Velocity at section 2-2 for sudden contraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1)
V2' = (sqrt(hc*2*[g]))/((1/Cc)-1)
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
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.
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
Loss of Head Sudden Contraction: 0.19 Meter --> 0.19 Meter No Conversion Required
Coefficient of Contraction in Pipe: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V2' = (sqrt(hc*2*[g]))/((1/Cc)-1) --> (sqrt(0.19*2*[g]))/((1/0.6)-1)
Evaluating ... ...
V2' = 2.8956321848605
STEP 3: Convert Result to Output's Unit
2.8956321848605 Meter per Second --> No Conversion Required
FINAL ANSWER
2.8956321848605 2.895632 Meter per Second <-- Velocity of Fluid at Section 2
(Calculation completed in 00.020 seconds)

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17 Flow Regime Calculators

Velocity of Flow at Outlet of Nozzle
Go Flow Velocity through Pipe = sqrt(2*[g]*Head at Base of Nozzle/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2)))))
Velocity of Fluid for Head Loss due to Obstruction in Pipe
Go Flow Velocity through Pipe = (sqrt(Loss of Head Due to Obstruction in Pipe*2*[g]))/((Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)))-1)
Discharge in Equivalent Pipe
Go Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe))
Velocity of liquid at vena-contracta
Go Velocity of Liquid Vena Contracta = (Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))
Retarding force for gradual closure of valves
Go Retarding Force on Liquid in Pipe = Density of Fluid in Pipe*Cross Sectional Area of Pipe*Length of Pipe*Flow Velocity through Pipe/Time Required to Close Valve
Coefficient of contraction for sudden contraction
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]))
Time required to close Valve for Gradual Closure of Valves
Go Time Required to Close Valve = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Intensity of Pressure of Wave
Velocity at section 2-2 for sudden contraction
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
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
Go Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])
Velocity of Flow at outlet of Nozzle for Efficiency and Head
Go Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle)
Circumferential stress developed in pipe wall
Go Circumferential Stress = (Pressure Rise at Valve*Diameter of Pipe)/(2*Thickness of Liquid Carrying Pipe)
Longitudinal Stress developed in Pipe wall
Go Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe)
Velocity of fluid in pipe for head loss at entrance of pipe
Go Velocity = sqrt((Head Loss at Pipe Entrance*2*[g])/0.5)
Velocity at Outlet for Head Loss at Exit of Pipe
Go Velocity = sqrt(Head Loss at Pipe Exit*2*[g])
Time taken by pressure wave to travel
Go Time Taken to Travel = 2*Length of Pipe/Velocity of Pressure Wave
Force required to accelerate water in pipe
Go Force = Mass of Water*Acceleration of Liquid

Velocity at section 2-2 for sudden contraction Formula

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

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 Velocity at section 2-2 for sudden contraction?

Velocity at section 2-2 for sudden contraction calculator uses Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1) to calculate the Velocity of Fluid at Section 2, The Velocity at section 2-2 for sudden contraction formula is known while considering the loss of head due to sudden contraction and the coefficient of contraction at c-c. Velocity of Fluid at Section 2 is denoted by V2' symbol.

How to calculate Velocity at section 2-2 for sudden contraction using this online calculator? To use this online calculator for Velocity at section 2-2 for sudden contraction, enter Loss of Head Sudden Contraction (hc) & Coefficient of Contraction in Pipe (Cc) and hit the calculate button. Here is how the Velocity at section 2-2 for sudden contraction calculation can be explained with given input values -> 2.895632 = (sqrt(0.19*2*[g]))/((1/0.6)-1).

FAQ

What is Velocity at section 2-2 for sudden contraction?
The Velocity at section 2-2 for sudden contraction formula is known while considering the loss of head due to sudden contraction and the coefficient of contraction at c-c and is represented as V2' = (sqrt(hc*2*[g]))/((1/Cc)-1) or Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1). The Loss of Head Sudden Contraction is the energy loss caused due to the contraction on flow through pipes & 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 Velocity at section 2-2 for sudden contraction?
The Velocity at section 2-2 for sudden contraction formula is known while considering the loss of head due to sudden contraction and the coefficient of contraction at c-c is calculated using Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1). To calculate Velocity at section 2-2 for sudden contraction, you need Loss of Head Sudden Contraction (hc) & Coefficient of Contraction in Pipe (Cc). With our tool, you need to enter the respective value for Loss of Head Sudden Contraction & 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.
How many ways are there to calculate Velocity of Fluid at Section 2?
In this formula, Velocity of Fluid at Section 2 uses Loss of Head Sudden Contraction & Coefficient of Contraction in Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])
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