Coefficient of contraction for sudden contraction Calculator

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

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Coefficient of contraction for sudden contraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

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
Loss of Head Sudden Contraction: 0.19 Meter --> 0.19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_c = V₂'/(V₂'+sqrt(h_c*2*[g])) --> 2.89/(2.89+sqrt(0.19*2*[g]))

Evaluating ... ...

C_c = 0.599532639632344

STEP 3: Convert Result to Output's Unit

0.599532639632344 --> No Conversion Required

FINAL ANSWER

0.599532639632344 ≈ 0.599533 <-- Coefficient of Contraction in Pipe

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Flow Regime Calculators

Velocity at section 2-2 for sudden contraction

LaTeX 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

LaTeX 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

LaTeX 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

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

Coefficient of contraction for sudden contraction Formula

LaTeX Go

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

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 Coefficient of contraction for sudden contraction?

Coefficient of contraction for sudden contraction calculator uses Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g])) to calculate the Coefficient of Contraction in Pipe, The Coefficient of contraction for sudden contraction formula is known while considering the loss of head due to sudden contraction and the velocity of flow at section 2-2. Coefficient of Contraction in Pipe is denoted by C_c symbol.

How to calculate Coefficient of contraction for sudden contraction using this online calculator? To use this online calculator for Coefficient of contraction for sudden contraction, enter Velocity of Fluid at Section 2 (V₂') & Loss of Head Sudden Contraction (h_c) and hit the calculate button. Here is how the Coefficient of contraction for sudden contraction calculation can be explained with given input values -> 0.599533 = 2.89/(2.89+sqrt(0.19*2*[g])).

FAQ

What is Coefficient of contraction for sudden contraction?

The Coefficient of contraction for sudden contraction formula is known while considering the loss of head due to sudden contraction and the velocity of flow at section 2-2 and is represented as C_c = V₂'/(V₂'+sqrt(h_c*2*[g])) or Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g])). 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 & The Loss of Head Sudden Contraction is the energy loss caused due to the contraction on flow through pipes.

How to calculate Coefficient of contraction for sudden contraction?

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

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