Question

3) An isothermal liquid storage tank has two inlet flow rates f.(t)and f(t) of the same process liquid. The exit line from the tank has a constant speed centrifugal pump that delivers the liquidat a rate of f=300L/min. The inlet flowratef, is subjected to large changes as it is supplied by someupstreamprocess unit. 1. What will be the steady state value of the manipulated variable? 2. Derive the dynamic model of this process. 3. What assumptions are implied by the model? 4. Prove that the process is controllable 5. Examine the linearity of the process model 400 L/min 3. Assumptions: Perfect mixing and constant density of liquid a Constant specific heat capacity of liquid 4. nar= 3-1 =2, f, is disturbance, f, is a manipulated variable 5. The model is non-linear 200 L/min 3. Assumptions: "Perfect mixing and constant density of liquid 4. nar= 3-1 =2, f, is disturbance, fa is a manipulated variable 5. The model is linear 100 L min 3. Assumptions: Perfect mixing and constant density of liquid Constant specific heat capacity of liquid 4. nar= 3-1 =2, fi is disturbance, f, is a manipulated variable 5. The model is linear

Please show full solution of the given multiple choices

Answer 1

Hope this will be helpful

degrees of freedom:

It says the number of variable need to fix to control the system.

Here degrees of freedom=2 , 2 variable we need to fix to control the system.

Page 1

87 fo = 3004/mon. density = f (kg/h) = constant. (*) Writing mass balance in a out = accumulation dt on (f, 4min)x f (kale) 4 f5) 408) - " f= constant fif & fa f- fo f = KVP (fi+fa) - fo - at steady state, d = 0 fi + fx - f3 = o steadystate balance. dynamie mode = fie f- for everyone (8) aynamic 7

Page 2

Assumption: i density is constant a) Perfect mixing tank, ie the concentration/ density is constant inside tank and outside output in Constant heat capacity. Ene nay balance - The system is esothermal so. There is no energy equation. no.of degrees of freedom - ( no. of variables - noof equation) = fiu for Fin (massbalance) 2 + voriables, we have to fix to control the system. w (*) The dependent variable 'V' is of degree l in differential equation 1. The model equation is lonear.

Option C is correct

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