IV.(6+4+2pts) Consider a cylindrical tank with the base area 100 cm2. The tank is initially fille...
A cylindrical tank is being filled with water. The tank is initially empty but then water begins to flow into it at a rate of 62.00 kg/min. There is a small hole of radius r = 0.7000 cm at the bottom of the tank where water can escape. Because the flow rate of water leaving the hole is initially at a slower rate than water entering the tank, the water level rises. The average velocity of water leaving through the...
.Emergency Coolant Injection from an Accumulator Tank (8 marks) Consider an accumulator tank with a cross sectional area of A,-10m, and a height of H-6m, initially filled with 5m of water as shown in the figure. The top of the tank is closed and filled with air at an initial pressure of P, 1,101 kPa At time -Os, the water starts to discharge from an opening at the bottom of the tank with an opening area of A2 0.001m2. The...
*1.5.36 A tank initially contains 90 gal of pure water. Brine containing 4 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes...
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Figure 1 below. Provide: Asketch of the analogous flow network using a capacitor symbol to indicate liquid a. volume storage. b. Let h liquid level height;t time; R 988.1(h)0 V 0.5+0.5cos(0.05t), the inlet flow rate; D 2.5, tank diameter; y 60; liquid specific weight; and ho 10, initial h Assume that the units are consistent and the exit pressure...
A fluid of constant density (p) at 40 °F (T) is flowing into an initially empty cylindrical tank of radius 10 ft. The cylindrical vešsel is jacketed and heated with saturated steam (T) at 212 °F.The steam jacket does not cover either the top or bottom of the tank. The heat capacity of liquid (Cp liquid is near to that of water. The vessel is well stirred and the heat resistance of the jacket is negligible as are the heat...
Water flows into a storage tank of cross-sectional area 4 squared ft, and flows out by gravity. The outflow of water is given to be F=2h (h in feet and F in cubic ft per min) is the height of the tank. The inflow is steady at 2 cubic feet. What is the time constant and process gain?
Consider a hemi-spherical tank with radius R = 16 see figure that is initially entirely filled with a fluid. At time t=0, the fluid begins to drain through an opening in the bottom of the tank see figure] until the tank is completely empty at t = tend- t= 0 te (0, tend) (a) At any time t, consider the maximum depth of fluid in the tank, h = h(t), and the corresponding radius of the surface of the fluid,...
4 Water enters a circular, constant area tank through a horizontal pipe at a volume flowrate of Q- 0.35 ft/sec. Water exits the tank through a 2 inch diameter hole with exit velocity Vexi(2gh) where h is the vertical distance from the exit hole to the water surface a) Draw a neat, detailed control volume directly on the drawing of the water tank below. Carefully identify all control surfaces b) Develop a differential equation that can be solved for h...
4) A cylindrical can (radius 10 millimeters) is used to measure rainfall in Stormville. The can is initially empty and rain enters the can during a 60-day period. The height of water in the can is modeled by the function S, where S(t) is measured in millimeters and t is measured in days for 0sts 60. The rate at which the height of water is rising in the can is given by S'(t) = 2 sin(0.03t) of the 60-day period?...
A solution of water and dissolved salt enters a cylindrical vessel with radius R. The volumetric inlet flow rate of solution in the vessel is q1 and the concentration of salt in the inlet is c1. The solution inside the vessel is kept well-stirred (assume perfect and instantaneous mixing, and constant density of the mixture) and flows out of the tank with flow rate q2 (see Figure 1). Knowing that initially the vessel only contains pure water and that the...