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    Alessandro Stocchino

    The horizontal mixing induced by large-scale vortical features (macrovortices) in a straight compound channel flow are analysed with specific emphasis on possible similarities with those charac- teristic of a shear layer induced by the... more
    The horizontal mixing induced by large-scale vortical features (macrovortices) in a straight compound channel flow are analysed with specific emphasis on possible similarities with those charac- teristic of a shear layer induced by the meeting of three shallow streams of different speed (shear layer model). An experimental investigation based on PTV and PIV analysis of free surface ve- locities forms
    Experimental measurements of the collision and rebound of a spherical particle with a solid wall in both newtonian and non-newtonian flow are provided. Experiments are carried out in a cubic Plexiglas tank where spheres of different... more
    Experimental measurements of the collision and rebound of a spherical particle with a solid wall in both newtonian and non-newtonian flow are provided. Experiments are carried out in a cubic Plexiglas tank where spheres of different materials, with a di- ameter of 5 and 10 mm, are free to settle in a still fluid. The latter consists of water, in
    Understanding mixing processes that occur in the human vitreous chamber is of fundamental importance due to the relevant clinical implications in drug delivery treatments of several eye conditions. In this article we rely on experimental... more
    Understanding mixing processes that occur in the human vitreous chamber is of fundamental importance due to the relevant clinical implications in drug delivery treatments of several eye conditions. In this article we rely on experimental observations (which demonstrated that dispersion coefficients largely dominate diffusive coefficients) on a physical model of the human eye to perform an analysis based on Lagrangian
    The linear and weakly nonlinear stability of a uniform flow in an infinitely wide open channel with erodible bottom is studied. Under suitable conditions the flow is found to be unstable, leading to the formation of dunes and antidunes.... more
    The linear and weakly nonlinear stability of a uniform flow in an infinitely wide open channel with erodible bottom is studied. Under suitable conditions the flow is found to be unstable, leading to the formation of dunes and antidunes. At a linear level, the corresponding regions of existence are presented and compared with experimental data. A weakly nonlinear analysis is
    An experimental investigation based o n PIV analysis of free surface velocities forms the ba sis for the following analyses of specific features of macrovortices in compound channels. Dynamical properties are seen to strongly depend on... more
    An experimental investigation based o n PIV analysis of free surface velocities forms the ba sis for the following analyses of specific features of macrovortices in compound channels. Dynamical properties are seen to strongly depend on the input discharge (low -discharge, intermediate -discharge and high - discharge conditions). The maximum streamwise mean velocity component increases with both discharge/downstream location and the bell -type crossflow prof ile of the mean streamwise ve locity, typical of the low/intermediate discharges, becomes non -mo notonic at high discharges (need of new types of self -similar solutions). The mean shear at the tran sition region decreases with in creasing discharge . This leads to the reduction of macrovortex generation at the transition region and a simultaneous increas e at the lateral walls. The size of macrovortices in the transition region is closely related to the channel geometry and the shear layer width is found to be almost constant.
    Research Interests:
    ABSTRACT The incidence of Abdominal Aortic Aneurysms (AAA) varies between 3% and 6% of the elder population, especially men over sixty years of age. Moreover, familiarity, smoking and peripherical atherosclerosis are known to be important... more
    ABSTRACT The incidence of Abdominal Aortic Aneurysms (AAA) varies between 3% and 6% of the elder population, especially men over sixty years of age. Moreover, familiarity, smoking and peripherical atherosclerosis are known to be important risk factors. In the United States AAA ruptures cause about 9000 deaths every year. About 33000 elective surgical treatments per year are performer with a mortality of 1400–2800 patients. The percentage of success of surgical treatment remains strictly related to the diagnosis of the stage of the AAA. Mortality rate for elective surgical intervention (asymptomatic aneurysms) is 5%. On the contrary mortality rate for emergency surgical intervention is about 70% [1]. Selection of candidates to surgery is still based on measurement of aortic diameter, with a threshold size of 55 mm. The rate of AAA rupture increases from 21% to 46% for diameters between 50 and 70 mm. The main diagnostic tool currently adopted is the CT that allows for obtaining precise information regarding the dimensions and the morphology of the aneurysm and possible proximal extension (juxarenal, infrarenal, thorac-abdominal) and distal (iliac and hypogastric) of the aneurysm, intramural thrombus. Since rupture occurs when the aneurysm wall fails to withstand the forces acting on it, in vivo data on AAA wall pathology could identify patients at risk of rupture. End-stage aneurysm disease and especially aneurysm rupture are characterized by extensive inflammation of the arterial wall. Although the stimulus for this enhanced infiltration is not known, recent insights into the pathophysiology of aneurysm formation, growth, and rupture indicate a close relationship between increased mechanical stress and the activation of infiltrated lymphocytes and macrophages [2]. This increased inflammatory activity results in the progressive breakdown of the aortic wall, aneurysm dilatation and, ultimately, rupture. A further complication is represented by the mechanical actions exerted on the arterial wall by the internal blood flow. The blood flow is strongly influenced by the presence of an AAA, which modifies significantly the geometry of the aorta. Shear stresses and pressure are important factors to understand the formation and evolution of an AAA. Another important aspect is related to the formation of the thrombus that is thought to be relevant for the wall degeneration, see [3] for a comprehensive review of these topics.
