Problem $2$: $4\mathrm{.}4$ A simple flow model for a two$-$dimensional converging nozzle is the distribution

$u=U_o(1+\frac{x}{L}),v=-U_o\frac{y}{L},w=0$

$($a$)$ Sketch a few streamlines in the region $V=4t-2t^{2}yj+4xzk(x,y,z)=(-1,+1,0)0.$

$(b)$ Find expressions for the horizontal and vertical accelerations.

$(c)$ Where $is$ the largest resultant acceleration and its numerical value?

Problem $3$: $An$ idealized velocity field $is$ given $by$ the formula

$V=4t-2t^{2}yj+4xzk$

$(a)Is$ this flow field steady $or$ unsteady?

$(b)Isit$ two$-or$ three$-$dimensional?

$(c)$ Find expressions for the local and convective acceleration.

$(d)At$ the point $(x,y,z)=(-1,+1,0),$ compute the acceleration vector$\mathrm{.}0$ and $0.$

$(b)$ Find expressions for the horizontal and vertical accelerations.

$(c)$ Where $is$ the largest resultant acceleration and its numerical value?

Problem $3$: $An$ idealized velocity field $is$ given $by$ the formula

$V=4t-2t^{2}yj+4xzk$

$(a)Is$ this flow field steady $or$ unsteady?

$(b)Isit$ two$-or$ three$-$dimensional?

$(c)$ Find expressions for the local and convective acceleration.

$(d)At$ the point $(x,y,z)=(-1,+1,0),$ compute the acceleration vector.