Type II problems are common. The question starts when we are wondering for an expected volumetric flow rate for a given system. Imagine having a pipeline system with fixed fittings, pipe length and diameters. You would expect a volumetric flow rate due to the friction. This is what we will try to calculate here.

In Type II problem,it is impossible to solve algebraically. Many variables depend on the velocity of the fluid.

Velocity can’t be obtained with Q/A = V
Velocities can be related with the diameter sizing VaDa^2 = VbDb^2
Reynolds Number can’t be calculated directly Re = rho*V*D/miu
Relative Roughness can be calculated easily e/D
Velocity heads can’t be calculated Va^2 / 2 and Vb^2 / 2
Friction Factor can’t be found with Moody’s Diagram (Re, e/D)
Friction loss is calculated since everything is known
We gotta iterate. Guess for a Volumetric Flow rate, then calculate the given speed of the fluid, then calculate all other relationships related to Velocity.

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