1. Water at 93.3C is being pumped from a large storage tank at 1atm abs at a rate of 0.189m3/min by a pump. The motor that drives the pump supplies energy to the pump at a rate of 1.49kW. The water is pumped through a heat exchanger, where it gives up 704KW of heat and is then delivered to a large storage tank at an elevation of 15.24m above the first tank. What is the final temperature of the water to the second second tank? Also what is the gain in enthalpy of the water due to work input? (Hint: be sure to use the steam tables for the enthalpy of the water. Neglect any kinetic energy changes but not the potential energy changes) 2. Soybean oil is being pumped through a uniform diameter pipe at a steady mass flow rate. A pump supplies 209.2J/kg mass of fluid flowing. The entrance abs pressure in the inlet of the pipe to the pump is 103.4kPa. The exit section of the pipe downstream from the pump is 3.35m above the entrance and the exit pressure is 172.4kPa. Exit and entrance pipes are of the same diameter. The flow is turbulent. Calculate the friction loss in the system. The temperature is 303K. See handbooks for the properties of soybean. 3. Water having a density of 998kg/m3 is flowing at a rate of 1.676m/s in a 3.06in. diameter horizontal pipe at a pressure p1 of 68.9kPa abs. It then passes to a pipe having an inside diameter of 2.067 in. a. Calculate the new pressure p2 in the 2.067 in. pipe. Assume no friction losses. b. If the piping is vertical and flow is upward, calculate the new pressure p2. The pressure tap for p2 is 0,457m above the tap for p1. 4. A cylindrical tank 1.52m in diameter and 7.62m high contains cottonseed oil having a density of 917kg/m3. The tank is open to the atmosphere. A discharge nozzle of inside diameter 15.8mm and cross sectional area A2 is located near the bottom of the tank. The surface of the liquid is located at H=6.1m above the centre line of the nozzle. The discharge nozzle is opened, draining the liquid level from H=6.1 to 4.7 m. Calculate the time in seconds to do this. [Hint: the velocity on the surface of the reservoir is small and can be neglected.] 5. Water is flowing at steady state and 363K at a rate of 0.0566m3/s through a 60 reducing bend ( ). The inlet pipe diameter is 0.1016m and the outlet 0.0762m. The friction loss in the pipe bend can be estimated as v22/5. Neglect gravity forces. The exit pressure p2=111.5kN/m2 gage. Calculate the forces on the bend in newtons. 6. A liquid having a density of 801kg/m3 and a viscosity of 1.49103Pa.s is flowing through a horizontal straight pipe at a velocity of 4.57m/s. The commercial steel pipe is 1.5 in. in nominal pipe size, schedule 40 . For a length of pipe of 61m, do as follows: a. Calculate the friction loss Ff. b. For a smooth tube of the same inside diameter, calculate the friction loss. What is the percentage reduction of Ff for the smooth tube? 1. Water with density of 998kg/m3 is flowing at a steady mass flow rate through a uniform-diameter pipe. The entrance pressure of the fluid is 68.9KPa abs in the pipe, which connects to a pump that supplies 155.4J/kg of fluid flowing in the pipe. The exit section of the pipe is 3.05m higher than the entrance, and the pressure is 137.8KPa abs. Assuming the flow is turbulent, calculate the frictional loss F in the pipe system. 2. Water is discharging from a tank through a convergent-divergent mouthpiece. The exit from the tank is rounded so that losses there may be neglected and the minimum diameter is 0.05m. If the head in the tank above the centre-line of the mouthpiece is 1.83m. a. What is the discharge? b. What must be the diameter at the exit if the absolute pressure at the minimum area is to be 2.44m of water? c. What would the discharge be if the divergent part of the mouth piece were removed. (Assume atmospheric pressure is 10m of water). MEWORK A jet of water having velocity of 30.5m/s and a diameter of 25.4mm is deflected by a smooth, curved vane as shown in the fig below, where 2=60. What is the force of the jet on the vane? A Venturimeter of throat diameter 0.076m is fitted in a 0.152m diameter vertical pipe in which liquid of relative density 0.8 flows downwards. Pressure gauges are fitted to the inlet and to the throat sections. The throat being 0.914m below the inlet. Taking the coefficient of the meter as 0.97 find the discharge a) when the pressure gauges read the same b)when the inlet gauge reads 15170N/m2 higher than the throat gauge. [0.0192m3/s,0.034m3/s] MEWORK 1. Water is to flow through a horizontal commercial steel pipe having a length of 305m at the rate of 0.00946m3/s. A head of water of 6.1m is available to overcome the friction loss, hf. Calculate the pipe diameter. 2. 0.015m3/s of acetic acid is pumped through a 75mm diameter horizontal pipe 70 m long. What is the pressure drop in the pipe? Viscosity of acid is 2.5mNs/m2, density of acid is 1060kg/m3, and roughness of pipe surface is 6105m