Question

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.) 1 V! =½ay2e−bt ^i 2 V! =ax2^i+bx^j+c^k 3 V! =axy^i−byt^j 4 V! =ax^i−by^j +ct^k 5 V! =½ae−bx^i+bt2^j 6 V! =aðx2 +y2Þ1=2ð1=z3Þ^k 7 V! =ðax+tÞ^i−by2^j 8 V!

Answer 1

Step-by-step explanation:

The concept of steady and Unsteady flow is applied.A steady flow is one that does not change with time , while an Unsteady flow is one that does change with time, i.e a flow that is dependent on the time.

A one dimensional flow has just one coordinate in the space, while a two and a three dimensional flow will have 2 and 3 coordinates respectively.

The detailed steps and explanation is shown in the attachment.