GATE 2019: Fluid Mechanics Quiz 8

For the continuity equation given by to be valid, where is the velocity vector, which one of the following is a necessary condition?

A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of 20 mm diameter having a velocity of 10 m/s strikes the plate at its mid-point, at an angle of 30 ° with the vertical. Consider g as 9.81 m/s2 and neglect the self-weight of the plate. The force F (expressed in N) required to keep the plate in its vertical position is _______________

At two points 1 and 2 in a pipeline the velocities are V and 2V, respectively. Both the points are at the same elevation. Both the points are at the same elevation. The fluid density is ρ. The flow can be assumed to be in compressible, inviscid, steady and irrotational. The difference in pressures P₁ and P₂ at points I and 2 is

Water at 20 °C flows steadily through the box in figure, entering station (1) at 2 m/s. The horizontal and vertical forces required to hold the box stationary against the flow momentum is