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Pressure rise for sudden closure of valve in elastic pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
pressure = (Velocity of water)*(sqrt(Water Density/((1/Bulk Modulus)+(Diameter of Pipe/(Modulus of Elasticity*(Thickness of pipe))))))
P = (V)*(sqrt(ρWater/((1/K)+(D/(E*(t))))))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Velocity of water - Velocity of water is defined as the rate of change of displacement of water. (Measured in Meter per Second)
Water Density - Water Density is mass per unit of water. (Measured in Kilogram per Meter³)
Bulk Modulus - The Bulk Modulus is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. (Measured in Newton per Square Meter)
Diameter of Pipe - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing. (Measured in Centimeter)
Modulus of Elasticity - Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it. (Measured in Megapascal)
Thickness of pipe - Thickness of pipe is the smaller dimention of pipe . (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Velocity of water: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Water Density: 1000 Kilogram per Meter³ --> 1000 Kilogram per Meter³ No Conversion Required
Bulk Modulus: 1000 Newton per Square Meter --> 1000 Pascal (Check conversion here)
Diameter of Pipe: 2 Centimeter --> 0.02 Meter (Check conversion here)
Modulus of Elasticity: 10 Megapascal --> 10000000 Pascal (Check conversion here)
Thickness of pipe: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (V)*(sqrt(ρWater/((1/K)+(D/(E*(t)))))) --> (5)*(sqrt(1000/((1/1000)+(0.02/(10000000*(3))))))
Evaluating ... ...
P = 4999.99833333417
STEP 3: Convert Result to Output's Unit
4999.99833333417 Pascal --> No Conversion Required
FINAL ANSWER
4999.99833333417 Pascal <-- Pressure
(Calculation completed in 00.016 seconds)

10+ Flow through pipes Calculators

Difference in liquid level in three compound pipes with same friction coefficient
difference_in_liquid_level = (4*Coefficient of Friction/(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 3^2/Diameter of pipe 3)) Go
Power transmission through pipes
power_transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity/4000)*(Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(Flow Velocity^2)/(Diameter of Pipe*2*[g]))) Go
Maximum area of obstruction in the pipe
maximum_area_of_obstruction = Cross sectional area of Pipe-((Cross sectional area of Pipe*Velocity of the fluid particle)/(Coefficient of contraction*Velocity of liquid vena contracta)) Go
Discharge in the equivalent pipe
discharge = sqrt((Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*Coefficient of Friction*Length of Pipe)) Go
Coefficient of contraction for sudden contraction
coefficient_of_contraction = Velocity at section 2-2/(Velocity at section 2-2+sqrt(Loss of head sudden contraction*2*[g])) Go
Diameter of the equivalent pipe
diameter_of_pipe = ((4*16*(Discharge^2)*Coefficient of Friction*Length of Pipe)/((pi^2)*2*Loss of head*[g]))^(1/5) Go
Length of the equivalent pipe
length_of_pipe = (Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*(Discharge^2)*Coefficient of Friction) Go
Area of the pipe for maximum power transmission through nozzle
area_of_pipe = Nozzle area at outlet*sqrt(8*Coefficient of Friction*Length of Pipe/Diameter of Pipe) Go
Power lost due to sudden enlargement
power = (Density of Fluid*[g]*Discharge*Loss of head sudden enlargement)/1000 Go
Diameter of nozzle for maximum power transmission through nozzle
diameter_of_nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction*Length of Pipe))^0.25 Go

Pressure rise for sudden closure of valve in elastic pipe Formula

pressure = (Velocity of water)*(sqrt(Water Density/((1/Bulk Modulus)+(Diameter of Pipe/(Modulus of Elasticity*(Thickness of pipe))))))
P = (V)*(sqrt(ρWater/((1/K)+(D/(E*(t))))))

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 = (Velocity of water)*(sqrt(Water Density/((1/Bulk Modulus)+(Diameter of Pipe/(Modulus of Elasticity*(Thickness of pipe)))))) to calculate the Pressure, 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 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 Velocity of water (V), Water Density Water), Bulk Modulus (K), Diameter of Pipe (D), Modulus of Elasticity (E) & Thickness of pipe (t) 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 -> 4999.998 = (5)*(sqrt(1000/((1/1000)+(0.02/(10000000*(3)))))).

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)*(sqrt(ρWater/((1/K)+(D/(E*(t)))))) or pressure = (Velocity of water)*(sqrt(Water Density/((1/Bulk Modulus)+(Diameter of Pipe/(Modulus of Elasticity*(Thickness of pipe)))))). Velocity of water is defined as the rate of change of displacement of water, Water Density is mass per unit of water, The Bulk Modulus is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing, Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it & Thickness of pipe is the smaller dimention of pipe .
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 = (Velocity of water)*(sqrt(Water Density/((1/Bulk Modulus)+(Diameter of Pipe/(Modulus of Elasticity*(Thickness of pipe)))))). To calculate Pressure rise for sudden closure of valve in elastic pipe, you need Velocity of water (V), Water Density Water), Bulk Modulus (K), Diameter of Pipe (D), Modulus of Elasticity (E) & Thickness of pipe (t). With our tool, you need to enter the respective value for Velocity of water, Water Density, Bulk Modulus, Diameter of Pipe, Modulus of Elasticity & Thickness of pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure?
In this formula, Pressure uses Velocity of water, Water Density, Bulk Modulus, Diameter of Pipe, Modulus of Elasticity & Thickness of pipe. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • maximum_area_of_obstruction = Cross sectional area of Pipe-((Cross sectional area of Pipe*Velocity of the fluid particle)/(Coefficient of contraction*Velocity of liquid vena contracta))
  • discharge = sqrt((Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*Coefficient of Friction*Length of Pipe))
  • diameter_of_pipe = ((4*16*(Discharge^2)*Coefficient of Friction*Length of Pipe)/((pi^2)*2*Loss of head*[g]))^(1/5)
  • length_of_pipe = (Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*(Discharge^2)*Coefficient of Friction)
  • difference_in_liquid_level = (4*Coefficient of Friction/(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 3^2/Diameter of pipe 3))
  • power = (Density of Fluid*[g]*Discharge*Loss of head sudden enlargement)/1000
  • coefficient_of_contraction = Velocity at section 2-2/(Velocity at section 2-2+sqrt(Loss of head sudden contraction*2*[g]))
  • power_transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity/4000)*(Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(Flow Velocity^2)/(Diameter of Pipe*2*[g])))
  • diameter_of_nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction*Length of Pipe))^0.25
  • area_of_pipe = Nozzle area at outlet*sqrt(8*Coefficient of Friction*Length of Pipe/Diameter of Pipe)
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