Problem 5: A pressurized tank of water has a 10-cm-diameter nozzle at the bottom, where the liquiddischarges to the atmosphere. The liquid level is 2.5 m above the outlet and the tank diameter can beassumed to be much larger than the diameter of the discharge nozzle. The air pressure in the spaceabove the liquid is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictionaleffects, determine the rate of discharge (kg/sec) of liquid from the tank when the liquid level is 2.5mAir250 kPa25m10 cm

Question
Asked Nov 6, 2019
6 views
Problem 5: A pressurized tank of water has a 10-cm-diameter nozzle at the bottom, where the liquid
discharges to the atmosphere. The liquid level is 2.5 m above the outlet and the tank diameter can be
assumed to be much larger than the diameter of the discharge nozzle. The air pressure in the space
above the liquid is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictional
effects, determine the rate of discharge (kg/sec) of liquid from the tank when the liquid level is 2.5m
Air
250 kPa
25m
10 cm
help_outline

Image Transcriptionclose

Problem 5: A pressurized tank of water has a 10-cm-diameter nozzle at the bottom, where the liquid discharges to the atmosphere. The liquid level is 2.5 m above the outlet and the tank diameter can be assumed to be much larger than the diameter of the discharge nozzle. The air pressure in the space above the liquid is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine the rate of discharge (kg/sec) of liquid from the tank when the liquid level is 2.5m Air 250 kPa 25m 10 cm

fullscreen
check_circle

Expert Answer

Step 1

Taking point 1 above liquid surface and point 2 just after nozzle exit.

R 250 kPa
Pressure at point 1, P
250 kPa
Pressure at point 2, P 100 kPa
Potential head at 1, Z 2.5 m
Z1-2.5m
Potential head at 2, Z, = 0 m
10 cm
2 Z2 0
Diameter of nozzle is, d 10 cm
P 100 kPa
=
help_outline

Image Transcriptionclose

R 250 kPa Pressure at point 1, P 250 kPa Pressure at point 2, P 100 kPa Potential head at 1, Z 2.5 m Z1-2.5m Potential head at 2, Z, = 0 m 10 cm 2 Z2 0 Diameter of nozzle is, d 10 cm P 100 kPa =

fullscreen
Step 2

The principle of conservation of energy in fluid flow is given by Bernoulli’s equation. Bernoulli’s equation can be applied between two points for the same streamlines for inviscid flow. Hence, applying Bernoulli’s equation between 1 & 2.

Р.
+Z
Pg 2g
Where and V is velocity of
water at 1 and 2 respectively
V
+Z2
Pg 2g
Dd
Where D is diameter of tank
and d is diameter of nozzle
area is directely proportional to
square of diamter
. Area of tank is too much
larger than area ofnozzle
help_outline

Image Transcriptionclose

Р. +Z Pg 2g Where and V is velocity of water at 1 and 2 respectively V +Z2 Pg 2g Dd Where D is diameter of tank and d is diameter of nozzle area is directely proportional to square of diamter . Area of tank is too much larger than area ofnozzle

fullscreen
Step 3

From conservation of m...

m pAV pA,V
Where is A & V are area and velocity respectively
PAV pA,V
:4>> A
Therfore, velocity at 1 can be taken to be zero.
help_outline

Image Transcriptionclose

m pAV pA,V Where is A & V are area and velocity respectively PAV pA,V :4>> A Therfore, velocity at 1 can be taken to be zero.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Mechanical Engineering

Fluid Mechanics

Related Mechanical Engineering Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: True or False: You can only use the REDO command immediately after using the UNDO command.

A: The UNDO command takes back the work in a drawing session whereas the REDO command will take the wor...

question_answer

Q: Carbon Dioxide is contained in a piston-cylinder assembly and undergoes a cycle made of the fol- low...

A: Given data as per question

question_answer

Q: To study the performance of a race car, a high-speed camera is positioned at point A. The camera is ...

A: Given that:

question_answer

Q: An emergency situation has arisen in the milling department, because the ship carrying a certain qua...

A: Given data,

question_answer

Q: 3-20 Water is boiling in a 25-cm-diameter aluminum pan (k 237 W/m K) at 95°C. Heat is transferred st...

A: Assumption:Consider system as Steady state and one dimensional since the thickness of the pan is ver...

question_answer

Q: The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tensionof 40 kN...

A: Consider the following free body diagram:Cx and Cy are the vertical and horizontal reactions are the...

question_answer

Q: The uniform concrete block has a weight of 300 lb. The coefficients of static friction are μA = 0.2,...

A: Given data as per question

question_answer

Q: I need answers to questions 4, 5, and 6 pertaining to the print provided. Note: A tutor keeps puttin...

A: Answer to question no. 4The overall dimension of this part (diameter x length) are Ø1.5 units x 1.89...

question_answer

Q: the transfer clutch in the all-wheel-drive automatic transaxle takes the place of the _________?  A....

A: All-wheel drive system helps to transmit torque to all the wheels equally. As like four-wheel drive,...