GUJARAT TECHNOLOGICAL UNIVERSITY
BE SEMESTER-VIII(OLD) EXAMINATION — WINTER 2017
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Subject Code: 180506
Subject Name: Chemical System Modeling
Time: 02.30 PM TO 05.00 PM
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Derive concentration profile model for a fixed bed catalytic reactor. With usual notation enumerate all assumption clearly. Note: Develop concentration profile equation for non-isothermal System. (07)
(b) Derive temperature profile model for a fixed bed catalytic reactor. With usual notation enumerate all assumption clearly. Note: Develop temperature profile for adiabatic operation. (07)
Q.2 (a) Derive the Continuity equation. (07)
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(b) Discuss about Model Development Procedure & Deterministic Versus Stochastic Process. (07)
OR
Q.3 (a) What are the various model formulation-principles? (07)
(b) What is modeling? Classify it based on different category and group of models. (07)
Q.3 (a) Calculate the fraction of solute that could be extracted in a single stage solvent extraction using numerical values of S=10R, m=1/8 and c=0.15kg/m3. Derive the relation used. (07)
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OR
(b) List Steps for formulation of a mathematical model. List types of Boundary conditions. (07)
Q.4 (a) For a continuous solvent extraction by N Stages at steady state, derive Kremser Brown equation. (07)
(b) Derive model for Counter current Cooling of Tanks. (07)
Q.4 (a) Develop a model for temperature profile along a tabular gas pre-heater when gas of temperature of Ti °C is heated through a pipe held at temperature Tw °C. Assume flat velocity profile and heat transfer coefficient along the flux is given by h=cVx When x is distance from tube inlet and c is a constant. Also solve model assuming axial condition to be negligible. (07)
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OR
Q.4 (a) Derive model for Temperature Distribution in a Transverse Cooling fin of Triangular Cross-Section. (07)
Q.4 (b) 1000 kg/hr of fluid having density 850 kg/m3 and specific heat Cp=0.9 k-cal/kg °C is being cooled by two identical tanks through counter current cooling system. If the pump of cooling water trips at time 0=0. Find exit fluid temperature from tank No. 2 after 100 min. using following data: Tank volume =700 liters each. Exit temperature of fluid tank No.1=115 °C Exit temperature of fluid tank No.2=70 °C Inlet temperature of hot fluid =205 °C (07)
Q.5 (a) Pipes are joined by pair of flanges of thickness ‘t’ neglecting heat loss through edges, formulate model for temperature profile over flange surface and solve the model. (07)
(b) Develop a model of Laminar flow in a narrow slit. (07)
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OR
Q.5 (a) Discuss about Physical modeling and Mathematical Modeling. Discuss merits and demerits of both. (07)
(b) Define: independent variable, dependent variable, parameters. (07)
Date: 15/11/2017
Total Marks: 70
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