BME062

Computational Fluid Dynamics

L-T-P3-0-0 Credits3 Session2024-25 TypeTheory
Appears in 3 semesters · 3 branches

B.Tech Mechanical Engineering · Sem 6 (Departmental Elective-III) · B.Tech Automobile Engineering · Sem 6 (Departmental Elective-III) · B.Tech Mechanical & Industrial Engineering · Sem 6 (Departmental Elective-III)

Syllabus

5 units · 43 lecture hours
Unit1

Unit 1

12 hrs
  • Introduction and Basic Concepts:
  • Introduction of CFD, Types of fluids and basic equations of flow, Mass Conservation, Newton’s second law of motion, Fluid flow governing equations, Navier– stokes equation, Boundary layer equations, Expanded form of Navier-stokes equations, Conservation of energy principle, Special form of energy equation, Classification of second order partial differential equations, Initial and Boundary conditions, Governing equations in generalized coordinates, Review of essentials of fluid dynamics.
Unit2

Unit 2

10 hrs

Differential Equations and Discretisation Elementary Finite Difference Equations, Basic aspects of finite difference equations, errors and stability analysis, discretization, Taylor’s series expansion, difference equation: explicit and implicit approach, Application to heat conduction and convection, problems on one dimension steady state and unsteady state conduction.

Unit3

Unit 3

6 hrs
  • Grid Transformation
  • Introduction, general transformation equations, matrices and Jacobean, transformed version of governing equation particularly suited for CFD, compressed grids, elliptic grid generation, adaptive grids
Unit4

Unit 4

8 hrs

Introduction to finite element philosophy Basics of finite element method, stiffness matrix, Isoperimetric elements, Formulation of finite elements for flow and heat transfer problems.

Unit5

Unit 5

7 hrs

Introduction to finite volume philosophy: Integral approach, discretization and higher order schemes, Application to complex geometry.

Course Outcomes (COs)5 outcomes

After completion of the course student will be able to:

  1. CO1Understand the classification of PDEs, governing equationsK2
  2. CO2Understand the basic principles of computational methodsK2
  3. CO3Understand Solution algorithms and various discretization schemes.K2
  4. CO4Solve engineering problems using CFD softwareK3
  5. CO5Understand the classification of PDEs, governing equationsK2

Reference Books

  1. -
  2. Computational Fluid Dynamics the Basics with Applications, John D Anderson, Jr., McGraw Hill Book Company.
  3. An Introduction to Computational Fluid Dynamics: The Finite Volume Method, H K Versteeg, W Malalasekera, Pearson Education Ltd.
  4. Introduction to Computational Fluid Dynamics, Anil W Date, Cambridge University Press.
  5. Numerical Heat Transfer and Fluid Flow, Suhas V Patankar, Hemisphere Publishing Co.
  6. Computational Fluid Dynamics: A Practical Approach, Jiyuan Tu, Guan Heng Yeoh, Chaoqun Liu, Elsevier Principles of Computational Fluid dynamics, Pieter Wesseling, Springer International Edition
  7. Fundamentals of Computational Fluid Dynamics, Tapan K. Sengupta, Universities Press. Introduction to Fluid Mechanics, Edward J Shaughnessy, Jr., Ira M Katz, Oxford University

Official AKTU syllabus

This subject is on page 41, 42 of the original AKTU PDF.

Official AKTU syllabus PDF ↗