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Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal places
Correct answer is between ','. Can you explain this answer?
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Consider a discrete particle in water condition. Given Reynolds numbe...
Given data:
Reynolds number (Re) = less than 0.5
Diameter of the particle (D) = 5 × 10^-3 cm
Specific gravity of the particle (s) = 2.65
Water temperature (T) = 20°C
Kinematic viscosity of water at 20°C (ν) = 1.01 × 10^-2 cm^2/sec
Formula used:
The settling velocity of a particle in water can be calculated using Stokes' law, which is given by:
V = (2/9) * ((s - 1) * g * D^2) / ν
Where:
V = settling velocity of the particle (cm/sec)
s = specific gravity of the particle
g = acceleration due to gravity (cm/sec^2)
D = diameter of the particle (cm)
ν = kinematic viscosity of water (cm^2/sec)
Calculation:
Given that the Reynolds number (Re) is less than 0.5, we can assume that the flow around the particle is laminar. In this case, Stokes' law is applicable.
Acceleration due to gravity (g) = 981 cm/sec^2
Using the given values in the formula, we can calculate the settling velocity as follows:
V = (2/9) * ((2.65 - 1) * 981 * (5 × 10^-3)^2) / (1.01 × 10^-2)
V ≈ 0.021 cm/sec
Answer:
The settling velocity of the discrete particle in water condition is approximately 0.021 cm/sec.
Reynolds number (Re) = less than 0.5
Diameter of the particle (D) = 5 × 10^-3 cm
Specific gravity of the particle (s) = 2.65
Water temperature (T) = 20°C
Kinematic viscosity of water at 20°C (ν) = 1.01 × 10^-2 cm^2/sec
Formula used:
The settling velocity of a particle in water can be calculated using Stokes' law, which is given by:
V = (2/9) * ((s - 1) * g * D^2) / ν
Where:
V = settling velocity of the particle (cm/sec)
s = specific gravity of the particle
g = acceleration due to gravity (cm/sec^2)
D = diameter of the particle (cm)
ν = kinematic viscosity of water (cm^2/sec)
Calculation:
Given that the Reynolds number (Re) is less than 0.5, we can assume that the flow around the particle is laminar. In this case, Stokes' law is applicable.
Acceleration due to gravity (g) = 981 cm/sec^2
Using the given values in the formula, we can calculate the settling velocity as follows:
V = (2/9) * ((2.65 - 1) * 981 * (5 × 10^-3)^2) / (1.01 × 10^-2)
V ≈ 0.021 cm/sec
Answer:
The settling velocity of the discrete particle in water condition is approximately 0.021 cm/sec.
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Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer?
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Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer?.
Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a discrete particle in water condition. Given Reynolds number is less than 0.5, the diameter and the specific gravity of the particle is 5 × 10-3 cm and 2.65 respectively, the water temperature is 20°C (kinematic viscosity of water at 20°C = 1.01 × 10-2 cm2/sec). What will be the setting velocity (cm/sec) of a discrete particle in water condition? (Answer up to two decimal placesCorrect answer is between ','. Can you explain this answer?.
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