    ABSTRACT The vitreous chamber has an approximately spherical shape, and is filled with vitreous humor, a transparent material with viscoelastic properties. The vitreous humor has the mechanical roles of supporting the eye shape, promoting... more
    ABSTRACT The vitreous chamber has an approximately spherical shape, and is filled with vitreous humor, a transparent material with viscoelastic properties. The vitreous humor has the mechanical roles of supporting the eye shape, promoting the adherence between the retina and the choroid, and acting as a barrier between the anterior and posterior segments of the eye for transport of heat and molecules [1]. Often, in elderly people, the vitreous humor has almost Newtonian properties as a consequence of a liquefaction process consisting of degradation of the collagenous framework of the gel. Moreover, after vitrectomy the vitreous humor is sometimes replaced with viscous tamponade fluids (typically silicone oils). Since intra-vitreal drug injection is increasingly used to treat retinal diseases, and the efficacy of this procedure depends on molecular transport processes after the injection, much of the biomechanical research on the vitreous humor has focused on understanding transport processes in the vitreous chamber. Many authors have considered purely diffusive transport or alternatively diffusion with advective transport due to creeping bulk flow only [2,3]. However, when the vitreous is liquefied, rotational motion of the eye has been shown to induce significant fluid flow, which plays a fundamental role for drug delivery in the vitreous chamber [4–7]. The most significant contribution to mass transport is due to the generation of a steady streaming flow, i.e. a steady flow resulting from the non-linearity in the equations. This flow component gives rise to a slow particle drift that becomes dominant over long times.
    ABSTRACT The posterior chamber of the eye has an approximately spherical shape, and is filled with vitreous humor, a transparent material with viscoelastic properties [1]. The vitreous has the mechanical roles of supporting the eye shape,... more
    ABSTRACT The posterior chamber of the eye has an approximately spherical shape, and is filled with vitreous humor, a transparent material with viscoelastic properties [1]. The vitreous has the mechanical roles of supporting the eye shape, promoting the adherence between the retina and the choroid, and acting as a barrier between the anterior and posterior segments of the eye that inhibits both heat diffusion and molecular transport [2]. Sometimes, particularly in elderly people, the fluid in the posterior chamber has almost Newtonian properties. This can be as a consequence of liquefaction of the vitreous humor due to synchisys (degradation of the collagenous framework of the vitreous humor), or after a vitrectomy, a surgical procedure in which the vitreous humor is replaced by tamponade fluids (typically silicone oils). Since intra-vitreal drug injection is increasingly used to treat retinal diseases, and the efficacy of this procedure depends on molecular transport processes following injection, much of the biomechanical research on the vitreous humor has focused on understanding these processes. Many authors have considered purely diffusive transport or alternatively purely advective transport due to creeping bulk flow [3,4]. However, when the vitreous is liquefied, rotational motion of the eye is also likely to induce significant fluid flow.
