Answered: Transcribed Image Text:As part of a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

Q₁
→
er
D.
evap
Q₂
Figure Q3: Water being pumped through a heated evaporation tank.

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