Question

Problem 4 4.50 A conical flask contains water to height H=36.8 mm, where the flask diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d= 7.35 mm at the apex of the cone. The flow speed at the exit is approxi- mately V = V2gy, where y is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow rate, Q = 3.75 X 10-9 m/hr. Find the volume flow rate from the bottom of the flask. Evaluate the direction and rate of change of water surface level in the flask at this instant.

Answer 1

fig. consider a conical flask as shown in 19 = 3. 75 x 10 mlhr. L = 29.4mm, H=36.8mm = 0.036m d = 7.35 mm Here we want to calculate flow rate at the exit of the flask is Q. .. We know that Q = ax velocity - But Véxit = √29H (given) vexit = V249.81X0-036 Vexit = 0.840 mis] ega o Becomes a = I xdxverit Q = 1 X 0.00735x0.84 a = 3.564 x 105 m31 sec) exit flow of flask. Scanned with CamScanner