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Pressure rise for sudden closure of valve in elastic pipe Formula

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Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve. Check FAQs

p = (V f) \cdot (\sqrt{\frac{ρ'}{(\frac{1}{K}) + (\frac{D}{E \cdot (t p)})}})

p - Pressure Rise at Valve?V_f - Flow Velocity through Pipe?ρ' - Density of Fluid Inside the Pipe?K - Bulk Modulus of Liquid Hitting Valve?D - Diameter of Pipe?E - Modulus of Elasticity of Pipe?t_p - Thickness of Liquid Carrying Pipe?

Pressure rise for sudden closure of valve in elastic pipe Example

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Here is how the Pressure rise for sudden closure of valve in elastic pipe equation looks like with Values.

Here is how the Pressure rise for sudden closure of valve in elastic pipe equation looks like with Units.

Here is how the Pressure rise for sudden closure of valve in elastic pipe equation looks like.

1.7E+7 = (12.5) \cdot (\sqrt{\frac{1010}{(\frac{1}{2E+9}) + (\frac{0.12}{1.2E+11 \cdot (0.015)})}})

1.7E+7N/m² = (12.5m/s) \cdot (\sqrt{\frac{1010kg/m³}{(\frac{1}{2E+9N/m²}) + (\frac{0.12m}{1.2E+11N/m² \cdot (0.015m)})}})

1.7E+7 = (12.5) \cdot (\sqrt{\frac{1010}{(\frac{1}{2E+9}) + (\frac{0.12}{1.2E+11 \cdot (0.015)})}})

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Pressure rise for sudden closure of valve in elastic pipe Solution

Follow our step by step solution on how to calculate Pressure rise for sudden closure of valve in elastic pipe?

FIRST Step Consider the formula

p = (V f) \cdot (\sqrt{\frac{ρ'}{(\frac{1}{K}) + (\frac{D}{E \cdot (t p)})}})

Next Step Substitute values of Variables

∴

p = (12.5m/s) \cdot (\sqrt{\frac{1010kg/m³}{(\frac{1}{2E+9N/m²}) + (\frac{0.12m}{1.2E+11N/m² \cdot (0.015m)})}})

Next Step Convert Units

∴

p = (12.5m/s) \cdot (\sqrt{\frac{1010kg/m³}{(\frac{1}{2E+9Pa}) + (\frac{0.12m}{1.2E+11Pa \cdot (0.015m)})}})

Next Step Prepare to Evaluate

∴

p = (12.5) \cdot (\sqrt{\frac{1010}{(\frac{1}{2E+9}) + (\frac{0.12}{1.2E+11 \cdot (0.015)})}})

Next Step Evaluate

∴

p = 16688098.9647959Pa

Next Step Convert to Output's Unit

∴

p = 16688098.9647959N/m²

LAST Step Rounding Answer

∴

p = 1.7E+7N/m²

Pressure rise for sudden closure of valve in elastic pipe Formula Elements

Variables

Functions

Pressure Rise at Valve

Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve.

Symbol: p

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Pressure Rise at Valve

Flow Velocity through Pipe

Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity through Pipe

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.

Formulas to find Density of Fluid Inside the Pipe

Bulk Modulus of Liquid Hitting Valve

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.

Symbol: K

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Bulk Modulus of Liquid Hitting Valve

Diameter of Pipe

Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Modulus of Elasticity of Pipe

Modulus of Elasticity of Pipe is the pipe's resistance to being deformed elastically when stress is applied to it.

Symbol: E

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Pipe

Thickness of Liquid Carrying Pipe

Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.

Symbol: t_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Liquid Carrying Pipe

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.

Syntax: sqrt(Number)

Other formulas in Pressure and Flow Head category

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

H = (4 \cdot \frac{μ}{2 \cdot [g]}) \cdot ((L \cdot \frac{{V 1}^{2}}{D}) + (L \cdot \frac{{V 2}^{2}}{D}) + (L \cdot \frac{{V 3}^{2}}{D}))

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

H in = \frac{h f}{1 - η p}

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

Pressure rise for sudden closure of valve in elastic pipe evaluator uses Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid Inside the Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe)))))) to evaluate 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 evaluate Pressure rise for sudden closure of valve in elastic pipe using this online evaluator? To use this online evaluator for Pressure rise for sudden closure of valve in elastic pipe, enter Flow Velocity through Pipe (V_f), Density of Fluid Inside the 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_p) and hit the calculate button.

FAQs on Pressure rise for sudden closure of valve in elastic pipe

What is the formula to find Pressure rise for sudden closure of valve in elastic pipe?

The formula of Pressure rise for sudden closure of valve in elastic pipe is expressed as Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid Inside the Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe)))))). Here is an example- 1.7E+7 = (12.5)*(sqrt(1010/((1/2000000000)+(0.12/(120000000000*(0.015)))))).

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

With Flow Velocity through Pipe (V_f), Density of Fluid Inside the 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_p) we can find Pressure rise for sudden closure of valve in elastic pipe using the formula - Pressure Rise at Valve = (Flow Velocity through Pipe)*(sqrt(Density of Fluid Inside the Pipe/((1/Bulk Modulus of Liquid Hitting Valve)+(Diameter of Pipe/(Modulus of Elasticity of Pipe*(Thickness of Liquid Carrying Pipe)))))). This formula also uses Square Root (sqrt) function(s).

Can the Pressure rise for sudden closure of valve in elastic pipe be negative?

No, the Pressure rise for sudden closure of valve in elastic pipe, measured in Pressure cannot be negative.

Which unit is used to measure Pressure rise for sudden closure of valve in elastic pipe?

Pressure rise for sudden closure of valve in elastic pipe is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Pressure rise for sudden closure of valve in elastic pipe can be measured.

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Pressure rise for sudden closure of valve in elastic pipe Formula

Pressure rise for sudden closure of valve in elastic pipe Example

Pressure rise for sudden closure of valve in elastic pipe Solution

Pressure rise for sudden closure of valve in elastic pipe Formula Elements

Other formulas in Pressure and Flow Head category

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

FAQs on Pressure rise for sudden closure of valve in elastic pipe

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