# François Drolet's research while affiliated with McGill University and other places

**What is this page?**

This page lists the scientific contributions of an author, who either does not have a ResearchGate profile, or has not yet added these contributions to their profile.

It was automatically created by ResearchGate to create a record of this author's body of work. We create such pages to advance our goal of creating and maintaining the most comprehensive scientific repository possible. In doing so, we process publicly available (personal) data relating to the author as a member of the scientific community.

If you're a ResearchGate member, you can follow this page to keep up with this author's work.

If you are this author, and you don't want us to display this page anymore, please let us know.

It was automatically created by ResearchGate to create a record of this author's body of work. We create such pages to advance our goal of creating and maintaining the most comprehensive scientific repository possible. In doing so, we process publicly available (personal) data relating to the author as a member of the scientific community.

If you're a ResearchGate member, you can follow this page to keep up with this author's work.

If you are this author, and you don't want us to display this page anymore, please let us know.

## Publications (46)

The classical empirical Davies correlation has long been recognized, particularly in air filtration, for its ability to predict the permeability of fibrous media. Several models have been proposed in the literature to extend its use for polydisperse fiber media and are reviewed in this paper. To assess their validity, the prediction of fluid permea...

Fibrous filter media are commonly used to remove airborne particles that are harmful to human health and the environment. Although filter media are often multilayered for various reasons, no systematic study of the impact of multilayering on filter media performance has been reported. In this paper, direct numerical simulations with the lattice Bol...

DOI:https://doi.org/10.1103/PhysRevE.101.029901

A new method for detection of viruses has been developed. The entire assay can be performed within 2h, and consists of a polyelectrolyte-multilayer-modified cellulosic filter paper combined with immunodetection. The M13 bacteriophage was used as a model virus. A visual colour-based detection system, anti-M13 horseradish peroxidase (HRP) conjugate a...

We obtain the location of the Hopf bifurcation threshold for a modified van der Pol oscillator, parametrically driven by a stochastic source and including delayed feedback in both position and velocity. We introduce a multiple scale expansion near threshold, and we solve the resulting Fokker-Planck equation associated with the evolution at the slow...

The transfer of a microscopic fluid droplet from a flat surface to a deformable stochastic fibre network is investigated. Fibre networks are generated with different levels of surface roughness, and a two-dimensional, two-phase fluid–structure model is used to simulate the fluid transfer. In simulations, the Navier–Stokes equations and the Cahn–Hil...

We study the propagation of submicron airborne particles through random fibre networks such as paper. In our approach, we first construct a three-dimensional model of the network and then use a Lattice Boltzmann method to obtain the flow of air through that structure. We finally calculate the trajectories of airborne particles and determine the fra...

Analytical expressions for pitchfork and Hopf bifurcation thresholds are given for a nonlinear stochastic differential delay equation with feedback. Our results assume that the delay time τ is small compared to other characteristic time scales, not a significant limitation close to the bifurcation line. A pitchfork bifurcation line is found, the lo...

A new three-dimensional (3D) computer simulation model is proposed to study structure development in wood composites, particularly strand or short fiber wood composites. The model takes into account the stochastic positioning and orientation of the strands within the mat. It also predicts the response of individual strands within the structure to t...

We propose a new fourth-order numerical method for solving the multi-dimensional Kramers equation in standard and overdamped regimes. The algorithm is developed for modelling the trajectories of airborne particles propagating through porous media such as three-dimensional fibre networks. It disentangles the deterministic and stochastic parts of the...

We discuss both qualitatively and quantitatively the phenomenon of ink tack in the situation where a halftone dot is pressed onto a model porous substrate. We first describe the lubrication approximation of the Navier-Stokes equations and discuss its implications for ink tack. This approximation is then extended to a case where the substrate contai...

We discuss the hydrodynamic flow of a fluid dot pressed onto a model porous substrate in a range of parameters representative of printing processes. We first describe the lubrication approximation of the Navier-Stokes equations and discuss its implications for fluid tack, in particular, how tack changes with the thickness of the fluid layer. We the...

We introduce a continuum model to describe the development of morphological instabilities and finger formation in strained polymer films. Such phenomena are commonly observed e.g. during the peeling of adhesives and craze growth in polymer glasses. We treat the polymer as a non-Newtonian viscous fluid and simulate the resulting free-boundary proble...

A mesoscopic model of a diblock copolymer is used to study the motion of a grain boundary separating two regions of perfectly ordered lamellar structures under an oscillatory but uniform shear flow. The case considered is a grain boundary separating lamellae along the so called parallel orientation (with wavevector parallel to the velocity gradient...

