Difference in liquid level in three compound pipes with same friction coefficient Calculator

✖Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.ⓘ Coefficient of Friction of Pipe [μ]			+10% -10%
✖The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 1 [L₁]			+10% -10%
✖Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.ⓘ Velocity at Point 1 [V₁]			+10% -10%
✖The Diameter of Pipe 1 is the cross-sectional length of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe 1 [d₁]			+10% -10%
✖The Length of Pipe 2 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 2 [L₂]			+10% -10%
✖velocity at Point 2 is the velocity of fluid passing through point 2 in a flow.ⓘ Velocity at Point 2 [V₂]			+10% -10%
✖The Diameter of Pipe 2 is the cross-sectional length of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe 2 [d₂]			+10% -10%
✖The Length of Pipe 3 describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe 3 [L₃]			+10% -10%
✖The Velocity at point 3 is the velocity of fluid passing through pipe 1.ⓘ Velocity at Point 3 [V₃]			+10% -10%
✖The Diameter of Pipe 3 is the cross-sectional length of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe 3 [d₃]			+10% -10%

✖The Difference in liquid level is a variable in discharge through the fully submerged orifice.ⓘ Difference in liquid level in three compound pipes with same friction coefficient [H]

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Formula

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Difference in liquid level in three compound pipes with same friction coefficient

Formula

`"H" = (4*"μ"/(2*"[g]"))*(("L"_{"1"}*"V"_{"1"}^2/"d"_{"1"})+("L"_{"2"}*"V"_{"2"}^2/"d"_{"2"})+("L"_{"3"}*"V"_{"3"}^2/"d"_{"3"}))`

Example

`"5483.94m"=(4*"0.01"/(2*"[g]"))*(("120m"*("58.03m/s")^2/"0.3m")+("80m"*("57.91m/s")^2/"0.2m")+("95m"*("1.5m/s")^2/"0.4m"))`

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Difference in liquid level in three compound pipes with same friction coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3))
H = (4*μ/(2*[g]))*((L₁*V₁^2/d₁)+(L₂*V₂^2/d₂)+(L₃*V₃^2/d₃))
This formula uses 1 Constants, 11 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Difference in Liquid Level - (Measured in Meter) - The Difference in liquid level is a variable in discharge through the fully submerged orifice.
Coefficient of Friction of Pipe - Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.
Length of Pipe 1 - (Measured in Meter) - The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing.
Velocity at Point 1 - (Measured in Meter per Second) - Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.
Diameter of Pipe 1 - (Measured in Meter) - The Diameter of Pipe 1 is the cross-sectional length of the pipe in which the liquid is flowing.
Length of Pipe 2 - (Measured in Meter) - The Length of Pipe 2 describes the length of the pipe in which the liquid is flowing.
Velocity at Point 2 - (Measured in Meter per Second) - velocity at Point 2 is the velocity of fluid passing through point 2 in a flow.
Diameter of Pipe 2 - (Measured in Meter) - The Diameter of Pipe 2 is the cross-sectional length of the pipe in which the liquid is flowing.
Length of Pipe 3 - (Measured in Meter) - The Length of Pipe 3 describes the length of the pipe in which the liquid is flowing.
Velocity at Point 3 - (Measured in Meter per Second) - The Velocity at point 3 is the velocity of fluid passing through pipe 1.
Diameter of Pipe 3 - (Measured in Meter) - The Diameter of Pipe 3 is the cross-sectional length of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe 1: 120 Meter --> 120 Meter No Conversion Required
Velocity at Point 1: 58.03 Meter per Second --> 58.03 Meter per Second No Conversion Required
Diameter of Pipe 1: 0.3 Meter --> 0.3 Meter No Conversion Required
Length of Pipe 2: 80 Meter --> 80 Meter No Conversion Required
Velocity at Point 2: 57.91 Meter per Second --> 57.91 Meter per Second No Conversion Required
Diameter of Pipe 2: 0.2 Meter --> 0.2 Meter No Conversion Required
Length of Pipe 3: 95 Meter --> 95 Meter No Conversion Required
Velocity at Point 3: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Diameter of Pipe 3: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (4*μ/(2*[g]))*((L₁*V₁^2/d₁)+(L₂*V₂^2/d₂)+(L₃*V₃^2/d₃)) --> (4*0.01/(2*[g]))*((120*58.03^2/0.3)+(80*57.91^2/0.2)+(95*1.5^2/0.4))

Evaluating ... ...

