Step 1: Understanding the Concept:
A venturimeter is a device used to measure the flow rate of a fluid in a pipe based on the principle of Bernoulli's equation.
It consists of a converging section, a throat, and a diverging section.
Step 2: Detailed Explanation:
Venturimeters can be installed in different positions depending on the piping layout of the plant.
The classification is based on the orientation of the axis of the meter:
1. Horizontal Venturimeter (Option 1): The axis is horizontal. In this case, the potential head ($z$) is the same at both the inlet and the throat ($z_1 = z_2$).
2. Vertical Venturimeter (Option 2): The axis is vertical. The height difference between the inlet and throat must be considered in the flow equation.
3. Inclined Venturimeter (Option 4): The axis is at an angle between 0$^{\circ}$ and 90$^{\circ}$.
Right angle venturimeter (Option 3) is not a valid classification. Venturimeters must have a straight through-flow path for the differential pressure principle to work correctly. A right-angle turn in the meter would cause massive turbulence and energy loss, making the standard venturi formulas invalid. (While there are "elbow meters" for flow measurement, they are not called right-angle venturimeters).
Step 3: Final Answer:
Right angle venturimeters is not a classification.