2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the ta...
(30pts) Consider the liquid level system shown in the figure. Assume the outflow rate Q (m3/s) through the outflow value is related to the liquid level H by Assume also that, when the inflow rate Qi and outflow rate QOare at Q = 0015m3/s, the liquid level stays at constant H. The capacitance C of the tank is 2m2 Find the steady state value of the liquid level system H. Develop the governing equations for the liquid level system and...
6. Consider the liquid-level system shown. Assume that the outflow rate Q(m/s) through the outflow valve is related to the head H by: Q=kVH = 0.01VH Also assume when the inflow rate Qi is 0.015m3/s the head is constant. At t=0 the inflow valve is closed, so there is no flow for t0. Find the time necessary to empty the tank to half the original head. The area of the tank is 2m2 TIL Capacitance c
Considering the following liquid-level qo where the liquid is laminar flow and .0-steady-state flow rate (m'/s) . H-steady-state head (m) rate from the steady-state value (m/s) qi-small deviation of inflow . qo-small deviation ofoutflow rate from the steady-state value (m/s) h - small deviation of head from its steady-state value (m) . R-the resistance of the laminar flow in the output flow pipe · C-the capacitance of the tank Derive the differential equation model of the liquid-level-system with input as...
Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and outflow rate are both Ở and the flow rate between the tanks is zero. The heads at tank 1 and tank 2 are both H. At t = 0, the inflow rate is changed from 0 to + , where is the small change in the inflow rate. The resulting changes in the heads (h/ and h2) and flow rates are assumed to be...
5. (10 points) Consider the liquid-level system shown. At steady state, the inflow rate is Q: the outflow rates are Q1 and Q, respectively; the flow rate from tank 1 to tank 2 is Q12, and the heads of tanks 1 and 2 are H and H2, respectively. If the inflow rate is changed from Q to Q+q, determine the transfer function Hz(8)/Q(s). Assume the deviations 4,91,92,912, h, and hy are all small. 6th Jan Hathe +7 т/ н+А, JE>,+8....
please answer all of part i really need them ASAP ... The level ho of liquid in a vertical cylindrical tank as shown in Figure 4 is related to the inflow of liquid qi by the time domain equation d h dt where τ RLGL, the steady state gain of the system is G RL/pg and the tank capacitance, inlet ine ho outlet vave Tank Figure 4: Tank Level Process (a) You carry out some measurements on the tank and...
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....
1) Consider the tank shown below. Assume that the average operating level is h a. Derive the capacitance of the container. b. Find the time constant of the system. c. Derive the dynamic model of the head (transfer function), assuming that the inflow rate is q.and the outflow is q.. 0 20 20 0
INTRODUCTION TO MECHATRONICS. (Fluid System) 2) In the liquid level system shown in Figure, the resistances R = R, R, = 2R, and the inputs are the pressure source , and volume flow rate ĝe. • Obtain the differential equation model for the height h, assuming that h>D.
1 Consider the tank shown below. Assume that the average operating level is denoted by H.The resistance R is linear. The tank has three vertical walls and one that includes a segment with a slope. The distance separating the walls is 2m, also B-2m; and D-1.2m. The bottom of the tank is a square. a. Derive the capacitance of the container. b. Derive the time constant of the system. c. Find the transfer function that related the height in the...