Senior Lecturer (Associate Professor)
Qualifications: MSc, PhD (Marseilles).
University of Manchester, Alan Turing Building
Oxford Road , Manchester M13 9PL, UK
Office hour: Thursday 1pm
- Course MATH65132/45132: Stability Theory (Msc + 4th year, 2014-present)
- Course MATH10232: Calculus and Applications B (2011-present)
- Course MAT35072: Mathematical Modelling, Transport Phenomena and Reactive Flow (3rd year, 2012-14)
- Course MATH60682/MATHT45142: Combustion Theory (Msc + 4th year, 2005-11)
- Course MATH10131: Calculus and Vectors (2010-11)
- Mathematics 2R1/MATH29671 (2nd Year, Series, Laplace Transforms, functions of several variables, 2008-09)
- Course 423/MSC 542: Numerical Solution of Differential Equations (Msc + 4th year, 2002-07)
- Course U213: Hamiltonian dynamical systems (2nd year, 2004-06)
- Course 2Q2: Further Mathematics for civil
engineers (2nd year, 2000-04)
I lead the research activities in the field of combustion in the
school of Mathematics at the University of Manchester. This is a
fascinating multi-disciplinary area of applied mathematics.
Fields of competence/research: Combustion, fluid mechanics,
numerical and asymptotic methods, heat and mass transfer, stability theory.
- Major Research topics: Flame
propagation in mixing layers (e.g. triple flames). Ignition and extinction
fronts in premixed combustion. Turbulent combustion. Stability of flames. Droplet combustion at high pressure (rocket engines, diesel engines). Convective mixing, ignition and combustion of fuel
pockets. Ignition and development of premixed flames under gravity.
numerical and perturbation methods.
Selected Publications (Downloadable):
- Pearce, P. and Daou, J.
Taylor dispersion and thermal expansion effects on flame propagation in
a narrow channel. J. Fluid Mech. (2014)
Daou J. and Daou R. Flame Balls in Mixing Layers. Combustion and Flame (2014).
Pearce, P. and Daou, J. Rayleigh Bénard instability generated by a diffusion flame. J. Fluid Mech. (2013).
F. and Daou, J. Triple-flame propagation against a Poiseuille flow in a
channel with porous walls. Combustion Theory and Modelling (2013)
P. and Daou, J. The effect of gravity and thermal expansion on the
propagation of a triple flame in a horizontal channel. Combustion and
Flame 160 (2013).
J. Strained premixed flames: effect of heat-loss, preferential
diffusion, and the reversibility of the chemical reaction. Combustion
Theory and Modelling 15:437-454 (2011).
J. and Al-Malki, F. Triple-flame propagation in a parallel flow: an
analytical study. Combustion Theory and Modelling 14:177-202 (2010).
J. Asymptotic analysis of flame propagation in weakly-strained mixing
layers under a reversible chemical reaction. Combustion Theory and
Modelling, 13:189-213 (2009).
Daou, J., Al-Malki, F. and Ronney, P. Generalized Flames Balls. Combustion Theory and Modelling 13:269-294 (2009).
J. Premixed flames with a reversible reaction: propagation and
stability. Combustion Theory and Modelling, 12:349-365 (2008).
Daou, J. and Sparks, P. Flame propagation in a small scale parallel flow. Combustion Theory and Modelling, 11:697-714 (2007).
R., Daou, J., and Dold, J. Effect of heat loss on flame edges in a
non-premixed counterflow within a thermo-diffusive model. Combustion
Theory and Modelling, 8:683-699 (2004).
R., Daou, J., and Dold, J. Effect of heat loss on flame edges in a
premixed counterflow. Combustion Theory and Modelling 7:221-242 (2003).
J., Dold, J., and Matalon, M. The thick flame asymptotic limit and
Damkohler’s hypothesis. Combustion Theory and Modelling 6:141-153
J. and Matalon, M. Influence of conductive heat-losses on the
propagation of premixed flames in channels. Combustion and Flame
J. and Matalon M. Flame propagation in Poiseuille flow under adiabatic
conditions. Combustion and Flame 124:337-349 (2001).
J. , Matalon M. and Linan, A. Premixed edge flames under transverse
enthalpy gradients. Combustion and Flame 121:107-121 (2000).
