In this solution some basic concepts and formulas of Fluid Mechanics are used. For more information, refer to any standard textbook or drop a comment below. Please give a Thumbs Up, if solution is helpful.
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4 Water enters a circular, constant area tank through a horizontal pipe at a volume flowrate of Q- 0.35 ft/sec. Water e...
7 Water is flowing into the top of an open cylindrical tank (diameter D) at a volume flow rate of e and out of a hole in the bottom at a rate of O The tank is made of wood that is very porous and the water is leaking out through the wall uniformly at a rate of q per unit of wetted surface area. The initial depth of water in the tank is 2,. Derive an equation for the...
QUESTION 2 The system shown below is a fermentation tank. In this, water (with dissolved glucose) enters the tank with a flow rate of q: [L/min) and a glucose concentration of c [mol/L). During reaction, glucose is converted at a rate of n = -VKc (where n is the moles of glucose converted per minute [mol/min), V is the volume of fluid in the tank (L'), and K is the reaction rate). The tank has a cross-sectional area of A....
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...
I only want the answer for No 2 Note: The time it takes to get a two-liter bottle empty is given in the picture I only want the answer for No 2 Let h(t) and V(t) be the height and volume of water in a tank at time t. If water drains through a hole with area a at the bottom of the tank, then Torricelli's Law says that dV dt where g is the acceleration due to gravity. So...
Question 1 (15 points): An incompressible fluid (such as water) enters the tank and exits through the valve in the bottom. The fluid height (also known as head) in the tank is variable. The valve resistance is R. Derive the system equation with input q, and output h. Hint: Review modeling examples in Chapter 2 of the text book A = Tank surface area ,p-water density Output flow Question 1 (15 points): An incompressible fluid (such as water) enters the...
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?
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...
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...