H = 5483.93992851789

STEP 3: Convert Result to Output's Unit

5483.93992851789 Meter --> No Conversion Required

FINAL ANSWER

5483.93992851789 ≈ 5483.94 Meter <-- Difference in Liquid Level

(Calculation completed in 00.004 seconds)

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< 14 Pressure and Flow Head Calculators

Difference in liquid level in three compound pipes with same friction coefficient

Go Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3))

Pressure rise for sudden closure of valve in elastic pipe

Go Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe))))))

Loss of Head due to Obstruction in Pipe

Go Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2

Total head at inlet of pipe for head available at base of nozzle

Go Total Head at Inlet of Pipe = Head Base of Nozzle+(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))

Head available at Base of Nozzle

Go Head Base of Nozzle = Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))

Loss of head in equivalent pipe

Go Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])

Intensity of pressure wave produced for gradual closure of valves

Go Intensity of Pressure of Wave = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Time Required to Close Valve

Loss of Head due to Sudden Contraction

Go Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2

Loss of head due to sudden enlargement at any particular section of pipe

Go Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g])

Loss of Head due to Bend in Pipe

Go Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g])

Total head available at inlet of pipe for efficiency of power transmission

Go Total Head at Inlet of Pipe = Head Loss Due to Friction in Pipe/(1-Efficiency for Pipe)

Head Loss due to Friction for Efficiency of Power Transmission

Go Head Loss Due to Friction in Pipe = Total Head at Inlet of Pipe*(1-Efficiency for Pipe)

Loss of Head at Entrance of Pipe

Go Head Loss at Pipe Entrance = 0.5*(Flow Velocity through Pipe^2)/(2*[g])

Loss of head at exit of pipe

Go Head Loss at Pipe Exit = (Flow Velocity through Pipe^2)/(2*[g])

Difference in liquid level in three compound pipes with same friction coefficient Formula

What is coefficient of friction?

The coefficient of friction is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

What is meant by flow through pipes in series?

The pipes in series or compound pipes are defined as the pipes of different lengths, different diameters connected en to end (in series) to form a pipeline.

How to Calculate Difference in liquid level in three compound pipes with same friction coefficient?

Difference in liquid level in three compound pipes with same friction coefficient calculator uses Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3)) to calculate the Difference in Liquid Level, The Difference in liquid level in three compound pipes with same friction coefficient formula is known while considering the length, diameter, and velocity of flow in pipes 1,2, and 3 along with the same coefficient of friction. Difference in Liquid Level is denoted by H symbol.

How to calculate Difference in liquid level in three compound pipes with same friction coefficient using this online calculator? To use this online calculator for Difference in liquid level in three compound pipes with same friction coefficient, enter Coefficient of Friction of Pipe (μ), Length of Pipe 1 (L₁), Velocity at Point 1 (V₁), Diameter of Pipe 1 (d₁), Length of Pipe 2 (L₂), Velocity at Point 2 (V₂), Diameter of Pipe 2 (d₂), Length of Pipe 3 (L₃), Velocity at Point 3 (V₃) & Diameter of Pipe 3 (d₃) and hit the calculate button. Here is how the Difference in liquid level in three compound pipes with same friction coefficient calculation can be explained with given input values -> 5483.94 = (4*0.01/(2*[g]))*((120*58.03^2/0.3)+(80*57.91^2/0.2)+(95*1.5^2/0.4)).

FAQ

What is Difference in liquid level in three compound pipes with same friction coefficient?

The Difference in liquid level in three compound pipes with same friction coefficient formula is known while considering the length, diameter, and velocity of flow in pipes 1,2, and 3 along with the same coefficient of friction and is represented as H = (4*μ/(2*[g]))*((L₁*V₁^2/d₁)+(L₂*V₂^2/d₂)+(L₃*V₃^2/d₃)) or Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3)). Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid, The Length of Pipe 1 describes the length of the pipe in which the liquid is flowing, Velocity at Point 1 is the velocity of fluid passing through point 1 in flow, The Diameter of Pipe 1 is the cross-sectional length of the pipe in which the liquid is flowing, The Length of Pipe 2 describes the length of the pipe in which the liquid is flowing, velocity at Point 2 is the velocity of fluid passing through point 2 in a flow, The Diameter of Pipe 2 is the cross-sectional length of the pipe in which the liquid is flowing, The Length of Pipe 3 describes the length of the pipe in which the liquid is flowing, The Velocity at point 3 is the velocity of fluid passing through pipe 1 & The Diameter of Pipe 3 is the cross-sectional length of the pipe in which the liquid is flowing.

How to calculate Difference in liquid level in three compound pipes with same friction coefficient?

The Difference in liquid level in three compound pipes with same friction coefficient formula is known while considering the length, diameter, and velocity of flow in pipes 1,2, and 3 along with the same coefficient of friction is calculated using Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3)). To calculate Difference in liquid level in three compound pipes with same friction coefficient, you need Coefficient of Friction of Pipe (μ), Length of Pipe 1 (L₁), Velocity at Point 1 (V₁), Diameter of Pipe 1 (d₁), Length of Pipe 2 (L₂), Velocity at Point 2 (V₂), Diameter of Pipe 2 (d₂), Length of Pipe 3 (L₃), Velocity at Point 3 (V₃) & Diameter of Pipe 3 (d₃). With our tool, you need to enter the respective value for Coefficient of Friction of Pipe, Length of Pipe 1, Velocity at Point 1, Diameter of Pipe 1, Length of Pipe 2, Velocity at Point 2, Diameter of Pipe 2, Length of Pipe 3, Velocity at Point 3 & Diameter of Pipe 3 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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