Pressure rise for sudden closure of valve in elastic pipe Calculator

✖Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.ⓘ Flow Velocity through Pipe [V_f]			+10% -10%
✖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.ⓘ Density of Fluid in Pipe [ρ']			+10% -10%
✖Bulk Modulus of liquid hitting valve is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume in the liquid flowing and hitting the valve.ⓘ Bulk Modulus of Liquid Hitting Valve [K]			+10% -10%
✖Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D]			+10% -10%
✖Modulus of Elasticity of Pipe is the pipe's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity of Pipe [E]			+10% -10%
✖Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.ⓘ Thickness of Liquid Carrying Pipe [t_pipe]			+10% -10%

✖Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve.ⓘ Pressure rise for sudden closure of valve in elastic pipe [p]

⎘ Copy

👎

Formula

✖

Pressure rise for sudden closure of valve in elastic pipe

Formula

`"p" = ("V"_{"f"})*(sqrt("ρ'"/((1/"K")+("D"/("E"*("t"_{"pipe"}))))))`

Example

`"1.7E^7N/m²"=("12.5m/s")*(sqrt("1010kg/m³"/((1/"2E^9N/m²")+("0.12m"/("1.2E^11N/m²"*("0.015m"))))))`

Calculator

LaTeX

Reset

👍

Download Properties of Surfaces and Solids Formula PDF

Pressure rise for sudden closure of valve in elastic pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe))))))
p = (V_f)*(sqrt(ρ'/((1/K)+(D/(E*(t_pipe))))))
This formula uses 1 Functions, 7 Variables

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

Pressure Rise at Valve - (Measured in Pascal) - Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve.
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.
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.
Bulk Modulus of Liquid Hitting Valve - (Measured in Pascal) - Bulk Modulus of liquid hitting valve is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume in the liquid flowing and hitting the valve.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Modulus of Elasticity of Pipe - (Measured in Pascal) - Modulus of Elasticity of Pipe is the pipe's resistance to being deformed elastically when stress is applied to it.
Thickness of Liquid Carrying Pipe - (Measured in Meter) - Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity through Pipe: 12.5 Meter per Second --> 12.5 Meter per Second No Conversion Required
Density of Fluid in Pipe: 1010 Kilogram per Cubic Meter --> 1010 Kilogram per Cubic Meter No Conversion Required
Bulk Modulus of Liquid Hitting Valve: 2000000000 Newton per Square Meter --> 2000000000 Pascal (Check conversion here)
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Modulus of Elasticity of Pipe: 120000000000 Newton per Square Meter --> 120000000000 Pascal (Check conversion here)
Thickness of Liquid Carrying Pipe: 0.015 Meter --> 0.015 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = (V_f)*(sqrt(ρ'/((1/K)+(D/(E*(t_pipe)))))) --> (12.5)*(sqrt(1010/((1/2000000000)+(0.12/(120000000000*(0.015))))))

Evaluating ... ...

p = 16688098.9647959

STEP 3: Convert Result to Output's Unit

16688098.9647959 Pascal -->16688098.9647959 Newton per Square Meter (Check conversion here)

FINAL ANSWER

16688098.9647959 ≈ 1.7E+7 Newton per Square Meter <-- Pressure Rise at Valve

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Fluid Mechanics » Properties of Surfaces and Solids » Closed Channel » Pressure and Flow Head » Pressure rise for sudden closure of valve in elastic pipe

Credits

Created by Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

Shareef Alex has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 14 Pressure and Flow Head Calculators

Difference in liquid level in three compound pipes with same friction coefficient

Go Difference in Liquid Level = (4*Coefficient of Friction of Pipe/(2*[g]))*((Length of Pipe 1*Velocity at Point 1^2/Diameter of Pipe 1)+(Length of Pipe 2*Velocity at Point 2^2/Diameter of Pipe 2)+(Length of Pipe 3*Velocity at Point 3^2/Diameter of Pipe 3))

Pressure rise for sudden closure of valve in elastic pipe

Go Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe))))))

Loss of Head due to Obstruction in Pipe

Go Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2

Total head at inlet of pipe for head available at base of nozzle

Go Total Head at Inlet of Pipe = Head Base of Nozzle+(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))

Head available at Base of Nozzle

Go Head Base of Nozzle = Total Head at Inlet of Pipe-(4*Coefficient of Friction of Pipe*Length of Pipe*(Flow Velocity through Pipe^2)/(Diameter of Pipe*2*[g]))

Loss of head in equivalent pipe

Go Loss of Head in Equivalent Pipe = (4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])

Intensity of pressure wave produced for gradual closure of valves

Go Intensity of Pressure of Wave = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Time Required to Close Valve

