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.
Homework Answers
liquid-level
Liquid Level System Consider the liquid level system shown below. At steady state, the inflow rate is Q and the outflow rate is also Q Assume that at t = 0 the inflow rate is changed from Q to Q + qr where q, is a small quantity. The disturbance input is qd, which is also a small quantity. Draw a block diagram of the system and simplify it to obtain H 2(s) as a function of Q(s) and Q...
5. (10 points) Consider the liquid-level system shown. At steady state, the inflow rate is Q:...
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....
INTRODUCTION TO MECHATRONICS. (Fluid System) 2) In the liquid level system shown in Figure, the resistances...
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.
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...
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...
(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...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
. 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 ---
Find G(s)= H2(s)/Q(s) 1.- - For the system shown in the figure, ?+q> Tanque 2 Tanque...
Find G(s)= H2(s)/Q(s)
1.- - For the system shown in the figure, ?+q> Tanque 2 Tanque HEMU H + hz H+hi * 0+2 Q1 +91 where Q(s) is the input liquid flow, H(s) is the height of tank 1, H2(S) is the height of tank 2. Qe(s) is the output liquid flow, R and R2 are the valves resistance and C and C2 are the capacitance of tank 1 and tank 2. Obtain the Block Diagram and the Transfer Function...
6. Consider the liquid-level system shown. Assume that the outflow rate Q(m/s) through the outflow valve...
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
Liquid Level System Consider the liquid level system shown below. At steady state, the inflow rate is Q and the outflow rate is also Q Assume that at t = 0 the inflow rate is changed from Q to Q + qr where q, is a small quantity. The disturbance input is qd, which is also a small quantity. Draw a block diagram of the system and simplify it to obtain H 2(s) as a function of Q(s) and Q...
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....
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.
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...
(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...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
.
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 ---
Find G(s)= H2(s)/Q(s)
1.- - For the system shown in the figure, ?+q> Tanque 2 Tanque HEMU H + hz H+hi * 0+2 Q1 +91 where Q(s) is the input liquid flow, H(s) is the height of tank 1, H2(S) is the height of tank 2. Qe(s) is the output liquid flow, R and R2 are the valves resistance and C and C2 are the capacitance of tank 1 and tank 2. Obtain the Block Diagram and the Transfer Function...
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
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> False answer, it's taken from chegg
John Reinbeck Tue, Apr 5, 2022 3:35 AM