    ABSTRACT The vitreous cavity constitutes most of the eye volume and is filled by the vitreous humour or vitreous body. It has the shape of a weakly deformed sphere, the deformation being essentially due to the presence of the lens, which... more
    ABSTRACT The vitreous cavity constitutes most of the eye volume and is filled by the vitreous humour or vitreous body. It has the shape of a weakly deformed sphere, the deformation being essentially due to the presence of the lens, which produces an inward indentation in the anterior part of the chamber. Under normal conditions the vitreous body has the consistency of a gel with viscoelastic rheological behaviour [1]. Ageing gradually disintegrates the gel structure leading to a partial or total vitreous liquefaction. After some surgical procedures (vitrectomy) the vitreous body may be completely replaced by “tamponade fluids”, typically silicon oils, which are left for a certain time within the eye and are eventually replaced by water.
    ABSTRACT An experimental campaign, based on particle image velocimetry (PIV) measurements of free-surface velocities, forms the basis for an analysis of the mixing processes which occur in a compound-channel flow. The flow mixing is... more
    ABSTRACT An experimental campaign, based on particle image velocimetry (PIV) measurements of free-surface velocities, forms the basis for an analysis of the mixing processes which occur in a compound-channel flow. The flow mixing is characterized in terms of Lagrangian statistics (absolute dispersion and diffusivity) and of the related mean flow characteristics. Mixing properties strongly depend on the ratiorh between the main channel flow depth (h*mc) and the floodplain depth (h*fp), and three flow classes can be identified, namely shallow, intermediate, and deep flows. In the present study the large time asymptotic behavior of the mixing characteristics is analyzed in terms of the absolute diffusivity in order to characterize typical values of longitudinal and transversal diffusivity coefficients. Various sets of experiments, which cover a wide range of the governing physical parameters, have been performed and the asymptotic values of the absolute diffusivity have been evaluated. The results are then compared with several studies of flow dispersion for both the longitudinal diffusivity coefficient and the transversal turbulent mixing coefficient. The present results highlight a stronger dependence of such coefficients with the flow-depth ratio than with the flow regime (Froude number).
    ... to assess the role of flow unsteadiness (and thus of coupling or decoupling bed and ... The kinematic and dynamic boundary conditions to be associated with (2) then readat the ... the leading order, the Exner's... more
    ... to assess the role of flow unsteadiness (and thus of coupling or decoupling bed and ... The kinematic and dynamic boundary conditions to be associated with (2) then readat the ... the leading order, the Exner's equation (11) does not produce any additional information, since under ...
    In this paper, we study a model of flow in the vitreous humour in the posterior chamber of the human eye, induced by saccadic eye rotations. We concentrate on the effect of the shape of the chamber upon the mixing properties of the... more
    In this paper, we study a model of flow in the vitreous humour in the posterior chamber of the human eye, induced by saccadic eye rotations. We concentrate on the effect of the shape of the chamber upon the mixing properties of the induced flows. We make particle image velocimetry measurements of the fluid velocity in a transparent plastic (Perspex) model of the posterior chamber during sinusoidal torsional oscillations about a vertical axis. We use a Newtonian fluid to model the vitreous humour, which is most realistic when either the vitreous humour is liquefied or has been replaced by purely viscous tamponade fluids. The model of the posterior chamber is a sphere with an indentation, representing the effect of the lens. In spite of the purely periodic forcing, a steady streaming flow is generated, which plays a fundamental role in the mixing processes in the domain. The streaming flow differs markedly from that in a perfect sphere, and its topological characteristics change substantially as the frequency of oscillation varies. We discuss the flow characteristics in detail and show that, for physiological parameter values, the Péclet number (based on a suitable measure of the steady streaming velocity) is large, suggesting that advection strongly dominates over diffusion for mass transport phenomena. We also compute particle trajectories based on the streaming velocity and use these to investigate the stirring properties of the flow.
