. For the cylindrical tank, determine: Answer each in terms of D, h, d, g, and p a)Exit Velocity ...
Consider the draining problem of liquid water under gravity (g) from a cylindrical tank of diameter D with initial water height of h, above the nozzle of a much smaller diameter d (see schematic below). The height h of the water free surface above the nozzle in the tank will drop with time t. The following functional form between h and t should exit, h= f(t,d,D,g,h.) You are asked to do the following: 2.1 Express each of the variables in...
Tank 1: Tank 2: Water h(t) h(t) Q1 (70 pts). Suppose experiments have been performed to determine the exit velocity (u) as a function of water height (h) for two different tanks. In Tank I, a smooth rounded nozzle with a diameter of a 2 cm is used whereas a square gate opening with a 2 cm side is utilized in Tank 2. The measured flow rates at different tank heights are given further below; the initial height for both...
The open cylindrical tank in the figure contains water and is being filled as shown. Assume incompressible flow with pwater = 1000 kg/m^3. 1. (15 marks): The open cylindrical tank in the figure contains water and is being filled as shown. Assume incompressible flow, with water = 1000 kg/m3. a) Write the mass transport equation and note that the flow may not be steady, which implies that the rate of change of mass in the control volume needs not be...
A large cylindrical tank with diameter D is open to the air at the top. The tank contains water to a height H. A small circular hole with diameter d<< D is then opened at the bottom of the tank. Ignore any viscosity effects. (a) Find the height y of water in the tank as a function of time t after the hole is opened. (b) If the initial height H of the water is doubled, by what factor does...
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...
The tank pictured in Figure 2 with height H and diameter D contains water, which drains through a small round hole with diameter d. Torricelli’s law states that the average velocity v of the draining water is , where g is the acceleration of gravity and h the water level. Derive an expression to describe the time taken for the tank to drain, if it is initially full of water. Future interplanetary astronauts could use the tank as a simple...
Part A A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D. The hose shoots the water at 45 above the horizontal from the same level as the base of the tank and is a distance 6D away (the figure (Figure 1)). For what range of launch speeds (tvo) willthe water enter the tank? Ignore air resistance, and express your answer in terms of D and g View Available Hintls) Ubmin, ThA...
The figure shows a cylindrical tank of 80 em in diameter which is fully filled with water. In order to increase the flow from the tank to the exit pipe on the left, an additional pressure is applied to the water surface by an air compressor to supply air to the upper air chamber of the tank. The external walls of the tank are exposed to the atmospheric conditions of the area. You are required to determine the hydrostatic conditions...
1. Atall cylindrical tank, held above ground on stilts, is partially filled with water. (See top figure). The tank has a diameter, D. At time equal to zero, a hole of diameter d is poked in the bottom of the tank, where d<< D. Let z-0 correspond to the bottom of the tank. The initial fluid height is za. Had Use Bernoulli equation to assess the velocity of the fluid as it leaves the bottom of the tank as a...
Problem 2: The outfall from a large settling tank of diameter D of a sewage treatment plant discharges water with density pe to a lake with density Pu- The surface of the pond is h above sea level and the discharge of the outfall pipe is H below sea level. The outfall pipe is length L and diameter d. Assume the flow rate of the treated water is small compared to the volume of the lake so the lake density...