Process Modelling, Simulation and Optimization — Winter 2022

Describe any one chemical process simulator and its salient features.

Describe briefly the fundamental laws used in mathematical models of chemical engineering systems.

Atank contains 10 lit. of fresh water at time (t = 0), brine having a concentration of 10 kg/m3 of salt is feed into the tank at a rate of 0.5 lit/min. The mixture is kept uniform by mixing. The output from the tank is 0.4 lit/min. Evaluate the volume of water in the tank when the concentration inside the tank is 25% of that of inlet.

Differentiate between deterministic and stochastic models.

Develop a batch reactor model.

Use the simplex method to find the maximum value of Z = 2x – x +2x (Objective function)123 subject to the constraints

Afirm produces two goods, x and y. Due to a government quota, the firm must produce subject to the constraint x + y = 42. The firm’s cost functions is c(x, y) = 8x2 − xy + 12y2 Maximize the function using lagrangian method. .

Classify the methods to solve unconstrained multivariable problems.

Discuss the optimization of pipe diameter.

Give a detail classification of models.

Differentiate sequential modular approach and simultaneous modular approach.

Explain the application of optimization in fitting vapor-liquid equilibrium data.

Explain the steps for finding the optimum L/Dratio for a pressurized cylindrical storage vessel. List all the variables and the important assumptions.

Define: feasible region, global minimum, convex region.

Explain Simplex algorithm for linear programming.

Discuss the optimizing recovery of waster heat with suitable figure and equations.

Explain the penalty methods for solving nonlinear programming with constraints.

Write short note on decomposition of networks.

Explain mathematical modeling of ideal binary distillation column.

State objective functions in terms of the adjustable variable for chemical reactor.

Explain random search and grid search method for unconstrained multivariable optimization.

What are the applications of optimization in chemical process and plants? Explain any one in detail with example.

Compare linear and non linear model.

Write a note on the transport equations used for modeling.

What is a linear programming problem? State the linear programming in standard form and write down its application in chemical industries.