ENGINEERING FUNDAMENTALS
ENGINEERING FUNDAMENTALS
6th Edition
ISBN: 9781337705011
Author: MOAVENI
Publisher: CENGAGE L
Question
Book Icon
Chapter 8, Problem 36P
To determine

Find the average velocity of the water leaving the tank.

Expert Solution & Answer
Check Mark

Answer to Problem 36P

The average velocity of the leaving water in the tank is 2.79fts_.

Explanation of Solution

Given data:

Refer to the Figure Problem 8.36 in the textbook, which shows the tank is filled by water using pipes 1 and 2.

The water level increases in the rate of 0.1 in/s.

The diameter of the tank is (dtank) 6 in.

Formula used:

Write the expression for the volume flow rate.

Q=VaverageAc (1)

Here,

Ac is cross-sectional area, and

Vaverage is average velocity.

Calculation:

Consider that the constant water density.

From the Figure Problem 8.35 in the textbook, write the volume flow rate expression for inlet and outlet volumetric flow rate expressions.

Q1+Q2Q3=Atankchangeintheheightofwatertime

Re-arrange the equation,

Q1+Q2Atankchangeintheheightofwatertime=Q3V1A1+V2A2Atankchangeintheheightofwatertime=V3A3[V1(π4)(d1)2+V2(π4)(d2)2(π4)(dtank)2(0.1ins)=V3(π4)(d3)2=Q3]{A=π4d2,and[changeintheheightofwater]time=0.1ins}

Refer to the Figure Problem 8.35 in the textbook, substitute 2fts for V1, 1.5fts for V2, 1 in. for d1, 1.75 in. for d2, 1.5 in. for d3, and 6 in. for dtank,

(2fts)(π4)(1in.)2+(1.5fts)(π4)(1.75in.)2(π4)(6in.)2(0.1in.s)=(V3)(π4)(1.5in.)2=Q3{[(2fts)(π4)(1ft12)2+(1.5fts)(π4)(1.75 ft12)2(π4)(6ft12)2(0.112fts)=(V3)(π4)(1.5ft12)2=Q3]}[1in.=112ft] 

Reduce the equation as follows,

0.0109ft3s+0.02505ft3s0.001636ft3s=0.01227ft2(V3)=Q30.0343ft3s=0.01227ft2(V3)=Q3

The values of Q3 and V3 are,

Q3=0.0343ft3s,

And

V3=0.0343ft3s0.01227ft2=2.79fts

Conclusion:

Hence, the average velocity of the leaving water in the tank is 2.79fts_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A tank 2.0 m by 2.5 m is filled with water through a 250-mm diameter pipe. Determine the average velocity of the flow from the pipe, if the water flowing at a constant rate fills the tank to a height of h = 3.2 m in 6 minutes. 0.955 m/s 0.882 m/s O 1.025 m/s 0.905 m/s
. A Pitot tube in the pipe in which air s flowing is connected to a manometer containingwater as shown in the figure. If the difference in water levels in the manometer is 87.5mm,what is the velocity of the flow in the pipe, assuming a tube coefficient, CP = 0.99?
Imagine that the water level in Problem 8.34 rises at a rate of 0.1 cm/s. Knowing the diameter of the tank is 15 cm, what is the average velocity of the water leaving the tank?
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Engineering Fundamentals: An Introduction to Engi...
Civil Engineering
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Cengage Learning