Fluid Statics Click here for calculation of Pressure
Forces on Submerged Plates
In a Nutshell: To investigate pressure at a point start
with a free body diagram of an arbitrary piece of
fluid as shown in the figure below and sum forces in the y and z directions. Σ Fy = Py δy δz – Ps δs
δx sin θ = 0 and δs sin θ
= δz So Py = Ps Σ Fz = Pz δy δx – Ps δs
δx cos θ =
0 and δs cos θ = δy So Pz = Ps Result: Ps = Py
= Pz Pressure
at a point is independent of direction. Another
important question is, “How does the
fluid pressure vary from point to point? “ In a Nutshell: To investigate how pressure varies from
point to point construct a free body diagram of
an arbitrary volume of fluid and sum forces in the x, y, and z directions. Note that gravity results in
a pressure gradient (change in pressure) from point to point.
Click
here to view the FBD and to continue discussion. Click
here to go on to applications such as manometers. |
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