Question

Air enters a convergent-divergent nozzle at 20* 10⁵ N/m² and 40 degree C. The receiver Pressure is 2*10⁵ N/m² and the nozzle throat area is 10 cm².

(a) What should the exit area be for the design conditions above (i.e., to operate at Third Critical?)

Answer 1

The question involves calculating the pressure drop and maximum height of water flow using Bernoulli's principle, considering flow through a nozzle from a fire hose.

Step-by-step explanation:

The question pertains to the application of Bernoulli's principle in physics, where we are asked to calculate (a) the pressure drop due to the Bernoulli effect as water flows from a fire hose into a nozzle and (b) the height to which this water might rise from the nozzle.

To find the pressure drop, we would typically apply Bernoulli's equation, which relates the pressure, velocity, and height at two points in the flow of an incompressible fluid. This equation considers the conservation of energy within a flowing fluid, and it would be used to determine the pressure inside the nozzle when water is flowing from the hose to the nozzle's point of exit.

To calculate the maximum height, we would use the principle that the kinetic energy of the water at the nozzle exit is converted to potential energy at the maximum height. The maximum rise height can be found by equating the kinetic energy per unit volume at the nozzle exit to the potential energy per unit volume at the maximum height.