Chemical Engineering Exam > Chemical Engineering Questions > Which of the following represents the correct...
Start Learning for Free
Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?
- a)f = 150* ((1-e) /R2) +1.75
- b)f = 150* ((1-e) /R) +1.75
- c)f = 150* ((1-e) /R3) +1.75
- d)f = 150* ((1-e2) /R) +1.75
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which of the following represents the correct relation between dimensi...
Explanation: The correct relation between dimensionless friction factor and Reynolds number is given by f = 150* ((1-e) /R) +1.75 Where R is the Reynolds number and the expression (1-e) represents the volume of solids.
Most Upvoted Answer
Which of the following represents the correct relation between dimensi...
The correct answer is option 'B': f = 150* ((1-e) /R) 1.75
To understand why option 'B' represents the correct relation between dimensionless friction factor (f) and Reynolds number (R), let's break down the equation and discuss each component:
1. Reynolds Number (R):
The Reynolds number is a dimensionless quantity used to determine the flow regime of a fluid. It represents the ratio of inertial forces to viscous forces and is defined as:
R = (ρ * v * D) / μ
where:
- ρ is the density of the fluid
- v is the velocity of the fluid
- D is the characteristic length or diameter
- μ is the dynamic viscosity of the fluid
2. Friction Factor (f):
The friction factor (f) is a dimensionless quantity used to characterize the resistance to flow in a pipe or conduit. It is influenced by several factors, including the roughness of the pipe surface, the flow regime, and the Reynolds number. In general, the friction factor decreases as the Reynolds number increases.
3. Equation in Option 'B':
f = 150 * ((1-e) / R) ^ 1.75
- The term ((1-e) / R) represents the ratio of the effective roughness height to the Reynolds number. It takes into account the impact of surface roughness on the friction factor.
- The exponent 1.75 is an empirical value that has been determined through experiments and correlations for various flow regimes.
Why Option 'B' is Correct:
- The equation in option 'B' is based on the empirical correlation for the friction factor in fully developed turbulent flow in smooth pipes. This correlation is known as the Blasius correlation.
- The Blasius correlation is widely used and has been validated by numerous experimental data for a wide range of Reynolds numbers.
- The equation accounts for the impact of surface roughness (e) and the Reynolds number (R) on the friction factor (f).
- By including the term ((1-e) / R) in the equation, option 'B' correctly represents the inverse relationship between the friction factor and the Reynolds number. As the Reynolds number increases, the friction factor decreases.
- The exponent 1.75 in the equation is a constant that has been determined through experiments and is specific to the Blasius correlation.
In conclusion, option 'B' represents the correct relation between the dimensionless friction factor (f) and Reynolds number (R) by accounting for the impact of surface roughness and the inverse relationship between the two variables.
To understand why option 'B' represents the correct relation between dimensionless friction factor (f) and Reynolds number (R), let's break down the equation and discuss each component:
1. Reynolds Number (R):
The Reynolds number is a dimensionless quantity used to determine the flow regime of a fluid. It represents the ratio of inertial forces to viscous forces and is defined as:
R = (ρ * v * D) / μ
where:
- ρ is the density of the fluid
- v is the velocity of the fluid
- D is the characteristic length or diameter
- μ is the dynamic viscosity of the fluid
2. Friction Factor (f):
The friction factor (f) is a dimensionless quantity used to characterize the resistance to flow in a pipe or conduit. It is influenced by several factors, including the roughness of the pipe surface, the flow regime, and the Reynolds number. In general, the friction factor decreases as the Reynolds number increases.
3. Equation in Option 'B':
f = 150 * ((1-e) / R) ^ 1.75
- The term ((1-e) / R) represents the ratio of the effective roughness height to the Reynolds number. It takes into account the impact of surface roughness on the friction factor.
- The exponent 1.75 is an empirical value that has been determined through experiments and correlations for various flow regimes.
Why Option 'B' is Correct:
- The equation in option 'B' is based on the empirical correlation for the friction factor in fully developed turbulent flow in smooth pipes. This correlation is known as the Blasius correlation.
- The Blasius correlation is widely used and has been validated by numerous experimental data for a wide range of Reynolds numbers.
- The equation accounts for the impact of surface roughness (e) and the Reynolds number (R) on the friction factor (f).
- By including the term ((1-e) / R) in the equation, option 'B' correctly represents the inverse relationship between the friction factor and the Reynolds number. As the Reynolds number increases, the friction factor decreases.
- The exponent 1.75 in the equation is a constant that has been determined through experiments and is specific to the Blasius correlation.
In conclusion, option 'B' represents the correct relation between the dimensionless friction factor (f) and Reynolds number (R) by accounting for the impact of surface roughness and the inverse relationship between the two variables.
|
Explore Courses for Chemical Engineering exam
|
|
Similar Chemical Engineering Doubts
Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer?
Question Description
Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer?.
Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemical Engineering.
Download more important topics, notes, lectures and mock test series for Chemical Engineering Exam by signing up for free.
Here you can find the meaning of Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following represents the correct relation between dimensionless friction factor f and Reynolds number?a)f = 150* ((1-e) /R2) +1.75b)f = 150* ((1-e) /R) +1.75c)f = 150* ((1-e) /R3) +1.75d)f = 150* ((1-e2) /R) +1.75Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Chemical Engineering tests.
|
|
Explore Courses for Chemical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup