Question

4. Forces F1 and F2 are applied to a flat plate as shown below. You decide to send a jet with flow rate $V_{in}$ to strike this plate at angle $\theta$. The flow is assumed to be incompressible, steady, and uniform. a) Use conservation of mass to show that volume flow rate $\dot{V}_{in} = \dot{V}_{out}$. b) Assuming also that the jet area is constant $A_{in} = A_{out}$, show that velocity $V_{in} = V_{out}$. c) Assuming you could adjust the plate so that the jet $V_{out}$ is deflected at an angle, at what angle would you need to deflect the jet to keep the plate fixed and keep all forces balanced?

          4. Forces F1 and F2 are applied to a flat plate as shown below. You decide to send a jet with flow rate $V_{in}$ to strike this plate at angle $\theta$. The flow is assumed to be incompressible, steady, and uniform.

a) Use conservation of mass to show that volume flow rate $\dot{V}_{in} = \dot{V}_{out}$.

b) Assuming also that the jet area is constant $A_{in} = A_{out}$, show that velocity $V_{in} = V_{out}$.

c) Assuming you could adjust the plate so that the jet $V_{out}$ is deflected at an angle, at what angle would you need to deflect the jet to keep the plate fixed and keep all forces balanced?

4. Forces F1 and F2 are applied to a flat plate as shown below. You decide to send a jet with flow rate Vin to strike this plate at angle θ. The flow is assumed to be incompressible, steady, and uniform.

a) Use conservation of mass to show that volume flow rate V̇in = V̇out.

b) Assuming also that the jet area is constant Ain = Aout, show that velocity Vin = Vout.

c) Assuming you could adjust the plate so that the jet Vout is deflected at an angle, at what angle would you need to deflect the jet to keep the plate fixed and keep all forces balanced?

Added by Lisa B.

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