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Pressure of a Column of Fluid

The pressure of a column of fluid depends on the surface pressure and the depth of the column.

The pressure at the bottom of a fluid column equals the pressure at the top of a fluid column plus the product of the fluid density, the height of the fluid column and the acceleraiton of gravity.

Formula

QuantityVariable["P", "Pressure"] == Quantity[1, "StandardAccelerationOfGravity"]*QuantityVariable["h", "Height"]*QuantityVariable["ρ", "MassDensity"] + QuantityVariable[Subscript["P", "0"], "Pressure"]

symbol description physical quantity
P pressure at bottom of fluid column "Pressure"
h height of fluid column "Height"
ρ fluid density "MassDensity"
P0 pressure at top of fluid column "Pressure"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Pressure of a Column of Fluid"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Pressure of a Column of Fluid"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Pressure of a Column of Fluid"], {QuantityVariable[ "P","Pressure"] -> Quantity[102.9`, "Kilopascals"]}]
Out[3]=

Publisher Information