Home → Teaching / CHE - 501: Mathematical Methods in Chemical Engineering
Announcements
| Date | Information |
|---|---|
| Aug 10, 2019 | Reading material for 1st unit (Vectors and Tensors) of the course has been uploaded under "course contents" tab. |
| Aug 18, 2019 | Reading material for 2nd unit (Matrix Algebra) of the course has been uploaded under "course contents" tab. |
| Sep 06, 2019 | Mid term examination (MTE) on Sep 13, 2019 in Room 201 at 2:30 to 4 pm. |
| Sep 30, 2019 | Corrected answer scripts of MTE shall be shown on Oct 03, 2019 in Room 102 at 11 am. |
| Oct 17, 2019 | Quiz on Oct 21, 2019 in Room 102 at 5 pm. |
| Oct 20, 2019 | Reading material for 3rd/4th units (partial differential equations) of the course has been uploaded under "course contents" tab. |
| Oct 23, 2019 | Reading material for 5th units (Numerical Solutions...) of the course has been uploaded under "course contents" tab. |
| Nov 05, 2019 | Quiz on Nov 11, 2019 in Room 102 at 11 am. |
| Nov 05, 2019 | End Term Examination (ETE) on Nov 14, 2019 in Room 201 from 9 am to 12 noon. |
| Nov 14, 2019 | Corrected answer scripts of MTE shall be shown on Nov 25, 2019 in Room 102 at 11 am. |
Course Information
| Code | CHE - 501 |
| Title | Mathematical Methods in Chemical Engineering (MMChE) |
| Credits | 04 |
| Semester | Autumn Semester, 2019-20 |
| Level | PG Level |
| Type | PG (M.Tech./Ph.D.) Core Course | UG (4th year) Elective Course |
| Pre-requisites | Knowledge of Core Chemical Engineering Courses (Fluid Mechanics, Heat and Mass Transfer, Reaction Engineering and Transport Phenomena, etc.) and Engineering Mathematics |
Coordinator |
Dr. Ram Prakash Bharti [e-mail | Web URL] Associate Professor Department of Chemical Engineering Indian Institute of Technology Roorrkee Roorkee 247667, INDIA |
Teaching Assistants (TAs) |
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Course Contents
| Unit No. | Topics | Reading Material |
|---|---|---|
| 1. | Vectors and Tensors: Vectors, vector spaces, metric, norm and inner product, linear dependence, Gram-Schmidt ortho-normalization, Introduction to tensors, tensor algebra and calculus. |
|
| 2. | Matrix Algebra: Determinants and properties, Adjoint, self-adjoint operators, Eigenvalue and eigenvectors, solvability conditions, solution of set of algebraic equations, solution of set of ODEs, solution of set of non-homogeneous first order ODEs, non-self adjoint systems, stability analysis, bifurcation theory. |
|
| 3. 4. |
Partial Differential Equations (PDEs):
Classification, boundary conditions, linear superposition.
Second order linear PDEs: Classification, canonical forms. Solution methods for hyperbolic, elliptic and parabolic equations: Eigen function expansion, separation of variables, transform methods. Applications from heat and mass transfer, reaction engineering. |
|
| 5. | Numerical solution of linear and nonlinear algebraic equations: Gauss elimination methods, LU decomposition, Newton-Raphson method; Finite difference method for solving ODEs and PDEs. Spectral methods for solving differential equations, Chemical engineering applications from separation processes, reaction engineering, fluid mechanics etc. |
Self study
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Schedule
| Semester | Contact Hours | Lectures (L) | Tutorials (T) | Practicals (P) |
|---|---|---|---|---|
| Autumn | 4 (L - T - P : 3 -1 -0) |
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- 0 - |
Suggested Books
| Bayin S.S. (2018) Mathematical Methods in Science and Engineering, 2nd edition. Wiley |
| Bird R.B., Stewart L.E. and Lightfoot E.N. (2002) Transport Phenomena, 2nd edition. John Wiley & Sons, Inc. |
| Blennow M. (2018) Mathematical Methods for Physics and Engineering. CRC Press |
| Dutta B.K. (2017) Mathematical Methods in Chemical and Biological Engineering. CRC Press |
| Felder G.N. and Felder K.N. (2016) Mathematical Methods in Engineering and Physics. Wiley |
| Finlayson B.A., Biegler L.T. and Grossmann I.E. (2007) Mathematics in Chemical Engineering. Chapter 1 in "Ullmann's Modeling and Simulation", Wiley-VCH Verlag. [Download] |
| Loney N.W. (2015) Applied Mathematical Methods for Chemical Engineers, 3rd edition. CRC Press [Download] |
| Prochaska C. and Theodore L. (2018) Introduction to Mathematical Method for Environmental Engineers and Scientists. John Wiley & Sons, Inc. |
| Pushpavanam S. (2004) Mathematical Methods in Chemical Engineering. Prentice Hall |
| Rice R.G. and Do D.G. (1995) Applied Mathematics and Modelling for Chemical Engineers. John Wiley & Sons, Inc. |
| Verma A. and Morbidelli M. (1997) Mathematical Methods in Chemical Engineering. Oxford Univ. Press |
| Zill D.G. (2018) Advanced Engineering Mathematics, 6th edition. Jones & Bartlett Learning, LLC, |
Assessment
| Component | Weightage | Remarks |
|---|---|---|
| CWS (Class Work Sessionals) |
20% | Tutorial's / Assignment's / Quiz's / Punctuality / Discipline / etc. |
| MTE (Mid Term Examination) |
30% | Written examination of 1½ hours |
| ETE (End Term Examination) |
50% | Written examination of 3 hours |
Assignments/Tutorials
- Hand-written solutions on A4 pages must be submitted by the due date.
- Late submission shall not be accepted.
- Solutions must be equipped with all the steps and calculations.
| Assignment | Upload Date | Due Date |
|---|---|---|
| Sheet - 01 (Download) | Jan 21, 2019 | Jan 22, 2019 @ 10 am (Room # 102) |