Loss of Head due to Sudden Contraction

Go Loss of Head Sudden Contraction = Velocity of Fluid at Section 2^2/(2*[g])*(1/Coefficient of Contraction in Pipe-1)^2

Loss of head due to sudden enlargement at any particular section of pipe

Go Loss of Head Sudden Enlargement = ((Velocity of Fluid at Section 1-Velocity of Fluid at Section 2)^2)/(2*[g])

Loss of Head due to Bend in Pipe

Go Head Loss at Pipe Bend = Coefficient of Bend in Pipe*(Flow Velocity through Pipe^2)/(2*[g])

Total head available at inlet of pipe for efficiency of power transmission

Go Total Head at Inlet of Pipe = Head Loss Due to Friction in Pipe/(1-Efficiency for Pipe)

Head Loss due to Friction for Efficiency of Power Transmission

Go Head Loss Due to Friction in Pipe = Total Head at Inlet of Pipe*(1-Efficiency for Pipe)

Loss of Head at Entrance of Pipe

Go Head Loss at Pipe Entrance = 0.5*(Flow Velocity through Pipe^2)/(2*[g])

Loss of head at exit of pipe

Go Head Loss at Pipe Exit = (Flow Velocity through Pipe^2)/(2*[g])

Pressure rise for sudden closure of valve in elastic pipe Formula

What causes high pressure in the pipeline?

Pressure surges during transient operations occur when flow rates are changed in any piping system containing vapors, gasses, liquids, or combinations of these fluids. As valves are opened in pipelines containing pressurized gasses or vapors upstream of those valves, pressure transients occur in the downstream piping.

How do you increase pipe flow?

To change water flow, the opening of a pipe must be adjusted. Changing water pressure is different. To adjust pressure, the diameter or texture of the pipe must be altered using a different regulator/pump or regulator/pump setting.

How to Calculate Pressure rise for sudden closure of valve in elastic pipe?

Pressure rise for sudden closure of valve in elastic pipe calculator uses Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe)))))) to calculate the Pressure Rise at Valve, The Pressure rise for sudden closure of valve in elastic pipe formula is defined as the water flowing in a long pipe is suddenly brought to rest by closing the valve or by any similar cause, there will be a sudden rise in pressure due to the momentum of the moving water being destroyed. Pressure Rise at Valve is denoted by p symbol.

How to calculate Pressure rise for sudden closure of valve in elastic pipe using this online calculator? To use this online calculator for Pressure rise for sudden closure of valve in elastic pipe, enter Flow Velocity through Pipe (V_f), Density of Fluid in Pipe (ρ'), Bulk Modulus of Liquid Hitting Valve (K), Diameter of Pipe (D), Modulus of Elasticity of Pipe (E) & Thickness of Liquid Carrying Pipe (t_pipe) and hit the calculate button. Here is how the Pressure rise for sudden closure of valve in elastic pipe calculation can be explained with given input values -> 1.7E+7 = (12.5)*(sqrt(1010/((1/2000000000)+(0.12/(120000000000*(0.015)))))).

FAQ

What is Pressure rise for sudden closure of valve in elastic pipe?

The Pressure rise for sudden closure of valve in elastic pipe formula is defined as the water flowing in a long pipe is suddenly brought to rest by closing the valve or by any similar cause, there will be a sudden rise in pressure due to the momentum of the moving water being destroyed and is represented as p = (V_f)*(sqrt(ρ'/((1/K)+(D/(E*(t_pipe)))))) or Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe)))))). Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe, 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, Bulk Modulus of liquid hitting valve is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume in the liquid flowing and hitting the valve, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing, Modulus of Elasticity of Pipe is the pipe's resistance to being deformed elastically when stress is applied to it & Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.

How to calculate Pressure rise for sudden closure of valve in elastic pipe?

The Pressure rise for sudden closure of valve in elastic pipe formula is defined as the water flowing in a long pipe is suddenly brought to rest by closing the valve or by any similar cause, there will be a sudden rise in pressure due to the momentum of the moving water being destroyed is calculated using Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid in Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe)))))). To calculate Pressure rise for sudden closure of valve in elastic pipe, you need Flow Velocity through Pipe (V_f), Density of Fluid in Pipe (ρ'), Bulk Modulus of Liquid Hitting Valve (K), Diameter of Pipe (D), Modulus of Elasticity of Pipe (E) & Thickness of Liquid Carrying Pipe (t_pipe). With our tool, you need to enter the respective value for Flow Velocity through Pipe, Density of Fluid in Pipe, Bulk Modulus of Liquid Hitting Valve, Diameter of Pipe, Modulus of Elasticity of Pipe & Thickness of Liquid Carrying Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search