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2003 Course Process Modeling & Simulation

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Total No. of Questions : 12] P1211 [Total No. of Pages : 3 [3664]-285 B.E. (Chemical) PROCESS MODELING AND SIMULATION (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answer any three questions from each section. 2) Answers to the two sections should be written in separate books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Your answers will be valued as a whole. 6) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 7) Assume suitable data, if necessary. SECTION - I Q1) a) Explain with suitable example - lumped parameter system and distributed parameter system. [8] b) Describe the classification of model in detail. [8] OR Q2) a) Explain various steps involved in model building. [8] b) Provide a classification of the major categories of equations in a mechanistic process model. What are the subclasses in each major category. Outline how each of the classes of equations is interrelated.[8] Q3) a) Write the energy equation for the CSTR in which consecutive first order reactions occur with exothermic heats of reaction 1 and 2 . The given reaction is . [8] b) Fluid is flowing through a constant diameter cylindrical pipe. The flow is turbulent and therefore we can assume plug-flow conditions. There is no radial gradients in velocity or any other properties. Develop the mathematical model for the given system. [8] OR Q4) An isothermal, irreversible reaction A K B takes place in the liquid phase in a constant volume reactor. The mixing is not perfect. Observations of flow patterns indicates that a two tank system with back mixing, as shown P.T.O. in the sketch below. Assuming F and FR are constant write the equations describing the system. [16] Q5) Derive and discuss model for batch reactor with heating phase and cooling phase. Draw a neat diagram of batch reactor and draw batch profiles. [18] OR Q6) Consider the vaporizer as shown in fig. LPG is fed into a pressurized tank to hold the liquid level in the tank. We will assume that LPG is a pure component propane. The liquid in the tank is assumed perfectly mixed. Heat is added at a rate Q to hold the desired pressure in the tank by vaporizing the liquid at a rate WV. Heat losses and mass of the tank walls are assumed negligible. Gas drawn off the top of the tank at a volumetric flow rate FV. Consider liquid and vapour dynamics. [18] Develop mathematical model for the given system. SECTION - II Q7) Develop the state model for gas absorption column with N number of trays. Write all assumptions made. [18] OR Q8) Develop the state model for an ideal binary mixture of component A and B to be separated into two product streams using conventional distillation.[18] Q9) An ice cube is dropped into a glass of water at room temperature and then stirred. Develop a mathematical model describing the time varying behaviour of the system. This model should predict the behaviour for both [3664]-285 2 short term and long term dynamics. Typical values of problem are 28oC ambient temperature, glass liquid volume of 250ml at initial temperature of 24oC and an ice of 25cm3. Typical aspect ratio of the ice cube is 1:1.25 : 2.5 a) Prepare a model definition. b) State all modeling assumptions and develop the mathematical model. c) Analyse the degrees of freedom. [16] OR Q10) Develop the state model for the batch mixing of two solutions. Initially the tank is empty. The volume of tank is V (m3). The flow rates are volumetric and the concentrations are in moles per volume. a) How long does it take to fill up the tank. b) Show how would you find the composition and temperature of the mixture in the tank during the time that the tank is being filled up. Assume that the heat of solution depends on the composition. [16] Q11) a) Consider the case of turbulent flow through a valve. Simplication of the mechanical energy balance in the mathematical model leads to the following relationship between flowrate and pressure drop. W = C P1 P2 where W = mass flow per unit time C = constant P1 = upstream pressure P2 = downstream pressure show that P1 is linear with P2 [8] b) State and explain law of mass action. [8] OR Q12) a) Give different uses of mathematical model and give its limitations. [8] b) What is process simulation? Explain in detail. xxxx [3664]-285 3 [8]

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