Use matlab to solve the work. You will be determining the operating points of a single pump, two identical pumps in series, and two identical pumps in parallel for a given system. Note in this system we only focus on the valve head loss equation, and assume no other losses in the loop. The following characteristics used in this project are:

Note each of the pump parameters above is for a single pump.

For this project, you need to display your results in a graph format shown below:

Note the blue lines are the pump performance curves (single, series, parallel), and the red line is the system curve. The black dots indicate the pump operating points for each configuration.

You need to solve the operating points using two different approaches: the bisection and false-position methods. So you should have two different plots for your report, each in the format shown above. The solutions should have a relative error of 0.1%.

[tips]:

1. Use anonymous (inline) functions in MATLAB, or lambda functions in Python. 2. You are needing to find the intersection of the pump characteristic and system curves. This means you need to find the solution to head gain - lead loss = 0 3. If you are an ECE student, think of this in terms of voltage sources and resistors

Variable Value Parameter Shutoff Head (m) Maximum Flow Rate (m3/s) Pump Parameter Pump Parameter Pump Parameter HO 50 100 0 2 1-e-A FO Valve Head Loss Parameter Gravitational Acceleration (m/s2) K' 0.2 9.8 Variable Value Parameter Shutoff Head (m) Maximum Flow Rate (m3/s) Pump Parameter Pump Parameter Pump Parameter HO 50 100 0 2 1-e-A FO Valve Head Loss Parameter Gravitational Acceleration (m/s2) K' 0.2 9.8