1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
QveST [7]
3 years ago
12

A drainage ditch alongside a highway with a 3% grade has a rectangular cross-section of depth 4 ft and width 8 ft, and is fully

packed with fragments of effective diameter of 5 inches. The void fraction within the drainage ditch is 0.42. During a rainstorm, what is the maximum capacity of the drainage ditch in gpm if the water just reaches the top of the ditch?
Engineering
1 answer:
bekas [8.4K]3 years ago
4 0

To solve the problem it is necessary to use the concepts related to frictional dissipation per unit mass, energy balance equation and Volumetric flow rate.

The frictional dissipation per unit mass is defined as

F = \frac{150u_0\mu L(1-\epsilon)^2}{\rho D^2_p\epsilon^3}+1.75\frac{u_0^2L(1-\epsilon)}{D_p\epsilon^3}

Where,

u_0 = Superficial velocity of fluid

\mu = Fluid viscoisty

\epsilon = Porosity

\rho = Fluid density

L = Packed bed length

D_p = Effective particle diameter

Through energy balance equation we have that

\Delta\frac{u^2}{2}+g\Delta z+\frac{\Delta p}{\rho}+w+F=0

Neglect the change in velocity and pressure and the work done we have,

g\Delta z+F = 0

g\Delta z+\frac{150u_0\mu L(1-\epsilon)^2}{\rho D^2_p\epsilon^3}+1.75\frac{u_0^2L(1-\epsilon)}{D_p\epsilon^3}=0

g\frac{\Delta z}{L}+\frac{150u_0\mu (1-\epsilon)^2}{\rho D^2_p\epsilon^3}+1.75\frac{u_0^2(1-\epsilon)}{D_p\epsilon^3}=0

We have also that de grade is defined as

tan\theta = \frac{\Delta z}{L}

tan\theta = 0.03

With our values and replacing at the previous equation we have,

(32.17)(-0.03)+\frac{150u_0(0.000672) (1-0.42)^2}{62.3 (0.417)^2 (0.42)^3}+1.75\frac{u_0^2(1-0.42)}{(0.417)(0.42)^3}=0

32.85u_0^2+0.04225u_0-0.9651=0

u_0 = 0.171ft/s

Previously with the given depth and height we have to

A=4*8

A=32ft^2

Therefore the Volumetric flow rate,

Q=u_0A

Q=(0.171ft/s)(32ft^2)(60s/1min)(1gal/0.133681ft^3)

Q= 2456gal/min

Therefore the desired volumetric flow rate is 2456gal/min

You might be interested in
I accidently peed my pants help me change me pls
nataly862011 [7]

Answer: *changed*

Explanation: Because you peed

3 0
3 years ago
Read 2 more answers
Joe is a chemical engineer whose plant discharges heavy metals into the local river. By the test authorized by the city governme
chubhunter [2.5K]

Answer:

B probably

Explanation:

Because the prompt doesn't specify what sort of violation it could be anything maybe when they release the metals during the day and so on.

5 0
2 years ago
THE COMPUND INTEREST ON RS 30,000AT 7% PER ANNUM IS RS 4347 THE PERIOD IN YEARS
timofeeve [1]

Answer:

what wym

Explanation:

4 0
3 years ago
Read 2 more answers
What precautions should be taken to avoid the overloading of domestic electric circuits.
madam [21]

The precautions that should be taken to avoid the overloading of domestic electric circuits are:

  1. Do not put high voltage wires in one socket.
  2. Do not use many electric appliances of high power at the same time.
<h3>What are electric circuits?</h3>

Electric circuits are wires or devices that give electricity to devices that run on electricity. Running of electric devices should be done carefully because our body can come in contact with the current.

Thus, the precautions are to keep high voltage lines away from one socket. Use only a few high-power electric appliances at once.

To learn more about electric circuits, refer to the below link:

brainly.com/question/28221759

#SPJ4

4 0
2 years ago
Source of energy in wind power <br><br>​
ohaa [14]

The energy in which wind is used to generate electricity is known as wind energy. Wind turbines convert the kinetic energy in the wind into mechanical power. This mechanical power is then used for various purposes. Wind energy is a free and renewable resource. It is a clean and non-polluting source of energy.

3 0
2 years ago
Other questions:
  • According to the article "Edward R. Murrow: Inventing Broadcast Journalism," how did Murrow perceive the threat of Adolf Hitler?
    9·1 answer
  • If the Zener diode is connected<br>wrong polarity the voltage<br>across the load is?​
    11·1 answer
  • An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner’s 2.00 T field with his f
    5·1 answer
  • How many sets of equations (V and M equations) would you need to describe shear and moment as functions of x for this beam? In o
    12·1 answer
  • A seamless pipe 800mm diameter contains a fluid under a pressure of 2N/mm2. If the permissible tensile stress is 100N/mm2, find
    11·1 answer
  • Draw the sequence of BSTs that results when you insert the keys E, A, S, Y, Q, U, E, S, T, I, O, N, in that order into an initia
    10·1 answer
  • Traffic at a roundabout moves
    8·1 answer
  • Which of the following is a purpose of sports biomechanics?
    14·1 answer
  • What is 39483048^349374*3948048/3i4u4
    15·1 answer
  • PLEASE HELPPPPPPP!!!!,
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!