Winnie the pooh has decided to start up a honey lemonade production factory. She has hired a fluid mechanic expert Mr Teoh in designing a fluid flow system for production factory, particularly from the mixing tank to the sterilization tank. The pump draws the honey lemonade (p = 985 kg/ m) from the mixing tank (with a venting valve that allow gas exchange with atmosphere) via the suction pipe and subsequently delivers it to the rectangular sterilization tank (2.51-m wide and 3.68-m long) via the discharge pipe. During fluid transfer, it is expected that the fluid level of the sterilization tank will rise by 50.8 cm within 15 s. It is also known that the force acting on the free surface of sterilization tank is 620 kN. It is estimated that there are head losses of 3.5-m in the suction pipe and 10.67-m in the discharge pipe. Both pipes have a uniform diameter of 15 cm. Discharge pipe 12.20 m Sterilization tank Suction pipe Pump 3.05 m Vent (3 Mixing tank (a) Calculate the (i) rising velocity of honey lemonade in the sterilization tank, (ii) pressure at the free surface of sterilization tank, (ii) volumetric flow rate of the honey lemonade in this fluid flow system, (iv) velocity of honey lemonade inside the suction pipe, (v) velocity of honey lemonade inside discharge pipe, and (vi) mass flow rate of the honey lemonade in this fluid flow system. (3 Marks) (b) If the outlet pump pressure is interested, write down 6 analysis/assumptions statements that are useful in simplifying the conservation principles. [Hint: select two appropriate points for the analysis.] (3 Marks) (c) By using simplifications in part (b), calculate the outlet pressure of pump. (5 Marks) CONFIDENTIAL (d) If the pump head is interested, write down 8 analysis/assumptions statements that are useful in simplifying the conservation principles. [Hint: select two appropriate points for analysis.] (4 Marks) (e) By using simplifications in part (b), calculate the required pump head. (5 Marks) Flow