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categoryالهندسة الميكانيكية schoolبكالوريوس event_available2026-07-15

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A. Oil with a viscosity of 10 mPa.s and density 900 kg/m³ is flowing through a 500 mm diameter pipe 10 km long. The pressure difference between the two ends of the pipe is 1 MPa. What will the pressure drop be at the same flowrate if it is necessary to replace the pipe by one only 300 mm in diameter? Assume the pipe surface to be smooth. (7.5-marks) B. A volute centrifugal pump with an impeller diameter of 0.02 m has the following performance data when pumping water at the best efficiency point (bep). Impeller speed N = 58.3 rev/s capacity Q=0.03 m³/s, total head Ah = 32 m, required NPSH = 4 m, and power = 3,000 W. Evaluate the performance data of a homologous pump with 2.5 the impeller diameter operating at 0.75 the impeller speed. (5.0-marks) Q5/ A. A general time-independent non-Newtonian liquid of density 850 kg/m³ flows steadily with an average velocity of 0.5 m/s through a tube 30 m long with an inside diameter of 0.05 m. For these conditions, point value of the pipe flow consistency coefficient Kp' has a value of 0.003 kg s-0.6/m (n=1.4) and Calculate the point values of the apparent viscosity for pipe flow (μa), the Reynolds number Re and the pressure drop across the tube. B. Choose the correct answer (a. True or b. False) 1. Weight density of any fluid is function of its mass density. 2. The mass flow rate and volumetric flow rate related by density only. 3. The shear stress increase when the fluid flow leaves away the pipe surface. 4. The apparent viscosity increases with shear rate of Newtonian fluid. (7.5-marks) a. True b. False a. True b. False b. False a. True a. True b. False 5. Fanning friction factor (f) for laminar flow of Non-Newtonian fluid flow is 16/Re. a. True b. False

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