  and  the  fluid  properties  given,  calculate  the Reynolds number.  Third, determine the friction factor from the Reynolds number and the relative roughness.   Finally, use Darcy’s equation to determine the head loss. m rAv v m rA 700^lbm sec æ ç è ö ÷ ø 60^lbm ft³ p  (10  in) 2 1  ft² 144  in² v 5.35 ft sec N_R rvD µ  g_c N_R æ ç è ö ÷ ø 60^lbm ft³ æ ç è ö ÷ ø 5.35 ft sec æ ç è ö ÷ ø 20  in 1  ft 12  in 1.978  x  10^{7lbf   sec} ft² 32.17^ft   lbm lbf   sec² 8.4  x  10⁷ Use  the  Moody  Chart  for  a  Reynolds  number  of  8.4  x  10⁷  and  a  relative  roughness  of 0.00008. f 0.012 H_f f L D v² 2g (0.012) 100  ft 20  in^æ ç è ö ÷ ø 1  ft 12  in æ ç è ö ÷ ø 5.35 ft sec 2 2^æ ç è ö ÷ ø 32.17 ft sec² H_f 0.32  ft Rev. 0 Page 33 HT-03