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Professore Ordinario
Dipartimento di Ingegneria Chimica, Chimica
Industriale e Scienza dei Materiali (DICCISM)
Universitą degli Studi di Pisa
Via Dotisalvi 2 - 56126 Pisa
- Italy
Tel. ++39-050-2217848; Fax: ++39-050-2217866;
Email: r.mauri@ing.unipi.it
See the Selected Publication
List.
In the
first part of this research effort, the transport of heat, mass and momentum in
two phase, macroscopically homogeneous systems is studied, both experimentally
and theoretically. Familiar examples include the flow of suspensions through
pipes and the heat and mass conduction through composite materials. In general,
the systems that we study consist typically of two phases, in which one is
finely divided; thus, on the macroscale, the composite can be viewed as an
effective continuum, having a set of well-defined effective properties, such as
an effective diffusivity for the transport of solutes through porous media, or
an effective viscosity, for the flow of suspensions. Since, in principle, the
theoretical determination of a given effective parameter requires the solution
of a corresponding problem on a microscale, which from a practical standpoint
is very difficult to implement, our approach is instead to determine these
effective parameters using some sort of statistical averaging. In this way, we
have determined the effective viscosity of neutrally buoyant suspensions, the
effective reactivity, velocity and diffusivity of solutes in porous media, the
mean thermocapillary velocity of polydisperse suspensions of bubbles, and the
shear-induced diffusivity of suspensions of rigid spheres.
In another
research effort, the phase separation of deeply quenched liquid mixtures into
two phases is studied. Since the phase transition process can be triggered by changing
either the temperature or the composition of the system, separation can be
achieved either by heating and cooling the solvent mixtures across their
miscibility curve, or by adding a solubility modifier. Two main topics are
being currently investigated. First, the morphology of phase separation of
liquid mixtures is studied from a fundamental point of view, both
experimentally and theoretically, showing that it does not correspond to that
of traditional nucleation-and-growth processes. Second, from a more
technological viewpoint, we have developed a new process of solvent extraction,
which a) is much faster than conventional approaches at extracting solutes from
porous materials, and b) is rapid and emulsion-free even when surface active
compounds are added to the system. The first result is due to the fact that in
our process the pores are more effectively wetted, while the explanation of the
second effect is that phase separation of critical liquid mixtures occurs
without the appearance of moving interfaces. The new process has been applied
in bioengineering to extract antibiotics from fermentation broths, and in
remediation, to extract heavy metals from contaminated soils and sludge.
Finally, we have developed a
general approach to simulate multiphase flow processes in confined geometries
using the diffuse interface method. Multiphase flows are generally modeled assuming
that the different phases are separated by an interface, that is a surface of
zero thickness; imposing that the condition of local equilibrium is satisfied,
all physical properties are allowed to change discontinuously across the
interface. Naturally, that results in a free boundary problem, which means that
one of the main problems of this approach is to determine the position of the
interface. In microdevices, an additional difficulty is encountered, as most
lengthscales of the systems are comparable to the real interface thickness;
this problem arises also in modeling drop coalescence and break up and moving
contact angles. In these cases, it is more reasonable to use a different
approach, proposed at the end of the 19th century by Rayleigh and
Van der Waals, where interfaces have a non-zero thickness, i.e. they are
"diffuse", so that all quantities, such as density or composition, vary
continuously. This approach was later generalized by Landau and Ginzburg, who
developed the mean field theory of phase transition. In particular, when the
equations of motion are derived, an additional stress, so called Korteweg
stress, arise naturally as reversible body forces, that tends to minimize the
free energy of the system. This approach has been applied to simulate several
processes, such as a) mixing, spinodal decomposition and nucleation of
macroscopically quiescent regular mixtures; b) deformation, coalescence and
break-up of fluid volumes under shear flows; c) heat transfer enhancement due
to phase change.