A tank contains water (20°C) at the initial height ho, the area of the water surface...
please list assumptions, show work, and
explain your reasoning carefully! please don't forget all this
thanks
1. A tank contains water (20°C) at the initial height ho, the area of the water surface is Ar, the water flow from the bottom at a speed of v(t), the exit area is Aex- (a) Find the function of height h(t). (10 points) At hit) (b) Estimate the time t when all the water runs out. (10 points)
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...
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...
Problem 4 4.50 A conical flask contains water to height H=36.8 mm, where the flask diameter is D = 29.4 mm. Water drains out through a smoothly rounded hole of diameter d= 7.35 mm at the apex of the cone. The flow speed at the exit is approxi- mately V = V2gy, where y is the height of the liquid free surface above the hole. A stream of water flows into the top of the flask at constant volume flow...
.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...
IV.(6+4+2pts) Consider a cylindrical tank with the base area 100 cm2. The tank is initially filled with 2000 cc of water. If pure water enters at 10 cc/min and it flows out at the rate h (t) cc/min. Here, h(t) denotes the height of water in the tank at time t. Let V(t) be the volume of water in the tank at time t. (Note 1 cc 1cm3) (a) Set up the initial value problem of the ODE for V(t)...
(3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible. Figure 3: A tank draining (c) If you no longer assume that the...
Draining of cylindrical tank. You have a cylindrical tank full of water with a diameter =Dtank. The height (htank) is changing with time. You are draining the tank through a hole in the bottom. The hole has a diameter Dhole. The velocity of the water leaving the tank depends on the height of the water and can be given as: v2 = 2 g htank. When the hole is first opened, the height of the water is ho. Draw and...
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
slowly. Find an expression for the time T it takes to drain the
tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
3. (3 points) A tank of diameter D is filled with water up to a height h above the bottom of the tank (Figure 3). At the bottom of the tank is a hole of diameter d. Assume that the water flows out of the hole with a laminar flow and that the difference in atmospheric pressure between the top and the bottom of the tank is negligible Figure 3: A lank draining a) What speed will the water have...