Pressure Loss due to Sudden Enlargement Calculator

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Pressure

Continuity Equation for Ducts

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Parameters of Ducts

Pressure Loss in Ducts

✖Velocity of Air at section 1 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 1.ⓘ Velocity of Air at Section 1 [V₁]			+10% -10%
✖Velocity of Air at section 2 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 2.ⓘ Velocity of Air at Section 2 [V₂]			+10% -10%

✖Dynamic Pressure Loss is defined as the loss of pressure is due to the loss of the energy of the fluid in overcoming such dynamic forces resisting the changes.ⓘ Pressure Loss due to Sudden Enlargement [P_d]

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Formula

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Pressure Loss due to Sudden Enlargement

Formula

`"P"_{"d"} = 0.6*("V"_{"1"}-"V"_{"2"})^2`

Example

`"4.954128mmAq"=0.6*("17m/s"-"26m/s")^2`

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Pressure Loss due to Sudden Enlargement Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2
P_d = 0.6*(V₁-V₂)^2
This formula uses 3 Variables

Variables Used

Dynamic Pressure Loss - (Measured in Pascal) - Dynamic Pressure Loss is defined as the loss of pressure is due to the loss of the energy of the fluid in overcoming such dynamic forces resisting the changes.
Velocity of Air at Section 1 - (Measured in Meter per Second) - Velocity of Air at section 1 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 1.
Velocity of Air at Section 2 - (Measured in Meter per Second) - Velocity of Air at section 2 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 2.

STEP 1: Convert Input(s) to Base Unit

Velocity of Air at Section 1: 17 Meter per Second --> 17 Meter per Second No Conversion Required
Velocity of Air at Section 2: 26 Meter per Second --> 26 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = 0.6*(V₁-V₂)^2 --> 0.6*(17-26)^2

Evaluating ... ...

P_d = 48.6

STEP 3: Convert Result to Output's Unit

48.6 Pascal -->4.95412844036697 Millimeter Water (4 °C) (Check conversion here)

FINAL ANSWER

4.95412844036697 ≈ 4.954128 Millimeter Water (4 °C) <-- Dynamic Pressure Loss

(Calculation completed in 00.020 seconds)

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Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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National Institute Of Technology (NIT), Hamirpur

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< 17 Pressure Calculators

Length of Duct given Pressure Loss due to Friction

Go Length of Duct = (2*Pressure Loss due to Friction in Ducts*Hydraulic Mean Depth)/(Friction Factor in Duct*Air Density*Mean Velocity of Air^2)

Pressure Loss due to Friction in Ducts

Go Pressure Loss due to Friction in Ducts = (Friction Factor in Duct*Length of Duct*Air Density*Mean Velocity of Air^2)/(2*Hydraulic Mean Depth)

Pressure Drop in Square Duct

Go Pressure Drop = (0.6*Friction Factor in Duct*Length of Duct*Mean Velocity of Air^2)/((Side^2)/(2*(Side+Side)))

Pressure Drop in Circular Duct

Go Pressure Drop = (0.6*Friction Factor in Duct*Length of Duct*Mean Velocity of Air^2)/(Diameter of Circular Duct/4)

Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1

Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2

Dynamic Loss Coefficient given Equivalent Additional Length

Go Dynamic Loss Coefficient = (Friction Factor in Duct*Equivalent Additional Length)/Hydraulic Mean Depth

Pressure Loss Coefficient at Outlet of Duct

Go Pressure Loss Coefficient at 2 = (Cross-Sectional Area of Duct at Section 2/Cross-Sectional Area of Duct at Section 1-1)^2

Pressure Loss Coefficient at Inlet of Duct

Go Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2

Total Pressure required at Inlet to Duct

Go Total Pressure Required = Pressure Loss due to Friction in Ducts+Velocity Pressure in Ducts

Pressure Loss due to Sudden Contraction given Velocity of Air at point 2

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient at 2

Pressure Loss due to Sudden Enlargement

Go Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2

Pressure Loss due to Sudden Contraction given Velocity of Air at Point 1

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Dynamic Loss Coefficient

Dynamic Loss Coefficient given Dynamic Pressure Loss

Go Dynamic Loss Coefficient = Dynamic Pressure Loss/(0.6*Velocity of Air^2)

Pressure Loss at Suction

Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Dynamic Pressure Loss

Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Pressure Loss at Discharge or Exit

Go Dynamic Pressure Loss = 0.6*Velocity of Air^2

Pressure Loss due to Sudden Enlargement Formula

Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2
P_d = 0.6*(V₁-V₂)^2

What is Static Regain?

When the area of a duct changes, the velocity of air flowing through the duct changes. A little consideration will show that when the area increases, the velocity decreases with a rise in pressure, and the conversion of velocity head (or velocity pressure) into pressure head (or static pressure) takes place. The increase in static pressure as a result of the conversion from velocity pressure is termed as static regain.

How to Calculate Pressure Loss due to Sudden Enlargement?

Pressure Loss due to Sudden Enlargement calculator uses Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2 to calculate the Dynamic Pressure Loss, The Pressure loss due to sudden enlargement formula is defined as the loss of pressure that takes place due to the eddies formed at the suddenly enlarged section. Dynamic Pressure Loss is denoted by P_d symbol.

How to calculate Pressure Loss due to Sudden Enlargement using this online calculator? To use this online calculator for Pressure Loss due to Sudden Enlargement, enter Velocity of Air at Section 1 (V₁) & Velocity of Air at Section 2 (V₂) and hit the calculate button. Here is how the Pressure Loss due to Sudden Enlargement calculation can be explained with given input values -> 0.505008 = 0.6*(17-26)^2.

FAQ

What is Pressure Loss due to Sudden Enlargement?

The Pressure loss due to sudden enlargement formula is defined as the loss of pressure that takes place due to the eddies formed at the suddenly enlarged section and is represented as P_d = 0.6*(V₁-V₂)^2 or Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2. Velocity of Air at section 1 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 1 & Velocity of Air at section 2 is defined as the rate of air movement measured in distance traveled relative to time elapsed at section 2.

How to calculate Pressure Loss due to Sudden Enlargement?

The Pressure loss due to sudden enlargement formula is defined as the loss of pressure that takes place due to the eddies formed at the suddenly enlarged section is calculated using Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2. To calculate Pressure Loss due to Sudden Enlargement, you need Velocity of Air at Section 1 (V₁) & Velocity of Air at Section 2 (V₂). With our tool, you need to enter the respective value for Velocity of Air at Section 1 & Velocity of Air at Section 2 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 Dynamic Pressure Loss?

In this formula, Dynamic Pressure Loss uses Velocity of Air at Section 1 & Velocity of Air at Section 2. We can use 7 other way(s) to calculate the same, which is/are as follows -

Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2
Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Dynamic Loss Coefficient
Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient at 2
Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1
Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2
Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2
Dynamic Pressure Loss = 0.6*Velocity of Air^2

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