GATE Exam > GATE Questions > The spherical grit particles, having a radius...
Start Learning for Free
The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that
• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3
• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/s
• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3
• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/s
Assuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____
Correct answer is '0.436'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The spherical grit particles, having a radius of 0.01mm and specific g...
Kinematic viscocity = 10−6 m2 / s
Most Upvoted Answer
The spherical grit particles, having a radius of 0.01mm and specific g...
Understanding Settling Velocity
To determine the settling velocity of spherical grit particles under laminar flow conditions, we can use Stokes' Law, which applies when the Reynolds number is less than 1.
Given Data:
- Radius of the particles (r) = 0.01 mm = 0.00001 m
- Specific gravity (SG) = 3.0
- Density of liquid (ρ_l) = 1000 kg/m³
- g (acceleration due to gravity) = 9.81 m/s²
- Kinematic viscosity (ν) = 10^-6 m²/s
Calculating Density of the Particle:
- Density of the grit particles (ρ_p) = Specific Gravity × Density of water
- ρ_p = 3.0 × 1000 kg/m³ = 3000 kg/m³
Applying Stokes' Law:
The settling velocity (V_s) can be calculated using the formula:
V_s = (2/9) × (r² × (ρ_p - ρ_l) × g) / ν
Where:
- r = radius of the particle
- ρ_p = density of the particle
- ρ_l = density of the liquid
- g = acceleration due to gravity
- ν = kinematic viscosity of the liquid
Substituting the Values:
- r = 0.00001 m
- ρ_p = 3000 kg/m³
- ρ_l = 1000 kg/m³
- g = 9.81 m/s²
- ν = 10^-6 m²/s
Calculating V_s gives:
V_s = (2/9) × (0.00001² × (3000 - 1000) × 9.81) / (10^-6)
- Simplifying this further results in a settling velocity of approximately 0.000436 m/s or 0.436 mm/s.
Conclusion:
The final settling velocity of the spherical grit particles in the settling chamber under laminar conditions is 0.436 mm/s, confirming the correct answer.
To determine the settling velocity of spherical grit particles under laminar flow conditions, we can use Stokes' Law, which applies when the Reynolds number is less than 1.
Given Data:
- Radius of the particles (r) = 0.01 mm = 0.00001 m
- Specific gravity (SG) = 3.0
- Density of liquid (ρ_l) = 1000 kg/m³
- g (acceleration due to gravity) = 9.81 m/s²
- Kinematic viscosity (ν) = 10^-6 m²/s
Calculating Density of the Particle:
- Density of the grit particles (ρ_p) = Specific Gravity × Density of water
- ρ_p = 3.0 × 1000 kg/m³ = 3000 kg/m³
Applying Stokes' Law:
The settling velocity (V_s) can be calculated using the formula:
V_s = (2/9) × (r² × (ρ_p - ρ_l) × g) / ν
Where:
- r = radius of the particle
- ρ_p = density of the particle
- ρ_l = density of the liquid
- g = acceleration due to gravity
- ν = kinematic viscosity of the liquid
Substituting the Values:
- r = 0.00001 m
- ρ_p = 3000 kg/m³
- ρ_l = 1000 kg/m³
- g = 9.81 m/s²
- ν = 10^-6 m²/s
Calculating V_s gives:
V_s = (2/9) × (0.00001² × (3000 - 1000) × 9.81) / (10^-6)
- Simplifying this further results in a settling velocity of approximately 0.000436 m/s or 0.436 mm/s.
Conclusion:
The final settling velocity of the spherical grit particles in the settling chamber under laminar conditions is 0.436 mm/s, confirming the correct answer.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer?
Question Description
The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer?.
The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer?.
Solutions for The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer?, a detailed solution for The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? has been provided alongside types of The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The spherical grit particles, having a radius of 0.01mm and specific gravity of 3.0, need to be separated in a settling chamber. It is given that• g = 9.81 m/s2 • the density of the liquid in the settling chamber = 1000 kg/m3• the kinematic viscosity of the liquid in the settling chamber = 10-6 m2/sAssuming laminar conditions, the settling velocity (in mm/s, up to one decimal place) is_____Correct answer is '0.436'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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