At t = 0 the tank shown in fig. is full up to top level, write the differential equation for the function of depth with respect to time.
At t = 0 the tank shown in fig. is full up to top level, write the differential equation for the function of depth with respect to time.
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:At t = 0 the tank shown in fig. is full
up to top level, write the differential
equation for the function of depth
with respect to time.
Tank
2 m
2 m
conical
1 m
1 m
cylinder
r = 0.05 m
Choose T or F
F
Case 1: y> 1
case 2: y< 1
m
boundary
condition at
t=tm ,y=1
TI(1)2 dy/dt
=0 -cd* t *(
0.05)2 *
(2gy)1/2
I(y+1)2
dy/dt =o -
cd* n *(
0.05)2 *
(2gy)1/2
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