Dynamic Force on Spillways
DYNAMIC FORCE ON SPILLWAYS
- There is a continuous change in the velocity of water when water flows over the curved surface of the ogee spillway.
- The continuous change in velocity phenomenon induces a change in momentum from section to section and thus causes a force on the spillway structure.
- This force is a know as dynamic force.
- Consider two sections A and B of water on the curved surface.
- The resultant of the forces on the element of water is as follows.
\[\Sigma F= pQ\bigtriangleup V\]
Or
\[\Sigma F= pQ(V_{2}-V_{1})\]
Where
\[r=\frac{w}{g}=Mass -density- of- water\]
Q=discharge
V2-V1=change in velocity from section B to A
\[Resolving -equation .\Sigma F=pQ(V_{2}-_{1})horizontally.and .vertically- we -get\]
\[\Sigma F_{h}= pQ(V_{2}h-V_{1_{h}})\]
- The forces Fh and Fv are the forces acting on free body of water.
- These forces include gravity force, hydrostatic pressures and reactions of any object in contact with water.
