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Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.
Correct answer is between '0.48,0.56'. Can you explain this answer?
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Calculate the minimum velocity (m/sec) required to transport Coarse sa...
Where Vsc = self cleaning velocity or minimum velocity in m/sec
k = constant depend upon type of Particle present in the Sewage
f = friction factor
d = size of particle under consideration(m)
For inorganic solid i.e. Coarse sand
VSC1 = 0.389 m/sec
For organic solid
VSC2 = 0.523 m/s
Minimum velocity required will be maximum of VSC1 and VSC2
So, VSC = 0.523 m/sec
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Calculate the minimum velocity (m/sec) required to transport Coarse sa...
Problem Statement
Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids. Correct answer is between '0.48,0.56'.
Solution
Step 1: Calculate Reynolds number
Reynolds number (Re) = (velocity x diameter x density) / viscosity
For sand particles:
- Diameter (d) = 0.97 mm = 0.00097 m
- Specific gravity (s) = 2.59
- Density (ρ) = s x density of water = 2.59 x 1000 kg/m³ = 2590 kg/m³
- Viscosity (μ) = 0.001 Pa.s (for water at 20°C)
- Velocity (v) = ? (to be determined)
- Diameter of sewer (D) = 35 cm = 0.35 m
Re = (v x D x ρ) / μ = (v x 0.35 x 2590) / 0.001 = 906500v
For organic matter:
- Diameter (d) = 4.75 mm = 0.00475 m
- Specific gravity (s) = 1.42
- Density (ρ) = s x density of water = 1.42 x 1000 kg/m³ = 1420 kg/m³
- Viscosity (μ) = 0.001 Pa.s (for water at 20°C)
- Velocity (v) = ? (to be determined)
- Diameter of sewer (D) = 35 cm = 0.35 m
Re = (v x D x ρ) / μ = (v x 0.35 x 1420) / 0.001 = 497000v
Step 2: Calculate friction factor
Friction factor (f) = 0.04 (given)
Step 3: Calculate relative roughness
Relative roughness (ε/D) = 0.013 / 0.35 = 0.037
Step 4: Calculate particle Reynolds number
Particle Reynolds number (Rep) = (v x d x ρ) / μ
For sand particles:
Rep = (v x 0.00097 x 2590) / 0.001 = 2516v
For organic matter:
Rep = (v x 0.00475 x 1420) / 0.001 = 8033v
Step 5: Calculate critical velocity
Critical velocity (vc) = (k x g x d) / f
For sand particles:
- k = 0.05 (given)
- g = 9.81 m/s²
- d
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Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. Can you explain this answer?
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Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. 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 Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. 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 Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. Can you explain this answer?.
Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. 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 Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. 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 Calculate the minimum velocity (m/sec) required to transport Coarse sand through a sewer of 35 cm diameter with sand particles of 0.97 mm diameter and specific gravity 2.59, and organic matter of 4.75 mm average size with a specific gravity of 1.42. The friction factor for the sewer material may be assumed as 0.04 and roughness coefficient of 0.013. Consider k = 0.05 for inorganic solids and 0.07 for organic solids.Correct answer is between '0.48,0.56'. Can you explain this answer?.
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