Question

Use a MATlab code to solve for the flows.

1.0 of water needs to be transferred from point A to point B through the following pipeline network. The pressure drop between two ends of each circular pipe length can be computed by Darcy-Weisbach equation where ΔP ls the pressure drop (Pa), f ls the friction factor (dimensionless), L Is the pipe length (m), ρ is the fluid density ( g) and D is the pipe diameter (m). Write two pressure drop equations and two continuity equations for the pipe network. Then show how to set them up as one system of equations and then solve it in MATLAB to determine flows Q1, Q2, Q3, and Q4 Answer: Q=[0.7107 0.2893 0.1680 0.1214 1-2200 m 1m し1400 m し,-1200 m C L- 1100 m Punter = 1000-

Answer 1

MATLAB Code:

p>ass.a dve P e@yw a p 4 2244 BJれ1e two 4- 3 [1- 3-a.] * L, -t (@g-10.ץ4" 4. I

L1 = 2200;
L2 = 1200;
L3 = 1400;
L4 = 1100;
a1 = -L1 + L2 + L3;
b1 = -L1 + L2;
a2 = b1;
b2 = -L1 + L2 + L4;

A = [a1 b1; a2 b2];
B = [L1; L1];
Q = A\B

= ny-script. m RUN Vars [2x2] A [2x118 #LI #L2 #L3 #L4 [2x11 Q # a1 #a2 L2· 1200; 3 L3 1480; 4 L4 1100; al = -L1 + L2 + L3; 10 A=[a1b1; a2021; [1x77) anso octave: 1> source("my_script.m) # bi #62 -2.5208 -3.2083