Water (density p-1000 is discharging from through a hole at the bottom of a graduated 71 cylinder. The mass flow rate exiting th
e container may be approximated by: Where Cd is the dimensionless discharge coefficient, A, is the area of the discharge hole, g is the acceleration due to gravity, and y is the water height in the container. The diameter of the graduated cylinder is 8 cm.
For the following givens, use matlab or a spreadsheet to estimate the time to empty half the water from the container.
For partial credit, perform a simple calculation to estimate an amount of time known to be too short but greater than zero.
C,-0.6 2 ,-0.04 cm g 9.8 m/s/s
Yinitial20cm
For the following givens, use matlab or a spreadsheet to estimate the time to empty half the water from the container.
For partial credit, perform a simple calculation to estimate an amount of time known to be too short but greater than zero.
C,-0.6 2 ,-0.04 cm g 9.8 m/s/s
Yinitial20cm
1 answer:
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To solve this problem it is necessary to apply the concepts related to temperature stagnation and adiabatic pressure in a system.
The stagnation temperature can be defined as
Where
T = Static temperature
V = Velocity of Fluid
Specific Heat
Re-arrange to find the static temperature we have that
Now the pressure of helium by using the Adiabatic pressure temperature is
Where,
= Stagnation pressure of the fluid
k = Specific heat ratio
Replacing we have that
Therefore the static temperature of air at given conditions is 72.88K and the static pressure is 0.399Mpa
<em>Note: I took the exactly temperature of 400 ° C the equivalent of 673.15K. The approach given in the 600K statement could be inaccurate.</em>