Pressure Variation In A Fluid At Rest.
The pressure at any point in a fluid at rest is obtained by the Hydrostatic Law which states that the rate of increase of pressure in a vertically downward direction must be equal to the specific weight of the fluid at that point. This is proved as :
Consider a small fluid element as shown in figure :
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Forces on a fluid element. |
Let ∆A = Cross -sectional area of element
∆Z = Height of fluid element
p = Pressure on face AB
Z = Distance of fluid element from free surface.
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Derivation of Hydrostatic Law. |
The End.
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