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Water Hammer Pressure with Fast Closure

Water hammer (or, more generally, fluid hammer) is a pressure surge or wave caused when a fluid (usually a liquid, but sometimes also a gas) in motion is forced to stop or change direction suddenly (momentum change). A water hammer commonly occurs when a valve closes suddenly at an end of a pipeline system and a pressure wave propagates in the pipe. It is also called hydraulic shock.

The pressure difference equals the product of the fluid density, change in fluid velocity and the speed of sound.

Formula

QuantityVariable["Δ​P", "Pressure"] == QuantityVariable["ρ", "MassDensity"]*QuantityVariable[Row[{"δ", Style["v", Italic]}], "Speed"]*QuantityVariable[Subscript["v", "s"], "Speed"]

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Water Hammer Pressure with Fast Closure"]
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Get the formula:

In[2]:=
FormulaData[ResourceObject["Water Hammer Pressure with Fast Closure"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Water Hammer Pressure with Fast Closure"], {QuantityVariable[ "\[Rho]","MassDensity"] -> Quantity[1000, ("Kilograms")/("Meters")^3], QuantityVariable[Row[{"\[Delta]", \!\(\* StyleBox["\<\"v\"\>", StripOnInput->False, FontSlant->Italic]\)}],"Speed"] -> Quantity[1, ("Meters")/("Seconds")]}]
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Source Metadata

  • Creator:
  • Contributor:
  • Date: 1883

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