The gate shown on the figure below is 3 m wide normal to the

The gate shown on the figure below is 3 m wide (normal to the page), and is used as a wall for an undersea oil storage tank. The tank is airtight and contains nitrogen pressurized to 2 bar in addition to the oil. Find the net force that the fluids exert on the gate for the conditions shown on the figure. The specific gravities of the seawater and the oil are 1.06 and 0.85.

Solution

While throughout much of a flow-field the effect of viscosity may be very small, a number of factors make the assumption of negligible viscosity invalid in many cases. Viscosity cannot be neglected near fluid boundaries because of the presence of aboundary layer, which enhances the effect of even a small amount of viscosity. Turbulence is also observed in some high-Reynolds-number flows, and is a process through which energy is transferred to increasingly small scales of motion until it is dissipated by viscosity

While throughout much of a flow-field the effect of viscosity may be very small, a number of factors make the assumption of negligible viscosity invalid in many cases. Viscosity cannot be neglected near fluid boundaries because of the presence of aboundary layer, which enhances the effect of even a small amount of viscosity. Turbulence is also observed in some high-Reynolds-number flows, and is a process through which energy is transferred to increasingly small scales of motion until it is dissipated by viscosity