Question

3) It is well know that the coffee brewed in Seattle, WA is far superior in flavor to the coffee brewed in Oklahoma City. Therefore it has been proposed to build a pipeline from Seattle to OKC to deliver fresh brewed coffee. The proposed pipeline will be 2000 miles long. There are about 333,000 coffee drinkers in the OKC area and they drink, on average, 3 cups per day. The pipeline will be made of smooth tubing with an inner diameter of 8cm. The maximum pressure for this type of tubing is about 300 m of water head. How many pumping stations will be required for the entire pipeline? (You may assume that the physical properties of coffee are identical to water.)

Answer 1

Chemical Engineering 2000 miles d=8cm Station 1514. Tomile station 3, 331000 Given that; Total Coffe drinkess. coffee 3 cups / day let's assume that, I Cup Coffee 118 ml = 0.116 ltr. So, total consumption of coffee per day is 3,331000 x 3 x0.18 117882 ltr/ etol day 117.882 m3 day 1.364 x 18-3 m3 Coffe flow sate col = see. - A.V 1:364810 3. U= Ang. Velocity of coffee x (0.0 8² x v V = 0.871 m/s Viscosity of Water CMD= 8-91X10-4 pars A Here we assume that there is pumping Station at the indiel point of pipeline which pumps the water at the maximum possible pressure a

of 300m of water and we will need the other pumping station at the point where the pressure becomes zero due to the viscous classes during the to flow in pipe. of the flow We know that in a pipe flow AP= P P2 = 32 uve 22 here P = 0 = fluid is about to stop la pipe length where pressure is zeso SO, 300X1600 x 9:81) - (0) = 3248.91410 X 0.271 x I (0.0872 l= 2437.66 km Il = 1514.70 mile) so, we will need another pumping Station at a distance of 1514.70 mile from the Seattle, which will pump the coffee again to reach it to the Oklahoma city.