3. (a) As shown in Figure P3(a), water flows in a rectangular channel which is 5.0 m wide. The upstream depth is 60 mm. The water surface rises by 40 mm as it passes over a portion where the channel bottom rises by 15 mm. Neglecting viscous effects, what is the volume flowrate Q? [Ans: 0.390 m³/s] 3. (b) Q |⁹ 9 V₁ = 10 m/s 60 mm Figure P3(a) As shown in Figure P3(b), water flows up a ramp with negligible viscous losses. The upstream depth and velocity are maintained at h₁ = 1 m and V₁ = 10 m/s, respectively. The ramp height is H = 2 m. Obtain an expression for the downstream depth h₂. Optional: Solve for possible values of the downstream depth h2. [Ans: 19.62h2 -80.38h² +100=0; h₂= 3.731 m, 1.366 m] 9 h₁ = 1 m 100 mm Figure P3(b) 15 mm h₂ H=2m V₂

3. (a) As shown in Figure P3(a), water flows in a rectangular channel which is 5.0 m wide. The upstream depth is 60 mm. The water surface rises by 40 mm as it passes over a portion where the channel bottom rises by 15 mm. Neglecting viscous effects, what is the volume flowrate Q? [Ans: 0.390 m³/s] 3. (b) Q |⁹ 9 V₁ = 10 m/s 60 mm Figure P3(a) As shown in Figure P3(b), water flows up a ramp with negligible viscous losses. The upstream depth and velocity are maintained at h₁ = 1 m and V₁ = 10 m/s, respectively. The ramp height is H = 2 m. Obtain an expression for the downstream depth h₂. Optional: Solve for possible values of the downstream depth h2. [Ans: 19.62h2 -80.38h² +100=0; h₂= 3.731 m, 1.366 m] 9 h₁ = 1 m 100 mm Figure P3(b) 15 mm h₂ H=2m V₂

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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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

3. (a)
3. (b)
As shown in Figure P3(a), water flows in a rectangular channel which is
5.0 m wide. The upstream depth is 60 mm. The water surface rises by 40
mm as it passes over a portion where the channel bottom rises by 15 mm.
Neglecting viscous effects, what is the volume flowrate Q?
[Ans: 0.390 m³/s]
Q
9
V₁ = 10 m/s
60 mm
Figure P3(a)
As shown in Figure P3(b), water flows up a ramp with negligible viscous
losses. The upstream depth and velocity are maintained at h₁ = 1 m and
V₁ = 10 m/s, respectively. The ramp height is H = 2 m. Obtain an
expression for the downstream depth h₂.
Optional: Solve for possible values of the downstream depth h₂.
[Ans: 19.62h2 -80.38h2 +100=0; h₂= 3.731 m, 1.366 m]
9
h₁=1 m
100 mm
Figure P3(b)
15 mm
ņ2
H = 2m
V₂

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