(Solved): Please answer all parts urgently The uniform fluid flow in the figure from 1 to 2 is steady and i ...

Please answer all parts urgently

The uniform fluid flow in the figure from 1 to 2 is steady and incompressible. External force, $$F$$ is applied to keep the gate stationary and, $$F$$ value needs to be ascertained. a) Draw the relevant control volume to ascertain the holding force, $$F$$. b) If water flows along straight streamlines at sections 1 and 2, what would be the vertical pressure distribution in sections 1 and 2 ? Draw the pressure distributions in sections 1 and 2, neglecting the effects of atmospheric pressure. Hint: Bernoulli equation across the streamlines is: $$P+??\frac{V^2}{R}dn+?gZ=$$ Constant, where $$R$$ is the local radius of curvature of the streamlines and $$n$$ is the normal direction. c) Neglecting the effects of atmospheric pressure and assuming that the water flows along straight streamlines at sections 1 and 2 , obtain expressions for the pressure forces at sections 1 and 2 . d) Determine the momentum flux through sections 1 and 2 . e) Ascertain the $$h_1/h_2$$ ratio. f) Neglecting frictional forces caused by the bottom horizontal solid surface, obtain a function for $$F$$ using the outlet velocity, $$V_2$$ other given parameters, fluid density and gravitational acceleration. g) Once the gate shown in the figure is closed (1.e. $$h_2$$ is zero), determine the new holding force, $$F$$ by writing the linear momentum equation for a suitable control volume. Indicate your assumptions. h) By comparing the expressions in parts $$\mathrm{f}$$ and $$\mathrm{g}$$, is the holding force, $$F$$ larger when the gate is closed or open? Explain this result using the relevant momentum fluxes at sections 1 and 2 .