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Velocity at section 1-1 for sudden enlargement Formula

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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. Check FAQs

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

V₁' - Velocity of Fluid at Section 1?V₂' - Velocity of Fluid at Section 2?h_e - Loss of Head Sudden Enlargement?[g] - Gravitational acceleration on Earth?

Velocity at section 1-1 for sudden enlargement Example

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Here is how the Velocity at section 1-1 for sudden enlargement equation looks like with Values.

Here is how the Velocity at section 1-1 for sudden enlargement equation looks like with Units.

Here is how the Velocity at section 1-1 for sudden enlargement equation looks like.

4.6052 = 2.89 + \sqrt{0.15 \cdot 2 \cdot 9.8066}

4.6052m/s = 2.89m/s + \sqrt{0.15m \cdot 2 \cdot 9.8066m/s²}

4.6052 = 2.89 + \sqrt{0.15 \cdot 2 \cdot 9.8066}

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Velocity at section 1-1 for sudden enlargement Solution

Follow our step by step solution on how to calculate Velocity at section 1-1 for sudden enlargement?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 1' = 2.89m/s + \sqrt{0.15m \cdot 2 \cdot [g]}

Next Step Substitute values of Constants

∴

V 1' = 2.89m/s + \sqrt{0.15m \cdot 2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

V 1' = 2.89 + \sqrt{0.15 \cdot 2 \cdot 9.8066}

Next Step Evaluate

∴

V 1' = 4.60522447510523m/s

LAST Step Rounding Answer

∴

V 1' = 4.6052m/s

Velocity at section 1-1 for sudden enlargement Formula Elements

Variables

Constants

Functions

Velocity of Fluid at Section 1

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.

Symbol: V₁'

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid at Section 1

Velocity of Fluid at Section 2

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.

Symbol: V₂'

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Fluid at Section 2

Loss of Head Sudden Enlargement

The Loss of Head Sudden Enlargement is the energy loss caused due to the sudden enlargement in flow through pipes.

Symbol: h_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Loss of Head Sudden Enlargement

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other formulas in Flow Regime category

Go Velocity at section 2-2 for sudden enlargement

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

Go Velocity at section 2-2 for sudden contraction

V 2' = \frac{\sqrt{h c \cdot 2 \cdot [g]}}{(\frac{1}{C c}) - 1}

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

v = \sqrt{\frac{h i \cdot 2 \cdot [g]}{0.5}}

Go Velocity at Outlet for Head Loss at Exit of Pipe

v = \sqrt{h o \cdot 2 \cdot [g]}

How to Evaluate Velocity at section 1-1 for sudden enlargement?

Velocity at section 1-1 for sudden enlargement evaluator uses Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g]) to evaluate the Velocity of Fluid at Section 1, The Velocity at section 1-1 for sudden enlargement formula is known while considering the velocity of flow at section 2-2 after enlargement, and the loss of head due to friction for a liquid flowing through the pipe. Velocity of Fluid at Section 1 is denoted by V₁' symbol.

How to evaluate Velocity at section 1-1 for sudden enlargement using this online evaluator? To use this online evaluator for Velocity at section 1-1 for sudden enlargement, enter Velocity of Fluid at Section 2 (V₂') & Loss of Head Sudden Enlargement (h_e) and hit the calculate button.

FAQs on Velocity at section 1-1 for sudden enlargement

What is the formula to find Velocity at section 1-1 for sudden enlargement?

The formula of Velocity at section 1-1 for sudden enlargement is expressed as Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g]). Here is an example- 4.605224 = 2.89+sqrt(0.15*2*[g]).

How to calculate Velocity at section 1-1 for sudden enlargement?

With Velocity of Fluid at Section 2 (V₂') & Loss of Head Sudden Enlargement (h_e) we can find Velocity at section 1-1 for sudden enlargement using the formula - Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g]). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Velocity at section 1-1 for sudden enlargement be negative?

No, the Velocity at section 1-1 for sudden enlargement, measured in Speed cannot be negative.

Which unit is used to measure Velocity at section 1-1 for sudden enlargement?

Velocity at section 1-1 for sudden enlargement is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity at section 1-1 for sudden enlargement can be measured.

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Velocity at section 1-1 for sudden enlargement Formula

Velocity at section 1-1 for sudden enlargement Example

Velocity at section 1-1 for sudden enlargement Solution

Velocity at section 1-1 for sudden enlargement Formula Elements

Other formulas in Flow Regime category

How to Evaluate Velocity at section 1-1 for sudden enlargement?

FAQs on Velocity at section 1-1 for sudden enlargement

Variable Name