(d) Water flows between two large reservoirs that have a level difference of 53 m. The 2 km pipe joining the reservoirs

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D Water Flows Between Two Large Reservoirs That Have A Level Difference Of 53 M The 2 Km Pipe Joining The Reservoirs 1 (70.3 KiB) Viewed 45 times

(d) Water flows between two large reservoirs that have a level difference of 53 m. The 2 km pipe joining the reservoirs has a sharp entrance, a sharp exit and a sudden sharp expansion at its midpoint. The first half of the pipeline has a diameter of 0.3 m and the second half is 0.6 m diameter, both halves have friction factors of λ = 0.04. (i) Evaluate the losses and complete the following table giving your answers in terms of V2. (8 marks) Pipe Section Formula Loss Entrance loss 0.5 V₁²/2g Friction loss 1 A₁L₁V₁²/d₁2g Expansion loss (V₁-V₂)²/ 2g Friction loss 2 A2L2V₂²/d₂2g Exit loss V₂²/2g

(ii) Calculate the discharge. (3 marks)