Transcribed Image Text:As part of a processing of biofuels, water is pumped into a circular tank with a diameter Dt. as shown in Figure Q3. The flowrate into the tank is Q₁ and the flowrate out is Q₂. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is vevap- You may assume that water has a density of Pw, and vapour has a density of Pv. Acceleration due to gravity is g. 2₁ Vevap Q₂ => D₂ Figure Q3: Water being pumped through a heated evaporation tank. Find anexpressio for the rate of chnage of the mass of water in the tank At time t= 0 the height of water in the tank is h0. Find an expression for the height as a function of time h(t) An alarm is triggered when the pressure at the bottom of the tank exceeds P alarm. Find an expression for the time at which the alarm goes off
Transcribed Image Text:As part of a processing of biofuels, water is pumped into a circular tank with a diameter Dt. as shown in Figure Q3. The flowrate into the tank is Q₁ and the flowrate out is Q₂. When the vessel is heated, water evaporates. The average velocity at which the vapour rises across the entire tank is vevap- You may assume that water has a density of Pw, and vapour has a density of Pv. Acceleration due to gravity is g.
2₁
Vevap
Q₂
=>
D₂
Figure Q3: Water being pumped through a heated evaporation tank.
Find anexpressio for the rate of chnage of the mass of water in the tank
At time t= 0 the height of water in the tank is h0. Find an expression for the height as a function of time h(t)
An alarm is triggered when the pressure at the bottom of the tank exceeds P alarm. Find an expression for the time at which the alarm goes off
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