The horizontal bottom of a wide vessel with an ideal fluid has a round orifice of radius R1 over which a round closed cylinder is mounted, whose radius R2>R1 as shown in figure. The clearance between the cylinder and the bottom of the vessel is very small, the fluid density is ρ. Find the static gauge pressure of the fluid in the clearance as a function of the distance r from axis of the orifice (and the cylinder), if the height of the fluid is equal to h.

The horizontal bottom of a wide vessel with an ideal fluid has a round

1.	The horizontal bottom of a wide vessel with an ideal fluid has a round orifice of radius R1 over which a round closed cylinder is mounted, whose radius R2>R1 as shown in figure. The clearance between the cylinder and the bottom of the vessel is very small, the fluid density is ρ. Find the static gauge pressure of the fluid in the clearance as a function of the distance r from axis of the orifice (and the cylinder), if the height of the fluid is equal to h.
Answer» The horizontal bottom of a wide vessel with an ideal fluid has a round orifice of radius $R_{1}$ over which a round closed cylinder is mounted, whose radius $R_{2} > R_{1}$ as shown in figure. The clearance between the cylinder and the bottom of the vessel is very small, the fluid density is $ρ$ . Find the static gauge pressure of the fluid in the clearance as a function of the distance r from axis of the orifice (and the cylinder), if the height of the fluid is equal to h.