i want complete answers step by step Details pipe Diameterm

Assume 1 atm and 40°C atmospheric conditions. 1. Calculate the maximum pumping rate in barrels per day (1 barrel = 0.159 m) if the flow is constrained to be 2. Suppose the pipeline is to be designed to transport maximum rate of 92 000 barrels/day. Determine the 3. laminar. Reynolds number Determine the total head loss for 15.6 km trip if the flow rate is maintained at 92 000 barrels/day Determine the pumping power requirement to overcome this pressure drop. Discuss the precautions that can be applied on your pipeline design to minimize friction losses. 4.

Solution

Pipe diameter, D = 225 mm = 0.225 m

for lamilar flowin a pipe, Renolds no., Re is 2000.

kinematic viscosity of crude oil at 1atm 40 deg C, K =

so, velocity in the pipe will be, V = (Re x K) / D = (2000 x 9.7 x 10^-6) / 0.225 m/s

                                                                           = 0.086 m/s

so, Flow rate through the pipe = velocity x pipe area

                                                 = 0.086 x [(3.14/4) x 0.225²]

                                                 = 0.0034 m³/s

So flow through pipe per day = 0.0034 x 3600 x 24 = 293.76 m³

1. Maximum pumping rate in barrels per day = 293.76 / 0.159 = 1848 barrel.   [ 1 barrel = 0.159 m³]

2. maximum rate is 92000 barrels per day

So, flow rate per second = 92000 / (24 x 3600) = 1.065 m³/s

   area of the pipe = (3.14 / 4) x 0.225² = 0.0397 m ²

so, velocity in the pipe, V = flow rate / pipe area = 1.065 / 0.0397 m = 26.83 m/s

So, the Reynolds number = (V x D) / K = (26.83 x 0.225) / (9.7 x 10^-6) = 622345.36