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*Velocity at Point 1^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 2^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 3^2/Diameter of Pipe))
H = (4*μ/(2*[g]))*((L*V1^2/D)+(L*V2^2/D)+(L*V3^2/D))
This formula uses 1 Constants, 7 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 - (Measured in Meter) - Length of Pipe 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 - (Measured in Meter) - Diameter of Pipe is the length of the longest chord 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.
Velocity at Point 3 - (Measured in Meter per Second) - The Velocity at point 3 is the velocity of fluid passing through pipe 1.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction of Pipe: 0.01 --> No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
Velocity at Point 1: 58.03 Meter per Second --> 58.03 Meter per Second No Conversion Required
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Velocity at Point 2: 57.91 Meter per Second --> 57.91 Meter per Second No Conversion Required
Velocity at Point 3: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = (4*μ/(2*[g]))*((L*V1^2/D)+(L*V2^2/D)+(L*V3^2/D)) --> (4*0.01/(2*[g]))*((1200*58.03^2/0.12)+(1200*57.91^2/0.12)+(1200*1.5^2/0.12))
Evaluating ... ...
H = 137117.139899966
STEP 3: Convert Result to Output's Unit
137117.139899966 Meter --> No Conversion Required
FINAL ANSWER
137117.139899966 137117.1 Meter <-- Difference in Liquid Level
(Calculation completed in 00.004 seconds)

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Pressure and Flow Head Calculators

Difference in liquid level in three compound pipes with same friction coefficient
​ LaTeX ​ Go Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe*Velocity at Point 1^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 2^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 3^2/Diameter of Pipe))
Total head at inlet of pipe for head available at base of nozzle
​ LaTeX ​ Go Total Head at Inlet of Pipe = Head at 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
​ LaTeX ​ Go Head at 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]))
Total head available at inlet of pipe for efficiency of power transmission
​ LaTeX ​ Go Total Head at Inlet of Pipe = Head Loss Due to Friction in Pipe/(1-Efficiency for Pipe)

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

​LaTeX ​Go
Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe*Velocity at Point 1^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 2^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 3^2/Diameter of Pipe))
H = (4*μ/(2*[g]))*((L*V1^2/D)+(L*V2^2/D)+(L*V3^2/D))

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*Velocity at Point 1^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 2^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 3^2/Diameter of Pipe)) 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 (L), Velocity at Point 1 (V1), Diameter of Pipe (D), Velocity at Point 2 (V2) & Velocity at Point 3 (V3) 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 -> 137117.1 = (4*0.01/(2*[g]))*((1200*58.03^2/0.12)+(1200*57.91^2/0.12)+(1200*1.5^2/0.12)).

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]))*((L*V1^2/D)+(L*V2^2/D)+(L*V3^2/D)) or Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe*Velocity at Point 1^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 2^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 3^2/Diameter 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 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, Diameter of Pipe is the length of the longest chord 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 Velocity at point 3 is the velocity of fluid passing through pipe 1.
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*Velocity at Point 1^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 2^2/Diameter of Pipe)+(Length of Pipe*Velocity at Point 3^2/Diameter of Pipe)). 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 (L), Velocity at Point 1 (V1), Diameter of Pipe (D), Velocity at Point 2 (V2) & Velocity at Point 3 (V3). With our tool, you need to enter the respective value for Coefficient of Friction of Pipe, Length of Pipe, Velocity at Point 1, Diameter of Pipe, Velocity at Point 2 & Velocity at Point 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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