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Find the head loss coefficients for partially open butterfly valves.

Given the diameter and the opening angle of a butterfly valve, calculates the head loss coefficients corresponding to three different types of valves, for the expressions:

- For k applicable to:
$hf = \frac{k \cdot U^2}{2\cdot g}$
- For $k_Q$ applicable to:
$ℎf = k_Q\cdot Q^2$

Find the head loss coefficients for partially open butterfly valves.

Given the diameter and the opening angle of a butterfly valve, calculates the head loss coefficients corresponding to three different types of valves, for the expressions:

- For k applicable to:
$hf = \frac{k \cdot U^2}{2\cdot g}$
- For $k_Q$ applicable to:
$ℎf = k_Q\cdot Q^2$

- Miller, Donald S. Internal flow systems. BHRA Fluid Engineers, 1978.