INTRODUCTION TO MECHATRONICS. (Fluid System)
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INTRODUCTION TO MECHATRONICS. (Fluid System)
2) In the liquid level system shown in Figure, the resistances...
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Fi...
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...
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the ta...
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the tank is given varies as a function of the height of the fluid in the tank, QVe Bpg kg.s-1. The area of the base of the tank is A 1 m2. The answers to the below questions can be left in terms of p and g. (a) [5 points] - Derive the differential equation for the height of the fluid in the...
Liquid-level system
Consider the liquid level system shown below. Suppose that i1 q and i2 q are system inputs.
Also, assume that 2 h is system output. Then obtain transfer function under the assumption of
laminar flow.
Consider the liquid level system shown in Figure 1. At steady state, the inflow rate and...
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...
Considering the following liquid-level qo where the liquid is laminar flow and .0-steady-state fl...
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...
. 1. Obtain the transfer function for the fluid level system in Figure 1(q. is the...
.
1. Obtain the transfer function for the fluid level system in Figure 1(q. is the output and qil is the input). Assume the ratio between q il and qiz is constant ©1 +0: 1 D r Oz +90 Figure 1: Liquid level system I + his 112 + h2 *** -- oder bottle bote ---
5. The three tank liquid system is at a steady-state shown. The flow rates into the...
5. The three tank liquid system is at a steady-state shown. The flow rates into the tank are suddenly changed to Q1 20.3 m/s, Q 15.5 m/s and Q m3/s, 2 m3/s (a) Determine the resistances in the pipes at steady-state. (b) Derive a mathematical linearized mathematical model for the system using the perturbations in liquid level as the outputs and the perturbations in flow rates as the inputs. 3 3 20 15 100 m 80 m 75 m 2...
(30pts) Consider the liquid level system shown in the figure. Assume the outflow rate Q (m3/s) th...
(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...
Consider the following conical drainage collector of side angle α: You can assume that the liquid level is perfectly flat. All of the liquid in the tank is considered incompressible, and must satisfy...
Consider the following conical drainage collector of side angle α: You can assume that the liquid level is perfectly flat. All of the liquid in the tank is considered incompressible, and must satisfy Bernoulli's equation: PV2pgh -constant 2 You can assume that the height at the bottom is the baseline (h2 -0). the liquid line velocity is minimal (Vi 0). and that the pressure is equalized (Pi P2). The height of the liquid line being tracked is equal to the...
2. For the following liquid level system, qmi(t) is the mass flow rate input to the...
2. For the following liquid level system, qmi(t) is the mass flow rate input to the system. There is a valve in the pipe, and the flow through the pipe is turbulent, therefore the restrictions are all modeled using the square root relation, 4.-J . a. Develop the nonlinear model for the behavior of the deviation liquid level, h. b. Determine the linearized resistance at Amir = 3 m/s. c. Re-derive the model for the deviation height using your answer...
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...
2. Consider the liquid level system shown below - 0 The outflow rate through the outlet of the tank is given varies as a function of the height of the fluid in the tank, QVe Bpg kg.s-1. The area of the base of the tank is A 1 m2. The answers to the below questions can be left in terms of p and g. (a) [5 points] - Derive the differential equation for the height of the fluid in the...
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...
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...
.
1. Obtain the transfer function for the fluid level system in Figure 1(q. is the output and qil is the input). Assume the ratio between q il and qiz is constant ©1 +0: 1 D r Oz +90 Figure 1: Liquid level system I + his 112 + h2 *** -- oder bottle bote ---
5. The three tank liquid system is at a steady-state shown. The flow rates into the tank are suddenly changed to Q1 20.3 m/s, Q 15.5 m/s and Q m3/s, 2 m3/s (a) Determine the resistances in the pipes at steady-state. (b) Derive a mathematical linearized mathematical model for the system using the perturbations in liquid level as the outputs and the perturbations in flow rates as the inputs. 3 3 20 15 100 m 80 m 75 m 2...
(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...
Consider the following conical drainage collector of side angle α: You can assume that the liquid level is perfectly flat. All of the liquid in the tank is considered incompressible, and must satisfy Bernoulli's equation: PV2pgh -constant 2 You can assume that the height at the bottom is the baseline (h2 -0). the liquid line velocity is minimal (Vi 0). and that the pressure is equalized (Pi P2). The height of the liquid line being tracked is equal to the...
2. For the following liquid level system, qmi(t) is the mass flow rate input to the system. There is a valve in the pipe, and the flow through the pipe is turbulent, therefore the restrictions are all modeled using the square root relation, 4.-J . a. Develop the nonlinear model for the behavior of the deviation liquid level, h. b. Determine the linearized resistance at Amir = 3 m/s. c. Re-derive the model for the deviation height using your answer...
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