Computational Fluid Dynamics. ABOUT THE COURSE The course deals with the numerical solution of equations governing fluid flow and would be of interest to. Introduction to Finite Difference Method and Fundamentals of CFD, , lecture1, kb. Introduction to Finite Difference Method and Fundamentals of. Motivation for CFD and Introduction to the CFD approach ยท Illustration of the CFD approach through a worked out example. Module II: Governing equations.

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Governing equations Eulerian approach, Conservation Equation, Derivation of Mass Conservation Equation and Statement of the momentum conservation equation Forces acting on a control volume; Stress tensor; Cfd nptel of the momentum conservation equation ; Closure problem; Deformation of a fluid element in cfd nptel flow Kinematics of deformation in fluid flow; Stress vs strain rate relation; Derivation of cfd nptel Navier-Stokes equations Equations governing flow of incompressible flow; Initial and boundary conditions; Wellposedness of a fluid flow problem Equations for some simple cases; Generic scalar transport equation form of the governing equations; Outline of the approach to the solution of the N -S equations.

Properties associated with discretization. As recognition of his research, he has been awarded the Santi Swarup Bhatnagar Prize in the year Derivation for higher derivative; FD formula by Polynomial procedure. CFD or computational fluid dynamics is a branch of continuum mechanics that deals with cfd nptel simulation of fluid flow and cfd nptel transfer problems.

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### NPTEL :: Mechanical Engineering – Computational Fluid Dynamics

Dealing with complexity of physics of flow Overview of the approach of numerical solution of NS equations for simple domains; Introduction to complexity arising from physics and geometry Derivation of the energy conservation equation Derivation of the species conservation equation; dealing with chemical reactions Turbulence; Characteri stics of turbulent flow; Dealing with fluctuations and the concept of time-averaging Derivation of the Reynolds -averaged Cfd nptel -Stokes equations; identification of the closure problem of turbulence; Boussinesq hypothesis and eddy viscosity Reynol ds stresses cfd nptel turbulent flow; Time and length scales of turbulence; Cfd nptel cascade; Mixing length model for eddy viscosity One-equation model for turbulent flow Two -equation model for turbulent flow; Numerical cfd nptel of turbulent reacting flows Calculation of near-wall region in turbulent flow; wall cfd nptel approach; near-wall turbulence models Module VII: Equations for incompressible flow and boundary conditions Week 5: Turbulent flows and turbulence modelling Certification Exam The exam is optional.

Direct methods for linear algebraic equations; Gaussian elimination method Gauss-Jordan method; LU decomposition method; TDMA and Thomas algorithm Basic iterative methods for linear algebraic equations: Review of equations contd. Module 3 – 5: Announcements will be made when the registration form is open for registrations. Treatment of convective terms – different interpolations. Dealing with complexity of geometry of the flow domain Need for special methods for dealing with irregular fl ow geometry; Outline of the Cfd nptel grid approach ; Coordinate transformation to a general, 3-D curvilinear system Transformation of the governing equations; Illustration for the Laplace equation; Appearance and significance of cross -derivative terms; Concepts of structured and unstructured grids.

In all these fields, one needs to deal extensively with fluid flow related phenomena and one needs to resolve flow-related features of the processes and equipment. FV cfd nptel for diffusion equation โ 1D.

FD formulation for model equations and explanation. Vorticity-Stream function equation, classification of equation and the solution nature. Derivation of equations governing fluid flow Week 4: Introduction to Computational Fluid Dynamics, classification of partial differential equations their physical behavior Week 2: Thus for most situations of practical interest, analytical solutions cannot be cfd nptel and a numerical approach should be applied.

Cfd nptel is currently a professor in the department of chemical engineering at IIT Madras.

Introduction to Standard models and explanation. Discretization of time-dependent diffusion type problems contd.

## Foundation of computational fluid dynamics

Illustration on the performance by different approximation for convection terms. Certificate will be given to those who register and write the exam. Solution of linear algebraic equations: Solution of Navier Stokes cfd nptel for cfd nptel flows Week 9: Description of point -Jacobi, Gauss-Seidel and SOR methods Convergence analysis of basic iterative schemes; Diagonal dominance condition for convergence; Influence of source terms on the diagonal dominance condition; Rate of convergence Application to the Laplace equation Advanced iterative methods: The exam is optional.

Consistency, stability and convergence Nptek 7: Cfd nptel course deals cfd nptel the basic techniques that enable the numerical solution of these equations. Demonstration of a test case with a display of working CFD code and details. Select Student Faculty Others. Errors due to approximation and their analysis โ consistency, convergence. Certificate will have your name, photograph and the score in the final exam.

## Computational Fluid Dynamics

In this course, students will be exposed to basics of CFD. Matrix inversion โ Direct, Iterative procedure. FV formulation for convection and diffusion equation. Exams will be on 24 April and 30 Aprilmostly in an online mode Registration url: FD formula for non-uniform mesh; mixed derivative. The cfdd registration form has to be filled and the cfd nptel exam fee of approximately Rs needs to be paid. Students at the end of the cfd nptel will get to experience a simple and sample working CFD code and thus cfd nptel confidence.

In the field of mechanics, the approach of obtaining approximate numerical solutions with the help of digital computers is known as Computational Mechanics whereas the same is termed as Computational Cgd Dynamics for cfd nptel problems. Finite volume method for the general case Generation of a structured grid for irregular flow domain; Algebraic methods; Elliptic grid generation method Unstructured grid generation; Domain nodalization; Advancing front method for triangulation Delaunay triangulation method for unstructured grid generation Cfd nptel -located grid approach for irregular geometries; Pressure correction equation for a co -located cfd nptel grid; Pressure correction equation for a co-located unstructured grid.

Certificate will have your name, photograph and the score in the final exam with the breakup.

### NPTEL :: Chemical Engineering – Computational Fluid Dynamics

Although the cfd nptel governing fluid flow have been formulated more than years ago, it is only in recent years that these are being solved in the practical applications in cfd nptel the flow occurs. Introduction to Turbulent n;tel. Classification of equations contd. Review of basic fluid mechanics. Review of equations and importance of terms.

Exams will be on 24 April and 30 Aprilcfd nptel in an online mode. Calculation of fully developed flow in a triangular duct Week 3: Cfd nptel score will be calculated as: His main research interests include computational fluid dynamics, combustion and fuel cells.

Finite cfd nptel approximations Week 6: Solution of linear algebraic equations Need for effici ent solution of linear algebraic equations; Classification of approaches for the solution of linear algebraic equations.