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1. A pipe 60 mm diameter and 450 m long slopes upwards at 1 in 50. An oil of viscosity `0.9 (Ns)/m^2` and specific gravity 0.9 is required to be pumped at rate of 5 litres/sec.
- (i) Is flow laminar?
- (ii) What pressure difference is required to attain this condition?
- (iii) What is power of pump required assuming an overall efficient of 65%?
- (iv) What is centre-line velocity and velocity gradient at pipe wall?
2. A liquid with a specific gravity `2.8` and a viscosity `0.8` poise flows through a smooth pipe of unknown diameter, resulting in a pressure drop of `800 N/m^2` in `2` km length of pipe. What is pipe diameter if mass flow rate is` 2500 (kg)/h`.
3. An oil (µ = 20 cP, ρ = 1200 kg/m3) flows through a 2.5 cm I.D. pipe 250 m long.
- What is maximum flow in `m^3/s` that will ensure laminar flow ?
- What would be pressure drop for this flow?
4. Oil of absolute viscosity 1.5 poise and density 848.3 kg/m3 flows through a ` 30` cm I.D. pipe. If head loss in `3000` m length of pipe is `20` m, assuming a laminar flow, determine :
- velocity,
- Reynolds number and
- friction factor (Fanning??s).
5. A fluid of density `1200 (kg)/m^3` and viscosity `0.5 `poise is flowing at a rate of `5m^3/( min)` in a circular pipe of cross-section of `1 m^2`. Is flow laminar or turbulent? Can you predict maximum velocity of fluid in pipe ?
6. In a pipe of 300 mm diameter, maximum velocity of flow is found to be 2 m/s. If flow is laminar,find:
- average velocity and radius at which it occurs
- velocity at 50mm from wall of pipe
7. An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If pressure drop in 100 m length of pipe is `1800 (kN)/m^2`, determine:
- The rate of flow of oil
- The centre line velocity
- The total frictional drag over 100 m length
- The power required to maintain flow
- The velocity gradient at pipe wall
- The velocity and shear stress at pipe wall
- The velocity and shear stress at 8mm from wall.
8. A total of 12 litres per second of oil is pumped through two pipes in parallel, one 12 cm in diameter and or 10 cm in diameter, both pipes being 1000 metres long. The specific gravity of oil is 0.97 and kinematic viscosity 9 `(cm)^2` per second. Calculate flow rate through each pipe and power of pump.
9. A crude oil of viscosity `0.9` poise and relative density `0.9` is flowing through a horizontal circular pipe of diameter `120` mm and length `12` m. Calculate difference of pressure at two ends of pipe, if `785 N` of oil is collected in a tank in` 25` seconds.
10. A lubricating oil of viscosity 1 poise and specific gravity 0.9 is pumped through
a 30 mm diameter pipe. If pressure drop per metre length of pipe is `20( kN)/m^2`, determine:
- The mass flow rate in kg/min,
- The shear stress at pipe wall,
- The Reynolds number of flow, and
- The power required per 50 m length of pipe to maintain flow.
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A pipe 60 mm diameter and 450 m long slopes upwards at 1 in 50. An oil of viscosity `0.9 (Ns)/m^2` and specific gravity 0.9 is required to be pumped at rate of 5 litres/sec.
- (i) Is flow laminar?
- (ii) What pressure difference is required to attain this condition?
- (iii) What is power of pump required assuming an overall efficient of 65%?
- (iv) What is centre-line velocity and velocity gradient at pipe wall?
A liquid with a specific gravity `2.8` and a viscosity `0.8` poise flows through a smooth pipe of unknown diameter, resulting in a pressure drop of `800 N/m^2` in `2` km length of pipe. What is pipe diameter if mass flow rate is` 2500 (kg)/h`.
An oil (µ = 20 cP, ρ = 1200 kg/m3) flows through a 2.5 cm I.D. pipe 250 m long.
- What is maximum flow in `m^3/s` that will ensure laminar flow ?
- What would be pressure drop for this flow?
Oil of absolute viscosity 1.5 poise and density 848.3 kg/m3 flows through a ` 30` cm I.D. pipe. If head loss in `3000` m length of pipe is `20` m, assuming a laminar flow, determine :
- velocity,
- Reynolds number and
- friction factor (Fanning??s).
A fluid of density `1200 (kg)/m^3` and viscosity `0.5 `poise is flowing at a rate of `5m^3/( min)` in a circular pipe of cross-section of `1 m^2`. Is flow laminar or turbulent? Can you predict maximum velocity of fluid in pipe ?
In a pipe of 300 mm diameter, maximum velocity of flow is found to be 2 m/s. If flow is laminar,find:
- average velocity and radius at which it occurs
- velocity at 50mm from wall of pipe
An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If pressure drop in 100 m length of pipe is `1800 (kN)/m^2`, determine:
- The rate of flow of oil
- The centre line velocity
- The total frictional drag over 100 m length
- The power required to maintain flow
- The velocity gradient at pipe wall
- The velocity and shear stress at pipe wall
- The velocity and shear stress at 8mm from wall.
A total of 12 litres per second of oil is pumped through two pipes in parallel, one 12 cm in diameter and or 10 cm in diameter, both pipes being 1000 metres long. The specific gravity of oil is 0.97 and kinematic viscosity 9 `(cm)^2` per second. Calculate flow rate through each pipe and power of pump.
A crude oil of viscosity `0.9` poise and relative density `0.9` is flowing through a horizontal circular pipe of diameter `120` mm and length `12` m. Calculate difference of pressure at two ends of pipe, if `785 N` of oil is collected in a tank in` 25` seconds.
A lubricating oil of viscosity 1 poise and specific gravity 0.9 is pumped through
a 30 mm diameter pipe. If pressure drop per metre length of pipe is `20( kN)/m^2`, determine:
- The mass flow rate in kg/min,
- The shear stress at pipe wall,
- The Reynolds number of flow, and
- The power required per 50 m length of pipe to maintain flow.
