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Formula sheet No explanation is made on purpose Do not assume that you need to use every formula

You are expected to know the Energy, and Momentum balances. Formula sheet No explanation is made on purpose Do not assume that you need to use every formula. In this test always assume that K entrance = 0.5, K exit =1, K bend = 0.25.

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Formula sheet No explanation is made on purpose Do not assume that you need to use every formula

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  1. You are expected to know the Energy, and Momentum balances Formula sheet No explanation is made on purpose Do not assume that you need to use every formula In this test always assume that Kentrance = 0.5, Kexit =1, Kbend = 0.25 If the flow in the pipe is in fully developed turbulence In direction along contact surface Power At 100% eff = In this test assume that In a two dimensional velocity field If C = 0 velocity can be expressed in terns of a velocity potential If D= 0 velocity can be expressed in terns of a stream function

  2. Voller 1 Calculate the average capillary rise of water (g = 9810 N/m3) between two vertical plates spaced 1mm apart. (s = 0.073 N/m) The plate one the left is normal glass with a contact angle of 0o The plate on the right is surface treated glass with a contact angle of 600 Capillary force F, balance weight of liquid W For unit width into page

  3. Voller 2 The figure shows the cross-section of a submerged hinged gate ( weight 100 kN) in water (g = 9810 N/m3). The gate has an area of A = 4 m2 And a geometry such that the centroid axis (parallel to the hinge and into the page) is a slant distance 2 m below the hinge and The line of action of the center of pressure is a slant distance of 2.5 m below the hinge Determine the height of water h required to just open the gate. h 300

  4. 300 Voller 3 The water (r = 1000 kg/m3) in a jet of area A = 0.05 m2 is deflected by a cone. If an external horizontal force of Fx = -1kN (acting to the left) is applied to the cone Calculate, assuming the cone moves in the horizontal direction, the magnitude of the velocity of the cone relative to the water jet (i.e., the value of Vjet-Vcone ) Momentum balance

  5. Voller 4 Water (g = 9810 N/m3) flows from Tank A to Tank B at discharge of Q = 1 m3/s Through a pipe of Length 1000 m Diameter 0.5 m Surface roughness 0.1 mm Before entering Tank B the water is directed through a turbine with an 80% efficiency Assuming that the flow in the pipe is fully developed turbulence and approximating the Cross section as = 0.2 m2 calculate the power drawn from the turbine. A Power At 100% eff = 110 m B Kentrance = 0.5, Kexit =1, Kbend = 0.25 10 m turbine Energy from A to B

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