A plane jet of water from a stationary nozzle strikes a splitter vane and divides into ams as shown in the figure below. The vane moves with constant velocity U. Find the ate ratio, m, / m, , required to produce zero net vertical force on the splitter vane. Also, he horizontal force that must be applied under these conditions to maintain the vane eady speed.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 6: A plane jet of water from a stationary nozzle strikes a splitter vane and divides into
two flat streams as shown in the figure below. The vane moves with constant velocity U. Find the
mass flow rate ratio,m, I m, , required to produce zero net vertical force on the splitter vane. Also,
determine the horizontal force that must be applied under these conditions to maintain the vane
motion at steady speed.
Make following assumptions: 1) Ignore gravity; 2) Steady flow with respect to vane; 3)
Incompressible flow; 4) Uniform flow at each section; 5) Magnitude of relative velocity along
the vane is constant. Take pwater = 999 kg/m².
m2
A = 7.85 × 10-5 m²
U = 10.0 m/s
e = 30°
m3
V = 25.0 m/s
Transcribed Image Text:Problem 6: A plane jet of water from a stationary nozzle strikes a splitter vane and divides into two flat streams as shown in the figure below. The vane moves with constant velocity U. Find the mass flow rate ratio,m, I m, , required to produce zero net vertical force on the splitter vane. Also, determine the horizontal force that must be applied under these conditions to maintain the vane motion at steady speed. Make following assumptions: 1) Ignore gravity; 2) Steady flow with respect to vane; 3) Incompressible flow; 4) Uniform flow at each section; 5) Magnitude of relative velocity along the vane is constant. Take pwater = 999 kg/m². m2 A = 7.85 × 10-5 m² U = 10.0 m/s e = 30° m3 V = 25.0 m/s
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