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Fluid Mechanics Assignment Question 1 a) The 0.15m wide plate passes between two layers, A and B. of oil that has a viscosity of u = 0.04 Ns/m², see Fig.1a. Determine the force P required to move the plate at a constant speed of 6 mm/s. Neglect any friction at the end supports, and assume the velocity profile through each layer is linear. 6 mm -0.20 m [10 marks) Fig. 1a b) The pressure of the air at A within the closed tank is 200 kPa. Determine the resultant force acting on the plates BC and CD caused by the water. The tank has a width of 1.75 m. [15 marks] 2 m 1.5 m D Fig. 1b. -1.25m- [500665) Page 1 of 4
Question 2. a) Oil flows at 0.05 m/s through the transition as shown in Fig. 2a. If the pressure at the transition C is 8 kPa, determine the resultant horizontal shear force acting along the seam AB that holds the cap to the larger pipe. Take density of oil p = 900 kg/m. [10 marks) 300 mm 200 mm D Fig. 2a b) Water is discharged through the drain pipe at B from the large basin at 0.03 m/s. If the diameter of the drainpipe is d = 60 mm, determine the pressure at B just inside the drain when the depth of the water is h = 2m. [15 marks) Fig. 26 (500665) Page 2 of 4
Question 3. The velocity of the stream flowing from the side of the tank as shown in Fig.3 is thought to depend upon the liquid's density p, the depth h, and the acceleration of gravity g. Determine the relation between V and these parameters. a) Identify a set of primary dimensions and select repeating variables. [10 marks] b) Identify the Il Term(s). [10 marks) c) Write down the final functional relationship using the Il Term(s). [5 marks) Fig. 3 [500665) Page 3 of 4
Question 4 (a) Air at a temperature of 40°C flows into the nozzle at 6 m/s and then exits to the atmosphere at B, where the temperature is 0°C. Determine the pressure at A. [15 marks] 300 mm 100 mm 6 m/s Fig. 4a (b) As oil flows through the 20 m long. 200 mm diameter pipeline, it has a constant average velocity of 2 m/s. Friction losses along the pipe cause the pressure at B to be 8 kPa less than the pressure at A. Determine the resultant friction force on this length of pipe. Take p = 880 kg/m [10 marks] Fig. 4b End of Questions [500665) Page 4 of 4