Gasdynamics of combustion

hammercoupleMechanics

Feb 22, 2014 (3 years and 5 months ago)

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1

Moscow Institute of Physics and Technology

(State University)









P

R O G R A M

of course
«
Gasdynamics of combustion
»



Speciality: 010
9
00 Applied mathematics and physics

Faculty
: Aeromec
hanics and Flight Engineering (F
AFE)

Department:

Computer modelin
g

Year: 5

Term: 9, 10

Lectures, hours:
66

Practical training (seminars), hours:

Total, hours:
66

Lecturer:

Ph.D.,

associate p
rofessor
Vlasenko V.


The program was approved in cathedr
a Computer modeling

session.















2

GASDYNAMICS OF COMBUSTION


Physi
cs

of

gas

combustion



one

of

the

most

complex

parts of aerodynamics, with many
practical applications. This

course

is

an introduction to the problems of the gasdynamics of
combustion. The

course

occupies

one

academic

year

(
one

lecture



2

hours


per week
).

In

the

first

half

of

the

course

the

main

attention is paid to consideration of simple tasks with analytical
solutions, allowing to understand the most essential physical processes in gas flows with
combustion. This

set

of

tasks

is

culminated

with

the

ta
sk about description of turbulent diffusive
combustion in unpremixed flow. Problems of numerical simulation of reactive flows are also
considered briefly. Second

part

of

the

course

is

devoted

to

gasdynamic

theory

of

combustion

waves

in premixed flow of com
bustible gas
(
detonation

and

deflagration
)
.

As an
example of practical application, the problem of pulsing detonation engine creation is
considered.

Many

questions
,
which

are

considered

in

this

course
,
may

be

useful

not

only

for

students
,
who

want

to work
in the field of combustion, but
also
for all persons, who are interested in
physical and mathematical problems of the whole gasdynamics.


COURSE SCHEDULE


Part I

(
1
st

term)


Lecture 1.

Main terms and equations of chemical kinetics.

Lecture 2.

Heat effect

of chemical reaction.

Lecture 3.

Kinetic mechanism of hydrogen
-
air combustion.

Lecture 4.

Influence of stoichiometry on local combustion.

Lecture 5.

Theory of homogeneous reactor.

Lecture 6.

Flame of burners


combustion wave propagating due to heat condu
ctivity
.

I. Equations.

Lecture 7.

Flame of burners


combustion wave propagating due to heat conductivity.

II. Theory of Zeldovich


Frank
-
Kamenetsky


Semenov.

Lecture 8.

Laminar diffusive combustion

in unpremixed flow.

I.
E
quations.

Lecture 9.

Laminar di
ffusive combustion

in unpremixed flow.

II.
M
ethod of passive scalar.

Structure of laminar diffusive flame.

Lecture 10.

Turbulent diffusive combustion

in unpremixed flow.

I.

Qualitative representation of the structure of turbulent diffusive flame.

Time
-
ave
raged equations. Method of moments.

Lecture 11.

Turbulent diffusive combustion

in unpremixed flow.

II. Model of laminar flamelets.

Lecture 12.

Turbulent diffusive combustion

in unpremixed flow.

III. Method of probability density function.

Lecture 1
3
.

Tu
rbulent diffusive combustion

in unpremixed flow.

I
V
.
T
aking into account the backward reactions. Approximation of

quasi
-
equilibrium combustion.

Lecture 14.

Thermodynamic analysis of chemical equilibrium.


3

Lecture 1
5
.

P
roblems of numerical simulation of fin
ite
-
rate flows.

I. Stiffness of
chemical kinetics equation system. Comparison of implicit and
implicit schemes.

Lecture 16.

Problems of numerical simulation of finite
-
rate flows.

II. Analysis of numerical problems in simulation of hydrogen
-
air combustion.


Part II

(2
nd

term)


Lecture 1.

T
heory of quasi
-
1D flows with heat release.

Lecture 2.

Thermal choking.

Lecture 3.

Approximate method for
quantitative
analysis of quasi
-
1D reactive flows in
variable
-
area ducts.

Lecture
4
.

Michelson’s theory of combustion

waves.

Lecture
5
.

Classification of combustion waves (detonations and deflagrations).

Lecture
6
.

Losses and the entropy growth in combustion waves.

Lecture
7
.

Quantitative relations for combustion waves.

Lecture
8
.

Characteristic analysis and
causation

of

combustion waves.

I. Method of characteristics. Causation of shock wave.

Lecture 9.

Characteristic analysis and
causation

of combustion waves.

II. Causation of various classes of combustion waves.

Lecture
10
.

Mechanisms of realization for various classes
of combustion waves.

Lecture
11
.

Self
-
similar flows with combustion waves.

I. 1D non
-
stationary flows with overpressed detonation.

Lecture 1
2
.

Self
-
similar flows with combustion waves.

I
I.

1D non
-
stationary flows with
under
pressed detonation

and weak defla
gration
.

Lecture 1
3
.

Self
-
similar flows with combustion waves.

III. 2D stationary flows with
oblique detonation wave.

Lecture 14.

Influence of finite
-
rate kinetics on a structure of an oblique detonation wave.

Lecture 15.

Instability of 1D
structure of
det
onation and non
-
stationary spatial structure of
detonation

wave
s.

Lecture 1
6
.

Pulsed detonation engines

(PDE)
.

I. Thermodynamic cycle of ideal PDE in comparison with
cycle of ideal ramjet.

Lecture 17.

Pulsed detonation engines (PDE).

II. Various schemes of

PDE and analysis of problems in realization of PDE.