Initial Velocity of Water given Water Hammer Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow Velocity of Fluid = (Water Hammer Pressure in Environmental Eng.*Velocity of Sound in Water)/Bulk Modulus of Water
Vw = (Pw*C)/Kw
This formula uses 4 Variables
Variables Used
Flow Velocity of Fluid - (Measured in Meter per Second) - Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time.
Water Hammer Pressure in Environmental Eng. - (Measured in Pascal) - Water Hammer Pressure in Environmental Eng. is defined as pressure surge caused by a rapid change in flow velocity in the pipeline.
Velocity of Sound in Water - (Measured in Meter per Second) - Velocity of Sound in Water is about 1,480 meters per second.
Bulk Modulus of Water - (Measured in Pascal) - Bulk Modulus of Water is defined as the proportion of volumetric stress linked to the volumetric strain of definite material, although the deformation of the material is within the elastic limit.
STEP 1: Convert Input(s) to Base Unit
Water Hammer Pressure in Environmental Eng.: 1.8 Megapascal --> 1800000 Pascal (Check conversion ​here)
Velocity of Sound in Water: 1480 Meter per Second --> 1480 Meter per Second No Conversion Required
Bulk Modulus of Water: 191.69 Megapascal --> 191690000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vw = (Pw*C)/Kw --> (1800000*1480)/191690000
Evaluating ... ...
Vw = 13.8974385726955
STEP 3: Convert Result to Output's Unit
13.8974385726955 Meter per Second --> No Conversion Required
FINAL ANSWER
13.8974385726955 13.89744 Meter per Second <-- Flow Velocity of Fluid
(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Water Hammer Calculators

Water Hammer Pressure
​ LaTeX ​ Go Water Hammer Pressure in Environmental Eng. = (Flow Velocity of Fluid*Bulk Modulus of Water)/Velocity of Sound in Water
Water Hammer Pressure given Velocity of Sound in Water
​ LaTeX ​ Go Water Hammer Pressure in Environmental Eng. = (Flow Velocity of Fluid*Bulk Modulus of Water)/1434
Water Hammer Pressure given Ratio of Velocity of Water to Velocity of Sound in Water
​ LaTeX ​ Go Water Hammer Pressure in Environmental Eng. = (Ratio of Velocities*Bulk Modulus of Water)
Bulk Modulus of Elasticity of Water given Ratio of Velocities
​ LaTeX ​ Go Bulk Modulus of Water = Water Hammer Pressure in Environmental Eng./Ratio of Velocities

Initial Velocity of Water given Water Hammer Pressure Formula

​LaTeX ​Go
Flow Velocity of Fluid = (Water Hammer Pressure in Environmental Eng.*Velocity of Sound in Water)/Bulk Modulus of Water
Vw = (Pw*C)/Kw

What is Bulk Modulus of Elasticity?

The Bulk Modulus of Elasticity is one of the measures of the mechanical properties of solids. Other elastic modules include Young's modulus and Shear modulus. In any case, the bulk elastic properties of a material are used to determine how much it will compress under a given amount of external pressure.

How to Calculate Initial Velocity of Water given Water Hammer Pressure?

Initial Velocity of Water given Water Hammer Pressure calculator uses Flow Velocity of Fluid = (Water Hammer Pressure in Environmental Eng.*Velocity of Sound in Water)/Bulk Modulus of Water to calculate the Flow Velocity of Fluid, The Initial Velocity of Water given Water Hammer Pressure formula is defined as the value of initial velocity of water when we have prior information of water hammer pressure. It is the relationship between the velocity of water flow and the speed of sound through water. Flow Velocity of Fluid is denoted by Vw symbol.

How to calculate Initial Velocity of Water given Water Hammer Pressure using this online calculator? To use this online calculator for Initial Velocity of Water given Water Hammer Pressure, enter Water Hammer Pressure in Environmental Eng. (Pw), Velocity of Sound in Water (C) & Bulk Modulus of Water (Kw) and hit the calculate button. Here is how the Initial Velocity of Water given Water Hammer Pressure calculation can be explained with given input values -> 1332 = (1800000*1480)/191690000.

FAQ

What is Initial Velocity of Water given Water Hammer Pressure?
The Initial Velocity of Water given Water Hammer Pressure formula is defined as the value of initial velocity of water when we have prior information of water hammer pressure. It is the relationship between the velocity of water flow and the speed of sound through water and is represented as Vw = (Pw*C)/Kw or Flow Velocity of Fluid = (Water Hammer Pressure in Environmental Eng.*Velocity of Sound in Water)/Bulk Modulus of Water. Water Hammer Pressure in Environmental Eng. is defined as pressure surge caused by a rapid change in flow velocity in the pipeline, Velocity of Sound in Water is about 1,480 meters per second & Bulk Modulus of Water is defined as the proportion of volumetric stress linked to the volumetric strain of definite material, although the deformation of the material is within the elastic limit.
How to calculate Initial Velocity of Water given Water Hammer Pressure?
The Initial Velocity of Water given Water Hammer Pressure formula is defined as the value of initial velocity of water when we have prior information of water hammer pressure. It is the relationship between the velocity of water flow and the speed of sound through water is calculated using Flow Velocity of Fluid = (Water Hammer Pressure in Environmental Eng.*Velocity of Sound in Water)/Bulk Modulus of Water. To calculate Initial Velocity of Water given Water Hammer Pressure, you need Water Hammer Pressure in Environmental Eng. (Pw), Velocity of Sound in Water (C) & Bulk Modulus of Water (Kw). With our tool, you need to enter the respective value for Water Hammer Pressure in Environmental Eng, Velocity of Sound in Water & Bulk Modulus of Water 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 Flow Velocity of Fluid?
In this formula, Flow Velocity of Fluid uses Water Hammer Pressure in Environmental Eng, Velocity of Sound in Water & Bulk Modulus of Water. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Flow Velocity of Fluid = (Water Hammer Pressure in Environmental Eng.*1434)/Bulk Modulus of Water
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