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

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Dynamic loss in ducts

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Pressure Loss in Ducts

✖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%
✖Pressure Loss Coefficient Cr is defined the ratio of actual loss of pressure to loss for sudden enlargement/contraction.ⓘ Pressure Loss Coefficient [C_r]			+10% -10%
✖Pressure Loss Coefficient at 2 is the coefficient of pressure losses caused by a change in air direction from the elbow, offset, or takeoffs.ⓘ Pressure Loss Coefficient at 2 [C₂]			+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 Gradual Contraction given Velocity of Air at Point 2 [P_d]

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Formula

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

Formula

`"P"_{"d"} = 0.6*"V"_{"2"}^2*"C"_{"r"}*"C"_{"2"}`

Example

`"4.961468mmAq"=0.6*("26m/s")^2*"0.4"*"0.3"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2
P_d = 0.6*V₂^2*C_r*C₂
This formula uses 4 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 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.
Pressure Loss Coefficient - Pressure Loss Coefficient Cr is defined the ratio of actual loss of pressure to loss for sudden enlargement/contraction.
Pressure Loss Coefficient at 2 - Pressure Loss Coefficient at 2 is the coefficient of pressure losses caused by a change in air direction from the elbow, offset, or takeoffs.

STEP 1: Convert Input(s) to Base Unit

Velocity of Air at Section 2: 26 Meter per Second --> 26 Meter per Second No Conversion Required
Pressure Loss Coefficient: 0.4 --> No Conversion Required
Pressure Loss Coefficient at 2: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = 0.6*V₂^2*C_r*C₂ --> 0.6*26^2*0.4*0.3

Evaluating ... ...

P_d = 48.672

STEP 3: Convert Result to Output's Unit

48.672 Pascal -->4.96146788990826 Millimeter Water (4 °C) (Check conversion here)

FINAL ANSWER

4.96146788990826 ≈ 4.961468 Millimeter Water (4 °C) <-- Dynamic Pressure Loss

(Calculation completed in 00.004 seconds)

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Home » Physics » Refrigeration and Air Conditioning » Ducts » Dynamic loss in ducts » Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2

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

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< 12 Dynamic loss in ducts Calculators

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

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 Gradual Contraction given Velocity of Air at Point 2 Formula

Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2
P_d = 0.6*V₂^2*C_r*C₂

Values of Pressure loss coefficient (Cr)

The Pressure loss coefficient Cr is the function of included angle θ of the sides of contraction/ reduction.

Following are the general values of Cr with respect to the θ:

1. θ (in degree) = 5 then Cr = 0.17
2. θ (in degree) = 7 then Cr = 0.22
3. θ (in degree) = 10 then Cr = 0.28
4. θ (in degree) = 20 then Cr = 0.45
5. θ (in degree) = 30 then Cr = 0.59
6. θ (in degree) = 40 then Cr = 0.73

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

Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2 calculator uses Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2 to calculate the Dynamic Pressure Loss, The Pressure Loss due to Gradual Contraction given Velocity of air at point 2 formula is defined as the amount of pressure loss due to gradual contraction/reduction in the area of the duct. Dynamic Pressure Loss is denoted by P_d symbol.

How to calculate Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2 using this online calculator? To use this online calculator for Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2, enter Velocity of Air at Section 2 (V₂), Pressure Loss Coefficient (C_r) & Pressure Loss Coefficient at 2 (C₂) and hit the calculate button. Here is how the Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2 calculation can be explained with given input values -> 0.505756 = 0.6*26^2*0.4*0.3.

FAQ

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

The Pressure Loss due to Gradual Contraction given Velocity of air at point 2 formula is defined as the amount of pressure loss due to gradual contraction/reduction in the area of the duct and is represented as P_d = 0.6*V₂^2*C_r*C₂ or Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2. 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, Pressure Loss Coefficient Cr is defined the ratio of actual loss of pressure to loss for sudden enlargement/contraction & Pressure Loss Coefficient at 2 is the coefficient of pressure losses caused by a change in air direction from the elbow, offset, or takeoffs.

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

The Pressure Loss due to Gradual Contraction given Velocity of air at point 2 formula is defined as the amount of pressure loss due to gradual contraction/reduction in the area of the duct is calculated using Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2. To calculate Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2, you need Velocity of Air at Section 2 (V₂), Pressure Loss Coefficient (C_r) & Pressure Loss Coefficient at 2 (C₂). With our tool, you need to enter the respective value for Velocity of Air at Section 2, Pressure Loss Coefficient & Pressure Loss Coefficient at 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 2, Pressure Loss Coefficient & Pressure Loss Coefficient at 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-Velocity of Air at Section 2)^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 = Dynamic Loss Coefficient*0.6*Velocity of Air^2
Dynamic Pressure Loss = 0.6*Velocity of Air^2

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