The velocity field for a fluid flow is given as $V=t(x-1)i-tyj$

a$)$ Determine the local acceleration.

b$)$ Determine the convective acceleration.

c$)$ Determine the total acceleration.

d$)$ Is the flow steady or not? Explain why?

e$)$ Is the flow compressible or not? Explain why?

$($Ans$.$

a$)(x-1)i-yj$;

b$)t^2[(x-1)i+yj]$;

c$)(x-1)(1+t^2)i+y(t^2-1)j$;

d$)$

unsteady; e$)$ incompressible$)$