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A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.?
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A smooth pipe of diameter 80mm and 800m carries water at the rate of ...
- **Given Parameters:**
- Diameter of pipe (D) = 80mm
- Length of pipe (L) = 800m
- Flow rate (Q) = 0.480 m^3/min
- **Calculations:**
1. **Centre Line Velocity (V):**
- Area of the pipe (A) = π*(D/2)^2
- V = Q/A
2. **Reynolds Number (Re):**
- Re = ρ*V*D/μ, where ρ is the density of water and μ is the dynamic viscosity of water.
3. **Head Loss (hL):**
- hL = f*(L/D)*(V^2/2g), where f is the Darcy-Weisbach friction factor and g is the acceleration due to gravity.
4. **Wall Shear Stress (τw):**
- τw = f*(ρ*V^2)/2, where ρ is the density of water.
5. **Velocity and Shear Stress at 30mm from the wall:**
- Use the concept of velocity profile in a fully developed turbulent flow to calculate the velocity and shear stress at a distance of 30mm from the wall.
- **Discussion:**
- The centre line velocity, head loss, wall shear stress, and velocity/shear stress at a distance from the wall can be calculated using the given parameters and relevant equations in fluid mechanics.
- These calculations help in understanding the flow characteristics and losses in the pipe, which are crucial for designing efficient piping systems in various engineering applications.
- Diameter of pipe (D) = 80mm
- Length of pipe (L) = 800m
- Flow rate (Q) = 0.480 m^3/min
- **Calculations:**
1. **Centre Line Velocity (V):**
- Area of the pipe (A) = π*(D/2)^2
- V = Q/A
2. **Reynolds Number (Re):**
- Re = ρ*V*D/μ, where ρ is the density of water and μ is the dynamic viscosity of water.
3. **Head Loss (hL):**
- hL = f*(L/D)*(V^2/2g), where f is the Darcy-Weisbach friction factor and g is the acceleration due to gravity.
4. **Wall Shear Stress (τw):**
- τw = f*(ρ*V^2)/2, where ρ is the density of water.
5. **Velocity and Shear Stress at 30mm from the wall:**
- Use the concept of velocity profile in a fully developed turbulent flow to calculate the velocity and shear stress at a distance of 30mm from the wall.
- **Discussion:**
- The centre line velocity, head loss, wall shear stress, and velocity/shear stress at a distance from the wall can be calculated using the given parameters and relevant equations in fluid mechanics.
- These calculations help in understanding the flow characteristics and losses in the pipe, which are crucial for designing efficient piping systems in various engineering applications.
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A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.?
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A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.?.
A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A smooth pipe of diameter 80mm and 800m carries water at the rate of 0.480 m^3/min.Calculate the head loss, wall shearing stress, centre line velocity, velocity and shear stress at 30mm from the pipe wall.?.
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