2.A storage contains liquid at depth y where y-0 when the tank is half full, asshown below. Liquid is withdrawn at a constant flow rate Q to meet demands. Thecontents are resupplied at a sinusoidal rate 3Qsin2(t). The storage tank has a diameterD=5m.a. Beginning from conservation of mass, formulate an equation for the change indVTD2depth of water as a function of time. Hint:dtdin - 9out and V =4b. Use Euler's method to solve for the depth y, show the iterative equation for theEuler's method, and use Q=5 m3/s to complete the table below:t (s)y (m)0.51.0

1. Using 1st order O.D.E., Using Euler's method,

A storage contains liquid at depth y where y30 when the tank is half full, as shown below. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin (t). The storage tank has a diameter D=5m. 2.

A storage contains liquid at depth y where y30 when the tank is half full, as shown below. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin (t). The storage tank has a diameter D=5m. 2.

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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Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

2.
A storage contains liquid at depth y where y-0 when the tank is half full, as
shown below. Liquid is withdrawn at a constant flow rate Q to meet demands. The
contents are resupplied at a sinusoidal rate 3Qsin2(t). The storage tank has a diameter
D=5m.
a. Beginning from conservation of mass, formulate an equation for the change in
dV
TD2
depth of water as a function of time. Hint:
dt
din - 9out and V =
4
b. Use Euler's method to solve for the depth y, show the iterative equation for the
Euler's method, and use Q=5 m3/s to complete the table below:
t (s)
y (m)
0.5
1.0

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