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 pu. Acceleration due to gravity is g. a) Find an expression for the rate of change of the mass of water in the tank. b) 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). c) An alarm is triggered when the pressure at the bottom of the tank exceeds palarm. Find an expression for the time at which the alarm goes off. Q₁ V evap Q₂ Dt Figure Q3: Water being pumped through a heated evaporation tank.

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 pu. Acceleration due to gravity is g. a) Find an expression for the rate of change of the mass of water in the tank. b) 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). c) An alarm is triggered when the pressure at the bottom of the tank exceeds palarm. Find an expression for the time at which the alarm goes off. Q₁ V evap Q₂ Dt Figure Q3: Water being pumped through a heated evaporation tank.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

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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 pu.
Acceleration due to gravity is g.
a) Find an expression for the rate of change of the mass of water in the tank.
b) At time t = 0, the height of water in the tank is 10. Find an expression for the height as a
function of time, h(t).
c) An alarm is triggered when the pressure at the bottom of the tank exceeds palarm. Find an
expression for the time at which the alarm goes off.
Q₁
Vevap
2₂
D₁
Figure Q3: Water being pumped through a heated evaporation tank.

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