VIPSolutionsreviipee Re ia NEES 8 re AEE Rl N Te aii Y= tw SN § [Arenas er Stabe - = “i 47 obey.) “3 Bz 2m E Top wj, Ee ys 1am E ad He ie Area = BY + B22 (4 vam) 4 = 4nd : 2 = 2:44 = 3m? Swe, B= AV So 24 = By oo EW + 0 c Veo Tita) Froud Nuwdber, Fie =r fic 3) IG 10 de = 2.8% 0 Now, Ye ~R Bateugers Mowe tum €qua tion | Yy 2 a sp Yi - ve [Tow = ee AE : L 7 La Fon Gy = Rm Er EL opted = Site i Bo clio bgaadlis Tee (re RNR HO 1 REE I To pe TDA A sii CRB al eel : 2 igs fis foi Ea ee Ee Lg » gir. ~~ Frackion gs loss = TE rad a 2d Gas) : = ve = 32M eo E = 3.497 Ea a =n E a 10:69 +, fi: 4 3 | 4 kL Br Bb pr He Ee & 59 pe HR ER NY a Fe
Question:
reviipee Re
ia NEES 8 re AEE
Rl N Te
aii Y= tw SN § [Arenas
er Stabe - = “i
47 obey.) “3 Bz 2m E
Top wj, Ee
ys 1am E
ad He ie
Area = BY + B22 (4 vam) 4
= 4nd :
2
= 2:44
= 3m?
Swe, B= AV
So 24 = By oo EW
+ 0 c Veo
Tita) Froud Nuwdber, Fie =r
fic
3)
IG 10
de
= 2.8%
0 Now, Ye ~R Bateugers Mowe tum €qua tion |
Yy 2 a
sp Yi - ve [Tow =
ee AE
: L 7 La
Fon Gy = Rm Er
EL opted = Site i
Bo clio bgaadlis Tee
(re RNR HO 1 REE
I To pe TDA A
sii CRB
al eel : 2 igs fis foi Ea
ee Ee Lg » gir.
~~ Frackion gs loss = TE rad a
2d Gas) : =
ve = 32M eo E
= 3.497 Ea
a =n E
a 10:69 +, fi:
4
3
|
4
kL Br
Bb pr
He Ee &
59 pe
HR ER NY a Fe
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Asked by: Md Israrul Haque
Created at: 2025-10-21 22:51:40
Asked by: Md Israrul Haque
Created at: 2025-10-21 22:51:40
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The images contain handwritten notes and calculations related to physics, specifically energy, velocity, and fluid mechanics.
### Summary of Key Calculations
#### First Image:
- **Given Data:**
- \(\theta = 21^\circ\)
- \(B = 2\,m\)
- \(y_1 = 1\,m\)
- Slope = 1:1 (i.e., \(n = 1\))
- **Top width:**
\[
\text{Top width} = B + 2 \times y_1 = 2 + 2 \times 1 = 4\,m
\]
- **Area:**
\[
\text{Area} = B \times y_1 + 2 \times \left(\frac{1}{2} \times y_1 \times x\right) = 2 \times 1 + 2 \times \frac{1}{2} \times 1 \times 1 = 2 + 1 = 3\,m^2
\]
- **Velocity (\(V_1\)):**
\[
s_ = 21^\circ \Rightarrow V_1 = 7\,m/s
\]
- **Initial Froude Number (\(Fr_1\)):**
\[
Fr_1 = \frac{V_1}{\sqrt{gA}} = \frac{7}{\sqrt{9.81 \times 3}} \approx 2.58
\]
- **Froude number ratio:**
\[
\frac{y_2}{y_1} = \frac{-1 + \sqrt{1 + 8 \times Fr_1^2}}{2} \approx 3.184\,m
\]
- **Depth at downstream (\(y_2\)):**
\[
y_2 \approx 3.184\,m
\]
- **Energy loss due to hydraulic jump:**
\[
E_L = \frac{(y_2 - y_1)^2}{4 \times y_2 \times y_1} \approx .374\,m
\]
- **Energy loss as a fraction:**
\[
\text{Fraction of energy loss} \approx 10.69\%
\]
---
### Summary of Focus:
- Calculation of flow parameters such as velocity, depth, and energy loss
- Use of Bernoulli's equation and Froude number relationships
- Hydraulic jump analysis
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