Question

A 16-inch gasoline pipe line is transport gasoline at a flow rate of 200 gallon per minute. Please calculate how much pressure gradient dp/dx is needed, using the N-S equation provided in below? (Hint: Assuming the flow in the pipe line is laminar so you can use the Poisson flow to solve the problem. Dynamic viscosity of gasoline is 0.0006 N/m*2 second; density of gasoline is 0.77 kg/L.) Cylindrical coordinates (r.0,2) We consider an incompressible, isothermal Newtonian flow (density p-const, viscosity ?-const), with a velocity field V=(ur,1,M,). Incompressible continuity equation: Steady: = 0 Velocity profoil not changing over z: 0 Axial symetric a at eq a) C x au r-component az a0 eq b) ?-component eq c) l op 2-component Ou ou o- eq d)

Step by step solution please

Answer 1

G)fUen fhat d tnch O.ID64 meltr 0-200 gallon [min o 0126 m? cec ω equation to Pi = 0.0126 0.129チ Co 406) dp 61606