Velocity at section 2-2 for sudden enlargement Calculator

✖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 1 [V₁']			+10% -10%
✖The Loss of Head Sudden Enlargement is the energy loss caused due to the sudden enlargement in flow through pipes.ⓘ Loss of Head Sudden Enlargement [h_e]			+10% -10%

✖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.ⓘ Velocity at section 2-2 for sudden enlargement [V₂']

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Formula

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Velocity at section 2-2 for sudden enlargement

Formula

V 2' = V 1' - \sqrt{h e \cdot 2 \cdot [g]}

Example

2.464776 m/s = 4.18 m/s - \sqrt{0.15 m \cdot 2 \cdot [g]}

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Velocity at section 2-2 for sudden enlargement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])
V₂' = V₁'-sqrt(h_e*2*[g])
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.

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
Loss of Head Sudden Enlargement: 0.15 Meter --> 0.15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₂' = V₁'-sqrt(h_e*2*[g]) --> 4.18-sqrt(0.15*2*[g])

Evaluating ... ...

V₂' = 2.46477552489477

STEP 3: Convert Result to Output's Unit

2.46477552489477 Meter per Second --> No Conversion Required

FINAL ANSWER

2.46477552489477 ≈ 2.464776 Meter per Second <-- Velocity of Fluid at Section 2

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Flow Regime Calculators

Velocity at section 2-2 for sudden contraction

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

Velocity at section 1-1 for sudden enlargement

Go Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g])

Velocity at section 2-2 for sudden enlargement

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

Velocity of fluid in pipe for head loss at entrance of pipe

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

Velocity at section 2-2 for sudden enlargement Formula

Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])
V₂' = V₁'-sqrt(h_e*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 Velocity at section 2-2 for sudden enlargement?

Velocity at section 2-2 for sudden enlargement calculator uses Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g]) to calculate the Velocity of Fluid at Section 2, The Velocity at section 2-2 for sudden enlargement formula is known while considering the velocity of flow at section 1-1 before enlargement, and the loss of head due to friction for a liquid flowing through the pipe. Velocity of Fluid at Section 2 is denoted by V₂' symbol.

How to calculate Velocity at section 2-2 for sudden enlargement using this online calculator? To use this online calculator for Velocity at section 2-2 for sudden enlargement, enter Velocity of Fluid at Section 1 (V₁') & Loss of Head Sudden Enlargement (h_e) and hit the calculate button. Here is how the Velocity at section 2-2 for sudden enlargement calculation can be explained with given input values -> 2.464776 = 4.18-sqrt(0.15*2*[g]).

FAQ

What is Velocity at section 2-2 for sudden enlargement?

The Velocity at section 2-2 for sudden enlargement formula is known while considering the velocity of flow at section 1-1 before enlargement, and the loss of head due to friction for a liquid flowing through the pipe and is represented as V₂' = V₁'-sqrt(h_e*2*[g]) or Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*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 & The Loss of Head Sudden Enlargement is the energy loss caused due to the sudden enlargement in flow through pipes.

How to calculate Velocity at section 2-2 for sudden enlargement?

The Velocity at section 2-2 for sudden enlargement formula is known while considering the velocity of flow at section 1-1 before enlargement, and the loss of head due to friction for a liquid flowing through the pipe is calculated using Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g]). To calculate Velocity at section 2-2 for sudden enlargement, you need Velocity of Fluid at Section 1 (V₁') & Loss of Head Sudden Enlargement (h_e). With our tool, you need to enter the respective value for Velocity of Fluid at Section 1 & Loss of Head Sudden Enlargement and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity of Fluid at Section 2?

In this formula, Velocity of Fluid at Section 2 uses Velocity of Fluid at Section 1 & Loss of Head Sudden Enlargement. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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