Loss of Head due to Sudden Contraction Calculator

⤿

Properties of Surfaces and Solids

Draft Tube

Flow Characteristics

Orifices and Mouthpieces

Viscous Flow

⤿

Closed Channel

Flow in Open Channels

⤿

Pressure and Flow Head

Flow Regime

Geometric Property

Power Transmission

✖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 2 [V₂']			+10% -10%
✖Coefficient of contraction in pipe is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.ⓘ Coefficient of Contraction in Pipe [C_c]			+10% -10%

✖The Loss of Head Sudden Contraction is the energy loss caused due to the contraction on flow through pipes.ⓘ Loss of Head due to Sudden Contraction [h_c]

⎘ Copy

👎

Formula

✖

Loss of Head due to Sudden Contraction

Formula

`"h"_{"c"} = ("V"_{"2"}"'")^2/(2*"[g]")*(1/"C"_{"c"}-1)^2`

Example

`"0.189262m"=("2.89m/s")^2/(2*"[g]")*(1/"0.6"-1)^2`

Calculator

LaTeX

Reset

👍

Download Properties of Surfaces and Solids Formula PDF PDF Image

Loss of Head due to Sudden Contraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2
h_c = V₂'^2/(2*[g])*(1/C_c-1)^2
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 Contraction - (Measured in Meter) - The Loss of Head Sudden Contraction is the energy loss caused due to the contraction on flow through pipes.
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.
Coefficient of Contraction in Pipe - Coefficient of contraction in pipe is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.

STEP 1: Convert Input(s) to Base Unit

Velocity of Fluid at Section 2: 2.89 Meter per Second --> 2.89 Meter per Second No Conversion Required
Coefficient of Contraction in Pipe: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_c = V₂'^2/(2*[g])*(1/C_c-1)^2 --> 2.89^2/(2*[g])*(1/0.6-1)^2

Evaluating ... ...

h_c = 0.189261595164732

STEP 3: Convert Result to Output's Unit

0.189261595164732 Meter --> No Conversion Required

FINAL ANSWER

0.189261595164732 ≈ 0.189262 Meter <-- Loss of Head Sudden Contraction

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Pressure and Flow Head » Loss of Head due to Sudden Contraction

Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

< 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 Contraction Formula

Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2
h_c = V₂'^2/(2*[g])*(1/C_c-1)^2

What is coefficient of contraction?

The coefficient of contraction is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.

What is the effect of sudden contraction?

A sudden contraction increases the pressure loss compared to the constant-area bend and it affects the pressure distribution throughout the entire bend.

How to Calculate Loss of Head due to Sudden Contraction?

Loss of Head due to Sudden Contraction calculator uses Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2 to calculate the Loss of Head Sudden Contraction, The Loss of Head due to Sudden Contraction formula is known while considering the velocity at section 2-2 which is present after the contraction and the coefficient of contraction at c-c. Loss of Head Sudden Contraction is denoted by h_c symbol.

How to calculate Loss of Head due to Sudden Contraction using this online calculator? To use this online calculator for Loss of Head due to Sudden Contraction, enter Velocity of Fluid at Section 2 (V₂') & Coefficient of Contraction in Pipe (C_c) and hit the calculate button. Here is how the Loss of Head due to Sudden Contraction calculation can be explained with given input values -> 0.01918 = 2.89^2/(2*[g])*(1/0.6-1)^2.

FAQ

What is Loss of Head due to Sudden Contraction?

The Loss of Head due to Sudden Contraction formula is known while considering the velocity at section 2-2 which is present after the contraction and the coefficient of contraction at c-c and is represented as h_c = V₂'^2/(2*[g])*(1/C_c-1)^2 or Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^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 & Coefficient of contraction in pipe is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.

How to calculate Loss of Head due to Sudden Contraction?

The Loss of Head due to Sudden Contraction formula is known while considering the velocity at section 2-2 which is present after the contraction and the coefficient of contraction at c-c is calculated using Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2. To calculate Loss of Head due to Sudden Contraction, you need Velocity of Fluid at Section 2 (V₂') & Coefficient of Contraction in Pipe (C_c). With our tool, you need to enter the respective value for Velocity of Fluid at Section 2 & Coefficient of Contraction in Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search