A fluid of constant density $$ flows over a solid body of arbitrary shape with a uniform free stream Tutorial$-04(05/09/2024,11$ AM$-12$ PM$)$

A fluid of constant density $$ flows over a solid body of arbitrary shape with a uniform free stream velocity $U_{}$ as shown in Figure $1.$ The velocity distribution at the downstream of the body is given by $\frac{u}{U_{}}=sin[\frac{y}{2}a].$ The width of flow perpendicular to the plane of the figure is $w.$ Assuming that the flow is symmetrical with respect to the center line, find the total drag force on the solid body exerted by the fluid.

velocity $$ as shown in Figure $1.$ The velocity distribution at the downstream of the body is

given by $$

$$ sin$$

$2.$ The width of flow perpendicular to the plane of the figure is $.$

Assuming that the flow is symmetrical with respect to the center line, find the total drag force on

the solid body exerted by the fluid.