Retarding force for gradual closure of valves Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Fr = ρ'*A*L*Vf/T
This formula uses 6 Variables
Variables Used
Retarding Force on Liquid in Pipe - (Measured in Newton) - Retarding force on liquid in pipe is the force acting on the liquid slowing it down when the valve is closed.
Density of Fluid in Pipe - (Measured in Kilogram per Cubic Meter) - Density of fluid in pipe material shows the mass of the liquid in a specific given volume. This is taken as mass per unit volume.
Cross Sectional Area of Pipe - (Measured in Square Meter) - 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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Flow Velocity through Pipe - (Measured in Meter per Second) - Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.
Time Required to Close Valve - (Measured in Second) - Time required to close valve is the amount of time required for closing the valve.
STEP 1: Convert Input(s) to Base Unit
Density of Fluid in Pipe: 1010 Kilogram per Cubic Meter --> 1010 Kilogram per Cubic Meter No Conversion Required
Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 Square Meter No Conversion Required
Length of Pipe: 1200 Meter --> 1200 Meter No Conversion Required
Flow Velocity through Pipe: 12.5 Meter per Second --> 12.5 Meter per Second No Conversion Required
Time Required to Close Valve: 535.17 Second --> 535.17 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fr = ρ'*A*L*Vf/T --> 1010*0.0113*1200*12.5/535.17
Evaluating ... ...
Fr = 319.889007231347
STEP 3: Convert Result to Output's Unit
319.889007231347 Newton --> No Conversion Required
FINAL ANSWER
319.889007231347 319.889 Newton <-- Retarding Force on Liquid in Pipe
(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

Retarding force for gradual closure of valves Formula

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
Fr = ρ'*A*L*Vf/T

What is retarding force?

Retardation is the act or result of delaying and the forces that resist relative motion like air resistance or friction are called retarding forces.

What is water hammer in pipes?

Water hammer is a phenomenon that can occur in any piping system where valves are used to control the flow of liquids or steam.

How to Calculate Retarding force for gradual closure of valves?

Retarding force for gradual closure of valves calculator uses 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 to calculate 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 calculate Retarding force for gradual closure of valves using this online calculator? To use this online calculator for Retarding force for gradual closure of valves, enter Density of Fluid in Pipe (ρ'), Cross Sectional Area of Pipe (A), Length of Pipe (L), Flow Velocity through Pipe (Vf) & Time Required to Close Valve (T) and hit the calculate button. Here is how the Retarding force for gradual closure of valves calculation can be explained with given input values -> 5706.5 = 1010*0.0113*1200*12.5/535.17.

FAQ

What is Retarding force for gradual closure of valves?
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 and is represented as Fr = ρ'*A*L*Vf/T or 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. Density of fluid in pipe material shows the mass of the liquid in a specific given volume. This is taken as mass per unit volume, 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, Length of Pipe describes the length of the pipe in which the liquid is flowing, Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe & Time required to close valve is the amount of time required for closing the valve.
How to calculate Retarding force for gradual closure of valves?
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 is calculated using 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. To calculate Retarding force for gradual closure of valves, you need Density of Fluid in Pipe (ρ'), Cross Sectional Area of Pipe (A), Length of Pipe (L), Flow Velocity through Pipe (Vf) & Time Required to Close Valve (T). With our tool, you need to enter the respective value for Density of Fluid in Pipe, Cross Sectional Area of Pipe, Length of Pipe, Flow Velocity through Pipe & Time Required to Close Valve 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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