Retarding force for gradual closure of valves Formula

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Retarding force on liquid in pipe is the force acting on the liquid slowing it down when the valve is closed. Check FAQs
Fr=ρ'ALVftc
Fr - Retarding Force on Liquid in Pipe?ρ' - Density of Fluid Inside the Pipe?A - Cross Sectional Area of Pipe?L - Length of Pipe?Vf - Flow Velocity through Pipe?tc - Time Required to Close Valve?

Retarding force for gradual closure of valves Example

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With units
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Here is how the Retarding force for gradual closure of valves equation looks like with Values.

Here is how the Retarding force for gradual closure of valves equation looks like with Units.

Here is how the Retarding force for gradual closure of valves equation looks like.

319.889Edit=1010Edit0.0113Edit1200Edit12.5Edit535.17Edit
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Retarding force for gradual closure of valves Solution

Follow our step by step solution on how to calculate Retarding force for gradual closure of valves?

FIRST Step Consider the formula
Fr=ρ'ALVftc
Next Step Substitute values of Variables
Fr=1010kg/m³0.01131200m12.5m/s535.17s
Next Step Prepare to Evaluate
Fr=10100.0113120012.5535.17
Next Step Evaluate
Fr=319.889007231347N
LAST Step Rounding Answer
Fr=319.889N

Retarding force for gradual closure of valves Formula Elements

Variables
Retarding Force on Liquid in Pipe
Retarding force on liquid in pipe is the force acting on the liquid slowing it down when the valve is closed.
Symbol: Fr
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Density of Fluid Inside the Pipe
Density of Fluid Inside the Pipe material shows the mass of the liquid in a specific given volume. This is taken as mass per unit volume.
Symbol: ρ'
Measurement: DensityUnit: kg/m³
Note: Value should be greater than 0.
Cross Sectional Area of Pipe
Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
Length of Pipe
Length of Pipe describes the length of the pipe in which the liquid is flowing.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Flow Velocity through Pipe
Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.
Symbol: Vf
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Time Required to Close Valve
Time required to close valve is the amount of time required for closing the valve.
Symbol: tc
Measurement: TimeUnit: s
Note: Value should be greater than 0.

Other formulas in Flow Regime category

​Go Velocity at section 1-1 for sudden enlargement
V1'=V2'+he2[g]
​Go Velocity at section 2-2 for sudden enlargement
V2'=V1'-he2[g]
​Go Velocity at section 2-2 for sudden contraction
V2'=hc2[g](1Cc)-1
​Go Velocity of fluid in pipe for head loss at entrance of pipe
v=hi2[g]0.5

How to Evaluate Retarding force for gradual closure of valves?

Retarding force for gradual closure of valves evaluator uses Retarding Force on Liquid in Pipe = Density of Fluid Inside the Pipe*Cross Sectional Area of Pipe*Length of Pipe*Flow Velocity through Pipe/Time Required to Close Valve to evaluate the Retarding Force on Liquid in Pipe, The Retarding force for gradual closure of valves formula is known while considering the density of fluid, area, and length of the pipe, the velocity of flow of water through a pipe, and the time required to close the valve. Retarding Force on Liquid in Pipe is denoted by Fr symbol.

How to evaluate Retarding force for gradual closure of valves using this online evaluator? To use this online evaluator for Retarding force for gradual closure of valves, enter Density of Fluid Inside the Pipe (ρ'), Cross Sectional Area of Pipe (A), Length of Pipe (L), Flow Velocity through Pipe (Vf) & Time Required to Close Valve (tc) and hit the calculate button.

FAQs on Retarding force for gradual closure of valves

What is the formula to find Retarding force for gradual closure of valves?
The formula of Retarding force for gradual closure of valves is expressed as Retarding Force on Liquid in Pipe = Density of Fluid Inside the Pipe*Cross Sectional Area of Pipe*Length of Pipe*Flow Velocity through Pipe/Time Required to Close Valve. Here is an example- 319.889 = 1010*0.0113*1200*12.5/535.17.
How to calculate Retarding force for gradual closure of valves?
With Density of Fluid Inside the Pipe (ρ'), Cross Sectional Area of Pipe (A), Length of Pipe (L), Flow Velocity through Pipe (Vf) & Time Required to Close Valve (tc) we can find Retarding force for gradual closure of valves using the formula - Retarding Force on Liquid in Pipe = Density of Fluid Inside the Pipe*Cross Sectional Area of Pipe*Length of Pipe*Flow Velocity through Pipe/Time Required to Close Valve.
Can the Retarding force for gradual closure of valves be negative?
No, the Retarding force for gradual closure of valves, measured in Force cannot be negative.
Which unit is used to measure Retarding force for gradual closure of valves?
Retarding force for gradual closure of valves is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Retarding force for gradual closure of valves can be measured.
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