Velocity at section 1-1 for sudden enlargement Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g])
V1' = V2'+sqrt(he*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
Velocity of Fluid at Section 1 - (Measured in Meter per Second) - Velocity of fluid at section 1 is the flow velocity of the liquid flowing in a pipe at a particular section considered as section 1.
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 Enlargement - (Measured in Meter) - The Loss of Head Sudden Enlargement is the energy loss caused due to the sudden enlargement in 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 Enlargement: 0.15 Meter --> 0.15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V1' = V2'+sqrt(he*2*[g]) --> 2.89+sqrt(0.15*2*[g])
Evaluating ... ...
V1' = 4.60522447510523
STEP 3: Convert Result to Output's Unit
4.60522447510523 Meter per Second --> No Conversion Required
FINAL ANSWER
4.60522447510523 4.605224 Meter per Second <-- Velocity of Fluid at Section 1
(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore
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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 1-1 for sudden enlargement Formula

Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g])
V1' = V2'+sqrt(he*2*[g])

What is the effect if the cross section of the pipe suddenly enlarges?

Due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section. The formation of eddies causes loss of energy in form of heat to the surrounding.

How eddies are formed?

The eddies are formed only when the flow around the obstacle reaches a critical velocity. An eddy is the swirling of a fluid and the reverse current created.

How to Calculate Velocity at section 1-1 for sudden enlargement?

Velocity at section 1-1 for sudden enlargement calculator uses Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g]) to calculate the Velocity of Fluid at Section 1, The Velocity at section 1-1 for sudden enlargement formula is known while considering the velocity of flow at section 2-2 after enlargement, and the loss of head due to friction for a liquid flowing through the pipe. Velocity of Fluid at Section 1 is denoted by V1' symbol.

How to calculate Velocity at section 1-1 for sudden enlargement using this online calculator? To use this online calculator for Velocity at section 1-1 for sudden enlargement, enter Velocity of Fluid at Section 2 (V2') & Loss of Head Sudden Enlargement (he) and hit the calculate button. Here is how the Velocity at section 1-1 for sudden enlargement calculation can be explained with given input values -> 4.605224 = 2.89+sqrt(0.15*2*[g]).

FAQ

What is Velocity at section 1-1 for sudden enlargement?
The Velocity at section 1-1 for sudden enlargement formula is known while considering the velocity of flow at section 2-2 after enlargement, and the loss of head due to friction for a liquid flowing through the pipe and is represented as V1' = V2'+sqrt(he*2*[g]) or Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*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 Enlargement is the energy loss caused due to the sudden enlargement in flow through pipes.
How to calculate Velocity at section 1-1 for sudden enlargement?
The Velocity at section 1-1 for sudden enlargement formula is known while considering the velocity of flow at section 2-2 after enlargement, and the loss of head due to friction for a liquid flowing through the pipe is calculated using Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g]). To calculate Velocity at section 1-1 for sudden enlargement, you need Velocity of Fluid at Section 2 (V2') & Loss of Head Sudden Enlargement (he). With our tool, you need to enter the respective value for Velocity of Fluid at Section 2 & Loss of Head Sudden Enlargement 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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