Course Details

Subject {L-T-P / C} : CH3311 : Chemical Engineering Mathematics {3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Basudeb Munshi

Syllabus

Treatment of engineering data: Numerical integration (Simpson, Trapezoidal and Gauss methods), Interpolation (Newton, Lagrange, Stirling), Empirical equations and least squares Ordinary differential equations: Formulation of the physical problems for mass, energy, rate equations and flow systems. Solutions using analytical and numerical methods Partial differential equations: Formulation of chemical engineering problems, Coordinate transformation, Solutions of partial differential equations using separation variable method and Fourier series and limited to two dimensional cases Laplace transforms: Applications to Laplace transforms to simple chemical engineering problems.

Course Objectives

  1. The foremost objective of this course is to introduce several computational techniques that are important in the solution of a variety of Mathematical problems that cannot be solved analytically.
  2. The sample problems will, for the most part of the course be taken from Chemical Engineering, though occasionally we will consider problems also from other related engineering areas.
  3. The methods and skills taught in this course will be valuable for future Chemical Engineering courses.

Course Outcomes

1) Enables to use numerical methods to solve various chemical engineering problems.
2) Helps to apply partial differential equations to solve different problems.
3) Demonstrates the application of Laplace transform in solving problems related to chemical Engg.

Essential Reading

  1. V. G. Jenson and G. V. Jeffrey, Mathematical Methods in Chemical Engg., Academic Press , 2012
  2. Norman W. Loney, Applied Mathematical Methods for Chemical Engineers, CRC Press , 3rd Edition, 2015

Supplementary Reading

  1. S. Pushpavanam, Mathematical Methods in Chemical Engineering,, Prentice Halls , 2004
  2. Bender, Carl M., Orszag, Steven A., Advanced Mathematical Methods for Scientists and Engineers I Asymptotic Methods and Perturbation Theory, Springer , 1999