MTech Numerical Methods In Combustion syllabus for 2 Sem 2020 scheme 20MAP244

Conservation equations for reacting flows:

General forms; choice of primitive variables, conservation of momentum, conservation of mass and species, diffusion velocities, conservation of energy. Usual simplified forms; constant pressure flames, equal heat capacities for all species, constant heat capacity for the mixture only.

Laminar premixed flames:

Introduction, conservation equation and numerical solution, steady one-dimensional laminar premixed flames, theoretical solutions for laminar premixed flames, premixed flame thicknesses, flame stretch, flame speeds, instabilities of laminar flame fronts.

Laminar Diffusion Flames:

Diffusion flame configurations, theoretical tools for diffusion flames, flame structure for irreversible infinity fast chemistry, full solutions for irreversible fast chemistry flames, extensions of theory to other flame structures, real laminar diffusion flames.

Introduction to turbulent:

Interaction between flames and turbulence, elementary descriptions of turbulence, influence of turbulence on combustion, computational approaches for turbulent combustion, RANS simulations for turbulent combustion, direct numerical simulations, large eddy simulations, chemistry for turbulent combustion.

Turbulent Premixed Flames:

Phenomenological description premixed turbulent combustion regimes, RANS of turbulent premixed flames, LES of turbulent premixed flames, DNS of turbulent premixed flames.

Turbulent non-premixed flames:

Introduction, phenomenological description, turbulent non-premixed combustion regimes, RANS of turbulent non-premixed flames. LES of turbulent non-premixed flames, DNS of turbulent non-premixed flames.

Flame/wall interactions:

Introduction, flame-wall interaction in laminar flows, Flame/wall interaction in turbulent flows

Flame/acoustics interactions:

Introduction, acoustics for non-reacting flows, acoustics for reacting flows, combustion instabilities, large eddy simulations of combustion instabilities.

Boundary conditions:

Introduction, classification of compressible Navier-Stokes equations formulations, description of characteristic boundary condition, examples of implementation, applications to steady non-reacting flows, applications to steady reacting flows, unsteady flows and numerical waves control, applications to low Reynolds number flows.

Examples of LES applications:

Introduction, small scale gas turbine burner, large-scale gas turbine burner, self-excited laboratory burner.

Course outcomes:

At the end of the course the student will be able to:

1. Solve laminar premixed and diffusiom flame problems in combustion

2. Distinguish different types of turbulent flames numerically

3. Appreciate the reactive and non-reactive combustion through numerial methods

Question paper pattern:

The SEE question paper will be set for 100 marks and the marks scored will be proportionately reduced to 60.

• The question paper will have ten full questions carrying equal marks.
• Each full question is for 20 marks.
• There will be two full questions (with a maximum of four sub questions) from each module.
• Each full question will have sub question covering all the topics under a module.
• The students will have to answer five full questions, selecting one full question from each module.

Textbook/ Textbooks

1 Theoretical and Numerical Combustion Thierry Poinsot, Denis Veynante Edwards 2005

2 Numerical Modeling In Combustion TJ Chung CRC Press 1993

Reference Books

1 Modeling and Simulation of Reactive Flows A.L. De Bortoli, Greice Andreis, Felipe Pereira Elsevier 2015

2 Numerical Prediction of Flow, Heat Transfer, Turbulence and Combustion D. Brian Spalding Elsevier 1983