We review a class of new computer simulation methods for polymeric fluids and other soft condensed matter systems that are based on an underlying field-theoretic description. These methods, while still in an early stage of development, show considerable promise for studying the equilibrium properties of many-component systems capable of intricate s...

We obtain the stationary probability distribution functions of the order parameter near onset for the one-dimensional real Ginzburg-Landau and Swift-Hohenberg equations with a fluctuating control parameter. A perturbative expansion in the intensity of the fluctuations leads to a hierarchy of Fokker-Planck equations for conditional probability distr...

Recent experiments by Ryu, Hermel, and co-workers have demonstrated a correlation between the presence of bridging A-blocks and practical toughness in themoplastic ABABA pentablock copolymers. Building on this observation, we develop a computational tool for evaluating average bridging fractions of internal blocks in complex block copolymers and ap...

By means of self-consistent mean field theory, we examine the phase behavior of melts of starblock copolymer molecules consisting of three or four arms of different composition joined together at a central core. Constraints peculiar to the star architecture lead to a unique set of microstructures in which the star junctions are often confined to po...

A phase-field model of eutectic growth is proposed in terms of a free energy F, which is a functional of a liquid-solid order parameter psi, and a conserved concentration field c. The model is shown to recover the important features of a eutectic phase diagram and to reduce to the standard sharp-interface formulation of nonequilibrium growth. It is...

We compare star and linear ABC block copolymer self-assembly, as well as screen for new mesophases in both systems, by means of self-consistent mean field theory. The self-consistent field equations were solved in real space within a simulation box with periodic boundary conditions. For each type of chain architecture, the parameter space defined b...

By a combination of theory and experiment, we investigate the factors that control self-assembly of ABC triblock and ABCA tetrablock copolymers. The focus of this study is to understand the effect of attaching or inserting a third block (block C) into AB diblock and ABA triblock copolymers. Theoretical predictions of self-assembled mesophases in AB...

A mesoscopic model of a diblock copolymer is used to study the stability
of a lamellar structure under a uniform shear flow. We first obtain the
nonlinear lamellar solutions under both steady and oscillatory shear
flows. Regions of existence of these solutions are determined as a
function of the parameters of the model and of the flow. Finally, we...

We describe a numerical implementation of self-consistent mean field theory for block copolymers that requires no assumption of the mesophase symmetry. The method is amenable to massively parallel screening of self-assembly in complex block copolymer systems, characterized by high-dimensional parameter spaces. We illustrate the method by screening...

The effects of flow induced by a random acceleration field (g-jitter) are considered in two related situations that are of interest for microgravity fluid experiments: the random motion of isolated buoyant particles, and diffusion driven coarsening of a solid-liquid mixture. We start by analyzing in detail actual accelerometer data gathered during...

A mesoscopic model of a diblock copolymer is used to study the stability of a lamellar structure under a uniform shear flow. We first obtain the nonlinear lamellar solutions under both steady and oscillatory shear flows. Regions of existence of these solutions are determined as a function of the parameters of the model and of the flow. Finally, we...

Our program of research aims at developing a stochastic description of the residual acceleration field onboard spacecraft (g-jitter) to describe in quantitative detail its effect on fluid motion. Our main premise is that such a statistical description is necessary in those cases in which the characteristic time scales of the process under investiga...

A coarse grained model based on the free energy first derived by Leibler is used to study the evolution of a lamellar structure under a periodic uniform shear. Numerical solutions in both two and three dimensional systems are presented for different values of the strain amplitude and shear frequency. The various processes involved in the reorientat...

We use a stochastic model of the residual acceleration field onboard spacecraft (g-jitter), and study the fluid motion that is induced in three different configurations. These configurations have been chosen because they illustrate behavior that is peculiar to a stochastic acceleration, and to emphasize differences with other treatments that are ba...

We re-examine the procedure of adiabatic elimination of fast relaxing variables near a bifurcation point when some of the parameters of the system are stochastically modulated. Approximate stationary solutions of the Fokker-Planck equation are obtained near threshold for the pitchfork and transcritical bifurcations. Stochastic resonance between fas...

We study the effect of external stochastic modulation on a system with O(2) symmetry that exhibits a Hopf or oscillatory instability in the absence of modulation. The study includes a random component in both the control parameter of the bifurcation and in the modulation amplitude. Stability boundaries are computed by either solving the stationary...

We summarize several aspects of an ongoing investigation of the effects that stochastic residual accelerations (g-jitter) onboard spacecraft can have on experiments conducted in a microgravity environment. The residual acceleration field is modeled as a narrow band noise, characterized by three independent parameters: intensity (g(exp 2)), dominant...

