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

STEP 0: Pre-Calculation Summary
Formula Used
Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g])
he = ((V1'-V2')^2)/(2*[g])
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Loss of Head Sudden Enlargement - (Measured in Meter) - The Loss of Head Sudden Enlargement is the energy loss caused due to the sudden enlargement in flow through pipes.
Velocity of Fluid at Section 1 - (Measured in Meter per Second) - Velocity of fluid at section 1 is the flow velocity of the liquid flowing in a pipe at a particular section considered as section 1.
Velocity of Fluid at Section 2 - (Measured in Meter per Second) - Velocity of fluid at section 2 is the flow velocity of the liquid flowing in a pipe at a particular section considered as section 2.
STEP 1: Convert Input(s) to Base Unit
Velocity of Fluid at Section 1: 4.18 Meter per Second --> 4.18 Meter per Second No Conversion Required
Velocity of Fluid at Section 2: 2.89 Meter per Second --> 2.89 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
he = ((V1'-V2')^2)/(2*[g]) --> ((4.18-2.89)^2)/(2*[g])
Evaluating ... ...
he = 0.0848454875008285
STEP 3: Convert Result to Output's Unit
0.0848454875008285 Meter --> No Conversion Required
FINAL ANSWER
0.0848454875008285 0.084845 Meter <-- Loss of Head Sudden Enlargement
(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore
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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])

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

Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g])
he = ((V1'-V2')^2)/(2*[g])

What is the effect if the cross section of the pipe suddenly enlarges?

Due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section. The formation of eddies causes loss of energy in form of heat to the surrounding.

How eddies are formed?

The eddies are formed only when the flow around the obstacle reaches a critical velocity. An eddy is the swirling of a fluid and the reverse current created.

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

Loss of head due to sudden enlargement at any particular section of pipe calculator uses Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g]) to calculate the Loss of Head Sudden Enlargement, The Loss of head due to sudden enlargement formula is known while considering the velocity of flow at section 1-1 and section 2-2 for a liquid flowing through the pipe. Loss of Head Sudden Enlargement is denoted by he symbol.

How to calculate Loss of head due to sudden enlargement at any particular section of pipe using this online calculator? To use this online calculator for Loss of head due to sudden enlargement at any particular section of pipe, enter Velocity of Fluid at Section 1 (V1') & Velocity of Fluid at Section 2 (V2') and hit the calculate button. Here is how the Loss of head due to sudden enlargement at any particular section of pipe calculation can be explained with given input values -> 0.149088 = ((4.18-2.89)^2)/(2*[g]).

FAQ

What is Loss of head due to sudden enlargement at any particular section of pipe?
The Loss of head due to sudden enlargement formula is known while considering the velocity of flow at section 1-1 and section 2-2 for a liquid flowing through the pipe and is represented as he = ((V1'-V2')^2)/(2*[g]) or Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g]). Velocity of fluid at section 1 is the flow velocity of the liquid flowing in a pipe at a particular section considered as section 1 & Velocity of fluid at section 2 is the flow velocity of the liquid flowing in a pipe at a particular section considered as section 2.
How to calculate Loss of head due to sudden enlargement at any particular section of pipe?
The Loss of head due to sudden enlargement formula is known while considering the velocity of flow at section 1-1 and section 2-2 for a liquid flowing through the pipe is calculated using Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g]). To calculate Loss of head due to sudden enlargement at any particular section of pipe, you need Velocity of Fluid at Section 1 (V1') & Velocity of Fluid at Section 2 (V2'). With our tool, you need to enter the respective value for Velocity of Fluid at Section 1 & Velocity of Fluid at Section 2 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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