JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisites

Mathematical Methods

Course Objectives

The Lab emphasizes on writing MATLAB code, execution and doing

what if analysis of the variations in the parameters for the given problems.

Course Outcomes

The Students will be able to

• apply mathematical methods to Petroleum Engineering Problems.
• write code in MATLAB. List of problems:
• 1. Determination of Molar volume and Compressibility from Redlich-Kwong Equation
• 2. Calculation of flow rate in a pipeline
• 3. Correlation of the physical properties
• 4. Compressibility factor variation from vanderwaals equation
• 5. Isothermal compression of gas using Redlich-Kwong Equation of state
• 6. Thermodynamic properties of steam from Redlich-Kwong Equation
• 7. Solution of Stiff Ordinary Differential Equations
• 8. Iterative Solution of ODE boundary value problem
• 9. Shooting method for solving two-point boundary value problems
• 10. Expediting the solution of systems of nonlinear algebraic equations
• 11. Solving differential algebraic equations –DAEs
• 12. Method of lines for Partial Differential Equations
• 13. Estimating model parameters involving ODEs using fermentation data

TEXTBOOK:

• 1. Problem solving in Chemical and Biochemical Engineering with POLYMATH, Excel and MATLAB by Michael B. Cutlip and Mordechai Shacham, Prentice Hall, 2008.