    Intravitreal drug delivery is a commonly used treatment for several retinal diseases. The objective of this research is to characterize and quantify the role of the vitreous humor motion, induced by saccadic movements, on drug transport... more
    Intravitreal drug delivery is a commonly used treatment for several retinal diseases. The objective of this research is to characterize and quantify the role of the vitreous humor motion, induced by saccadic movements, on drug transport processes in the vitreous chamber. A Perspex model of the human vitreous chamber was created, and filled with a purely viscous fluid, representing eyes with a liquefied vitreous humor or those containing viscous tamponade fluids. Periodic movements were applied to the model and the resulting three-dimensional (3D) flow fields were measured. Drug delivery within the vitreous chamber was investigated by calculating particle trajectories using integration over time of the experimental velocity fields. The motion of the vitreous humor generated by saccadic eye movements is intrinsically 3D. Advective mass transport largely overcomes molecular diffusive transport and is significantly anisotropic, leading to a much faster drug dispersion than in the case of stationary vitreous humor. Disregarding the effects of vitreous humor motion due to eye movements when predicting the efficiency of drug delivery treatments leads to significant underestimation of the drug transport coefficients, and this, in turn, will lead to significantly erroneous predictions of the concentration levels on the retina.
    The linear and weakly nonlinear stability of a uniform flow in an infinitely wide open channel with erodible bottom is studied. Under suitable conditions the flow is found to be unstable, leading to the formation of dunes and antidunes.... more
    The linear and weakly nonlinear stability of a uniform flow in an infinitely wide open channel with erodible bottom is studied. Under suitable conditions the flow is found to be unstable, leading to the formation of dunes and antidunes. At a linear level, the corresponding regions of existence are presented and compared with experimental data. A weakly nonlinear analysis is
    ABSTRACT A linear stability analysis for dune and ripple formation is presented that implements a rotational two-dimensional flow model valid in the smooth as well as in the transitional and rough flow regimes. Sediment is assumed to be... more
    ABSTRACT A linear stability analysis for dune and ripple formation is presented that implements a rotational two-dimensional flow model valid in the smooth as well as in the transitional and rough flow regimes. Sediment is assumed to be transported as bedload, disregarding the role of suspension. Therefore, the main mechanism driving instability, for both ripples and dunes, is the phase lag between bed shear stress and bed elevation. Ripples are shown to be confined to relatively low values of the Shields parameter and of the particle Reynolds number. For higher values of the Shields parameter and of the particle Reynolds number (and thus of the Froude number and of the roughness Reynolds number), ripples are replaced by dunes. The present analysis ultimately allows for a successful unification of the theories of dune and ripple formation and for a clarification of the debated role of ripples on the formation of dunes. A good agreement between predicted and observed wavelengths for both ripples and dunes is found.
    ABSTRACT The linear stability of a uniform flow in an infinitely wide erodible channel is investigated with respect to disturbances of the bed that are periodic in both the transverse and the longitudinal directions. A rotational flow and... more
    ABSTRACT The linear stability of a uniform flow in an infinitely wide erodible channel is investigated with respect to disturbances of the bed that are periodic in both the transverse and the longitudinal directions. A rotational flow and sediment transport model, originally developed to study the formation of two-dimensional dunes and antidunes, is straightforwardly extended to cover variations in the lateral direction. Sediment is assumed to be transported as bed load, disregarding the role of suspension. Following a standard linearization procedure, a dispersion relationship is obtained that expresses the growth rate and the celerity of the sand wave as a function of the streamwise and spanwise wavenumbers and of the relevant flow and sediment parameters. Regions of instabilities in the space of the parameters are found, which can be associated with bed forms of different kinds, spanning from dunes and antidunes to alternate bars. Therefore, the present theory allows for a unified view of the formation of two- and three-dimensional bed forms in rivers in terms of the relevant flow and sediment parameters.
