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In a one-dimensional flow field in a pipe, the fluid velocity is given by u = x + 2t where ‘t’ is the time. The flow in the pipe is:

In a one-dimensional flow field in a pipe, the fluid velocity is given by u = x + 2t where ‘t’ is the time. The flow in the pipe is: Correct Answer Unsteady non-uniform flow

Explanation:

Steady Flow: The flow is defined as steady flow when the velocity and other hydrodynamic parameters do not change with time at any given point.

Unsteady Flow: The flow is defined as unsteady flow when the velocity and other hydrodynamic parameters change with time at any given point.

Uniform flow: The flow is defined as uniform flow when the velocity and other hydrodynamic parameters do not change from point to point at any given instant of time.

Non-uniform flow: The flow is defined as non-uniform flow when the velocity and other hydrodynamic parameters change from point to point at any given instant of time.

The given function of u = x + 2t

u = f (x,t)                                                 

u is a function of both time and space. Therefore the velocity will vary with time as well as space. Hence it is unsteady and non-uniform flow.

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