Velocity of a fluid particles moving in a steady flow is constant . local acceleration is zero for a study flow

False

Explanation:
In fluid mechanics, local acceleration refers to the rate of change of velocity at a particular point in a fluid flow. It is the acceleration experienced by a fluid particle as it moves through a flow field. Local acceleration can be caused by changes in flow velocity, direction, or both.

Steady flow:
Steady flow is a type of fluid flow where the velocity at any point in the flow field remains constant over time. This means that the flow does not change with time. In a steady flow, the fluid particles follow definite paths and their velocity remains constant at any given point.

Constant value of local acceleration:
In a steady flow, the local acceleration does not have a constant value. This is because the velocity of the fluid particles may change from one point to another, resulting in different rates of change of velocity at different points in the flow field. Therefore, the local acceleration varies with position in a steady flow.

Example:
Consider the flow of water in a pipe. If the flow is steady, the velocity of the water particles at any point in the pipe will remain constant. However, as the water flows from the wider section of the pipe to the narrower section, the velocity of the water particles will increase. This change in velocity will result in a non-zero local acceleration at different points along the pipe.

Conclusion:
In conclusion, local acceleration does not have a constant value for a steady flow. It varies with position in the flow field. Therefore, the correct answer to the given question is option 'B' - False.