In the jet impact experiment, water jet impacts on a curved vane in the vertical direction. As shown in the figure below, the exit has an angle with respect to the vertical direction. The distance from the nozzle to the vane surface at the exit is h. The water volume flow rate is measured to be Q, the density of water is p, and the cross section area of the nozzle is Ao. Assume that the flow has reached the steady state. (1)】 Use the Bernoulli's equation to determine the velocity vout at the exit of the vane. Assume that friction between water and the curved vane can be neglected. (2) Apply the Reynolds transport theorem to derive the expression of the impact force F, on the curved vane (neglect the jet weight). (3) Under the condition of a fixed volume flow rate Q, determine the maximum impact force Fr,max that can be obtained when the angle varies (e.g. in different vane designs). Vout Ao Vout h

In the jet impact experiment, water jet impacts on a curved vane in the vertical direction. As shown in the figure below, the exit has an angle with respect to the vertical direction. The distance from the nozzle to the vane surface at the exit is h. The water volume flow rate is measured to be Q, the density of water is p, and the cross section area of the nozzle is Ao. Assume that the flow has reached the steady state. (1)】 Use the Bernoulli's equation to determine the velocity vout at the exit of the vane. Assume that friction between water and the curved vane can be neglected. (2) Apply the Reynolds transport theorem to derive the expression of the impact force F, on the curved vane (neglect the jet weight). (3) Under the condition of a fixed volume flow rate Q, determine the maximum impact force Fr,max that can be obtained when the angle varies (e.g. in different vane designs). Vout Ao Vout h

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

In the jet impact experiment, water jet impacts on a curved vane in the
vertical direction. As shown in the figure below, the exit has an angle with respect to
the vertical direction. The distance from the nozzle to the vane surface at the exit is h.
The water volume flow rate is measured to be Q, the density of water is p, and the cross
section area of the nozzle is A₁. Assume that the flow has reached the steady state.
(1)
Use the Bernoulli's equation to determine the velocity Vout at the exit of
the vane. Assume that friction between water and the curved vane can be neglected.
(2)
Apply the Reynolds transport theorem to derive the expression of the
impact force F, on the curved vane (neglect the jet weight).
(3)
Under the condition of a fixed volume flow rate Q, determine the maximum
impact force Fr,max that can be obtained when the angle varies (e.g. in different vane
designs).
Va out
9
Ao
Vout
h

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Step 2: Findint the relation for exit velocity using bernoulli's equation.

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