For the velocity fields given below determine a whether the

For the velocity fields given below, determine: a) whether the flow field is one-, two-, or three-dimensional, and why. b) whether the flow is steady or unsteady, and why. (The quantities a and b are constants.) V = [ay^2 e^-bt]i V = ax^2 i + bxj + ck V = axyi - bytj V = axi - byj + ctk

Solution

1. it is one dimensional only since it is along only one direction... Flow is unstedy since it changes with time

2.It is 3 dimensional..since along 3 directions..Flow is steady flow

3.It is 2 d and steady flow

4.It is 3d and unsteady flow