J. and Linan, A. Ignition and extinction fronts in counterflowing
premixed reactive gases. Combustion and Flame 118:479-488 (1999).
J. and Linan, A. The role of unequal diffusivities in ignition and
extinction fronts in strained mixing layers. Combustion Theory and
Modelling 2:449-477 (1998).
Daou, J. Ignition and combustion of fuel pockets moving in an oxidizing atmosphere. Combustion and Flame 115:383-394 (1998).
J. and Rogg, B. Convective burning of gaseous fuel pockets and
supercritical droplets. Combustion and Flame 115:145-157 (1998).
J. and Rogg, B. Influence of gravity on the propagation of initially
spherical flames. Proceedings of the Combustion Institute 26:1275-1281
J., Haldenwang, P. and Nicoli, C. Supercritical burning of liquid
oxygen (LOX) droplet with detailed chemistry. Combustion and Flame,
Research Projects (for prospective PhD and MSc students, and as 4th year projects)
Several projects are available related to the mathematical theory of
flame propagation, a fascinating multi-disciplinary area of applied
mathematics involving ordinary and partial differential equations. The
approach will typically adopt a combination of analytical techniques
(asymptotic methods) and/or numerical techniques (solution of ODEs or
PDEs, mostly parabolic and elliptic). The multi-disciplinary experience
in combustion involved will be useful for tackling research problems in
other fields of application, and wil constitute a valuable asset for
jobs in industry (such as the automobile or the aerospace industry).
Depending on the preference of the candidate, each of the projects can
be tailored in its scope and the methodology of study.
Sample of suggested projects:
- Ignition in a flow field
(such as a Poiseuille flow) and in mixing-layers. The main aim is to
determine the critical energy of the initial hot kernel (or spark) to
ignite a flowing reactive mixture.
- Propagating Flames and their Stability:
This involves the investigation of the various instabilities of
flames using analytical and/or numerical approaches. The
flames will be modelled as travelling wave solutions to
reaction-diffusion-convection equations, which may, or may not, include
full coupling with the hydrodynamics (the Navier-Stokes equation).
- Flame propagation in a multi-scale flow
based on a Hamilton-Jacobi type equation (describing the normal
propagation of the flame) and comparison with results based on the
basic conservation equations.
- Flame initiation and propagation in spatially non-uniform mixtures:
This is a problem of considerable interest in combustion, whenever the
reactants are spatially separated. The approach will be based on
asymptotic and/or numerical methods. The Combustion basics needed
for the projects will be provided and explained to the candidate.
- Laminar aspects of turbulent combustion:
The idea is to ask if the fundamental questions of turbulent combustion
can be answered for simple laminar flows. Since the answer is often no,
we shall formulate and study problems to answer these questions in
simpler laminar-flow situations.
- Generalized Flame Balls and their Stability:
Flame balls are balls of burnt gas in a reactive mixture, which
constitute stationary solutions to non-linear Poisson's equations.
These were first described by the famous Russian physicist Zeldovich
(the father of Combustion Theory) about 70 years ago. The fact that
these solutions are typically unstable provides a powerful fundamental
criterion for successful ignition, i.e. determines the minimum energy
(of the spark) required to generate propagating flames. Several
projects are available to extend the study of these fascinating flames
(mainly their existence and stability) to take into account realistic
effects such as the presence of flow-field, non-uniformity of the
reactive mixture, proximity of walls, etc.
- Taylor dispersion in premixed combustion:
In 1953, the British physicist G.I. Taylor published an
influential paper describing the enhancement of diffusion processes by
a (shear) flow, a phenomenon later termed Taylor dispersion. This
has generated to date thousands of publications in various areas
involving transport phenomena, none of which, surprisingly, in the
field of combustion. In 1940, the German chemist G. Damköhler
postulated two hypotheses which have largely shaped current views on
the propagation of premixed flames in turbulent flow fields. The
project consists of pioneering investigations linking Taylor dispersion
and Damköhler’s hypotheses, and is expected to provide significant
insight into turbulent combustion.
Please contact me for any related query.
|Dr. Joel Daou
|University of Manchester, Alan Turing Building
|Manchester M13 9PL
||(44-161) 200 3218
||(44-161) 200 3669