2. Bending a Jet of Water A classical example of the Bernoulli principle(s) is a deflecting...
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2. Bending a Jet of Water A classical example of the Bernoulli principle(s) is a deflecting a jet of water around a curved object. The jet of water, once it makes 'contact' with the object, follows the curvature of the surface and induces forces on it. You will analyze the forces on a round object, such as a dowel or your finger, moved to the edge of a jet of water. You may make the following assumptions: The water jet has a constant circular cross section with radius 0.1 cm. . The flow is inviscid. Gravitational effects may be neglected. The surface curvature in contact with the water jet is constant. See the figure below and answer the following questions in relation to the problem: U = 5 m/s r = 0.1 cm U = 5 m/s 40 degrees Figure 1: Bending a water jet with a rounded object a) Describe how changes in the water jet momentum result in the need to apply F and Fy to the object. b) Determine the magnitude and direction of the - and y-forces that must be applied to the object to hold it in place. Clearly draw the forces that must be applied to the object with their correct direction. c) Draw the streamlines for the flow around the object and use them to describe how the forces F and Fy are generated by the fluid on the object. 2. Bending a Jet of Water A classical example of the Bernoulli principle(s) is a deflecting a jet of water around a curved object. The jet of water, once it makes 'contact' with the object, follows the curvature of the surface and induces forces on it. You will analyze the forces on a round object, such as a dowel or your finger, moved to the edge of a jet of water. You may make the following assumptions: The water jet has a constant circular cross section with radius 0.1 cm. . The flow is inviscid. Gravitational effects may be neglected. The surface curvature in contact with the water jet is constant. See the figure below and answer the following questions in relation to the problem: U = 5 m/s r = 0.1 cm U = 5 m/s 40 degrees Figure 1: Bending a water jet with a rounded object a) Describe how changes in the water jet momentum result in the need to apply F and Fy to the object. b) Determine the magnitude and direction of the - and y-forces that must be applied to the object to hold it in place. Clearly draw the forces that must be applied to the object with their correct direction. c) Draw the streamlines for the flow around the object and use them to describe how the forces F and Fy are generated by the fluid on the object.
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