Eulerian Method is the most commonly used method in fluid mechanics for analysis.

Explanation:
Fluid mechanics is the study of fluids (liquids, gases, and plasmas) and the forces acting on them. The behavior of fluids is analyzed using various techniques, including mathematical models and numerical simulations. One of the most commonly used methods for analyzing fluid mechanics is the Eulerian Method.

Eulerian Method:
The Eulerian Method is a mathematical approach that considers the fluid as a continuous medium, and the properties of the fluid (such as velocity, pressure, and density) are defined at each point in space and time. In this method, the fluid flow is observed at a fixed point in space, and the properties of the fluid are measured at that point as a function of time.

Advantages of Eulerian Method:
The Eulerian Method has several advantages over other methods, including:

1. It is useful for analyzing steady-state and unsteady-state flows.
2. It is well-suited for analyzing large-scale flows.
3. It can be used to obtain detailed information about the flow field, including velocity profiles, pressure distributions, and turbulence characteristics.

Disadvantages of Eulerian Method:
The Eulerian Method also has some limitations, including:

1. It is difficult to analyze flows with complex geometries.
2. It may not capture small-scale turbulent structures.
3. It may not accurately predict the behavior of fluids with non-Newtonian properties.

In summary, the Eulerian Method is the most commonly used method in fluid mechanics for analyzing fluid flow. Its advantages include its ability to analyze both steady-state and unsteady-state flows, its suitability for analyzing large-scale flows, and its ability to provide detailed information about the flow field. However, it also has some limitations, including its difficulty in analyzing complex geometries and its inability to accurately predict the behavior of non-Newtonian fluids.

We can describe velocity, acceleration, pressure at a some point easily to find the unknowns.so correct option is b