Flow induced by a random acceleration field (g-jitter) is considered in two related situations that are of interest for microgravity fluid experiments: the random motion of an isolated buoyant particle and coarsening of a solid-liquid mixture. We start by analyzing in detail actual accelerometer data gathered during a recent microgravity mission, a...

A full phase field model of eutectic growth is proposed, which incorporates the generic features of a eutectic phase diagram and reduces to the sharp-interface model in the appropriate limit. Large scale two-dimensional simulations are presented for the isothermal solidification of a uniformly undercooled eutectic melt, in which the Avrami exponent...

## Citations

... As the permeability of a filter medium depends on fiber orientation (Fotovati et al., 2010b), direct numerical simulation of threedimensional fibrous filter media is the method of choice to study this phenomenon. This methodology was used to study the impact of fiber shape (Fotovati et al., 2011), multilayering fibers with different diameters (Tucny et al., 2020) and the permeability of bidisperse fiber diameter distributions (Clague and Phillips, 1997;Fotovati et al., 2010a;Gervais et al., 2012;Rebai et al., 2011). ...

... A common simplification while investigating the liquid transport in roll-based printing is to treat the roller surfaces as separating plate surfaces. [7][8][9][10][11][12][13][14][15][16][17][18][19] The host plate remains stationary, and the target plate is in vertical, horizontal, or rotational motion. Both plate surfaces may be smooth, representing the liquid transport between two smooth roller surfaces, or one of the plates may contain a cell, representing the liquid flow out of a cell on an ink-metering roller. ...

... We explore the universal rheological properties of interconnected periodic networks, independently of the molecular details of the constituents. We use a coordinate transformation introduced by Drolet, Chen, and Viñals, 13) which makes it possible to evaluate stress-strain relations by solving a set of the amplitude equations for the mesoscopic structures. We employ a mode expansion method and numerically solve the 18 amplitude equations describing a gyroid. ...

... The nip pressures adapted in the simulation correspond to a flat plat that moves vertically to (positive pressure) or away from (negative pressure) the paper substrate. The numerical simulation was followed up and further improved by Holmvall et al (2011), who introduced the immersed and moving boundary method into the simulation. The objective of this work is to extend the application of the Bosanquet model to a printing situation, where an arbitrary and time-dependent nip-pressure presents. ...

... Dubé and co-workers studied the hydrodynamic flow of a half-tone dot pressed onto a model porous substrate by a nip that moved vertically either close to or away from the substrate surface [8]. Ink movement under this nip pressure was described by the lubrication approximation of the Navier-Stokes equations taking into account of fluid tack. ...

... In the case of the printing process, proper interaction of the paper structure with liquids is particularly important. To obtain a high-quality print, it is required that the liquid must be precisely and evenly absorbed within a limited, strictly controlled range [4,5,14,22,43,45]. In paper technology, the operation to reduce the susceptibility of the paper to liquid penetration is known as paper sizing. ...

... Compared with plastics, steel, cement, and other structural material, wood has unique mesoporous and hierarchical structure stemming in its biological origin, which makes it inherit wood material characteristics such as high ratio of strength to weight, certain viscoelasticity, and anisotropy. The mesoporous structures that consist of pores in hardwood, lumina varying in diameter from 10 to 80 μm, pits, and gum canal or resin canal, which together form the interpenetrating cannular networks and offers the penetrability, accessibility, and reactivity of wood materials [1][2][3]. In the past few decades, bio-inspired intelligent responsive materials have become one of the most exciting fields in the research of new materials. ...

... Using multiple scale method [34,35], by substituting ...

... The greatest feature of phage display is the unification of genotype and phenotype. At the same time, because of its simple operation, effective and easy to control, it is currently widely used in epitope analysis [53,54], molecular interaction [55], and preparation of monoclonal antibodies. [56], drug screening [57], vaccine development [58], disease pathogenesis [59] and functional genomics [60] and other research fields. ...

... These CFD methods can also be used to retrieve other fields such as the temperature across the filter wall (Yamamoto and Nakamura, 2011). Once the flow field has been computed, filter capture efficiency can also be obtained by tracking individual particle trajectories using Lagrangian approaches (Wiegmann et al., 2006;Vadeiko and Drolet, 2009;Becker et al., 2016;Stewart et al., 2004) or solving mass transport equations using the Eulerian approach and using probabilistic models of soot deposition (Yamamoto and Ohori, 2012;Tsushima et al., 2010). Physical phenomena at the micron scale can thus be studied using this multi-step methodology. ...