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Finite Volume Analysis: Application of Conservation of Linear Momentum

Example 2 Water is sprayed radially outward over 180^o as shown in the figure below.

The jet sheet is in a horizontal plane. The radial jet speed at the nozzle exit is 20 ft/sec.

Find the direction and magnitude of the resultant horizontal anchoring force required to

hold the nozzle in place. The radius, r, of the horizontal plates is 8 inches. The gap

between the horizontal plates, t, is 0.5 inches.

Step 1

Identify (draw) the control surface and control volume for the fluid flow.

Show the unit outward normal to surfaces across which flow occurs. The

figures below shows a top view of the horizontal plates with the control surface, control volume, and the unit outward normal, e_r .

Step 2

Write the equation for conservation of linear momentum and simplify for known values. Check for steady flow. Include the anchoring force, F_y.

Step 3

Solve for desired anchoring force.