    Saccadic eye rotations induce a flow in the vitreous humor of the eye. Any such flow is likely to have a significant influence on the dispersion of drugs injected into the vitreous chamber. The shape of this chamber deviates from a... more
    Saccadic eye rotations induce a flow in the vitreous humor of the eye. Any such flow is likely to have a significant influence on the dispersion of drugs injected into the vitreous chamber. The shape of this chamber deviates from a perfect sphere by up to 10-20% of the radius, which is predominantly due to an indentation caused by the lens. In this paper we investigate theoretically the effect of the domain shape upon the flow field generated by saccades by considering an idealized model. The posterior chamber geometry is assumed to be a sphere with a small indentation, undergoing prescribed small-amplitude sinusoidal torsional oscillations, and, as an initial step towards understanding the problem, we treat the vitreous humor as a Newtonian fluid filling the chamber. The latter assumption applies best in the case of a liquefied vitreous or a tamponade fluid introduced in the vitreous chamber after vitrectomy. We find the flow field in terms of vector spherical harmonics, focusing on the deviation from the flow that would be obtained in a perfect sphere. The flow induced by the departure of the domain geometry from the spherical shape has an oscillating component at leading order and a smaller-amplitude steady streaming flow. The oscillating component includes a circulation cell formed every half-period, which migrates from the indentation towards the center of the domain where it disappears. The steady component has two counter-rotating circulations in the anterior part of the domain. These findings are in good qualitative agreement with the experimental results of Stocchino et al. (Phys Med Biol 52:2021-2034, 2007). Our results predict a significant reduction in the expected time for drug dispersal across the eye compared with the situation in which there is no fluid flow present.
    Research Interests:
    ABSTRACT Experimental measurements of the collision and rebound of a spherical particle with a solid wall in both newtonian and non-newtonian flow are provided. Experiments are carried out in a cubic Plexiglas tank where spheres of... more
    ABSTRACT Experimental measurements of the collision and rebound of a spherical particle with a solid wall in both newtonian and non-newtonian flow are provided. Experiments are carried out in a cubic Plexiglas tank where spheres of different materials, with a di- ameter of 5 and 10 mm, are free to settle in a still fluid. The latter consists of water, in the first set of observations, and a solution of Carboxylmethylcellulose (CMC) in wa- ter, in the second set. The rheology of the solution has been investigated and found to behave as an Hershel-Bulkley fluid. Different viscosities have been obtained varying CMC concentrations, providing a transparent media for Particle Image Velocimetry acquisition. The position and the velocity of the particle are estimated measuring in time the position of its centroid. Images have been acquired by IDT Cross correlation camera with a frame rate of 30Hz synchronized with a Nd:Yag laser by New Wave Re- search. Simultaneous measurements of both particle velocity and flow field allow for the identification of flow structures triggered by the sedimentation of the sphere and its impact on the horizontal wall. Comparison between the intensity of the ejections of the two different fluids observed whenever the particle approaches the wall can shed some light on particle wall collision mechanism in non-newtonian flow. Implications can be sought in the mechanism of collision of coarse particles in a muddy matrix, a process known to play an important role in debris flow dynamics.
    The action of wind blowing over a closed basin ultimately results in a steady shear-induced circulation pattern and in a leeward rising of the free surface—and a corresponding windward lowering—known as wind set-up. If the horizontal... more
    The action of wind blowing over a closed basin ultimately results in a steady shear-induced circulation pattern and in a leeward rising of the free surface—and a corresponding windward lowering—known as wind set-up. If the horizontal dimensions of the basin are large with respect to the average flow depth, the occurrence of local quasi-equilibrium conditions can be expected, i.e. the flow can be assumed to be locally driven only by the wind stress and by the opposing free surface gradient due to set-up. This wind-induced flow configuration shows a strong similarity with turbulent Couette–Poiseuille flow, the one dimensional flow between parallel plates generated by the simultaneous action of a constant pressure gradient and of the shear induced by the relative motion of the plates. A two-equation turbulence closure is then employed to perform a numerical study of turbulent Couette–Poiseuille flows for different values of the ratio of the shear stresses at the two walls. The resulting eddy viscosity vertical distributions are analyzed in order to devise analytical profiles of eddy viscosity that account for the effect of wind. The results of this study, beside allowing for a physical insight on the turbulence process of this class of flows, will allow for a more accurate description of the wind effect to be included in the formulation of quasi-3D and 3D models of lagoon hydrodynamics.
    ABSTRACT The analysis of mixing processes in natural streams is very important to understand and predict water contamination and nutrient dispersion. Pollutant behavior is usually modeled by a standard advection-diffusion equation for the... more
    ABSTRACT The analysis of mixing processes in natural streams is very important to understand and predict water contamination and nutrient dispersion. Pollutant behavior is usually modeled by a standard advection-diffusion equation for the concentration. This equation allows an adequate description of the evolution of the passive tracers once the diffusivity tensor has been provided, estimation of which strongly depends on the local character of the flow field. An experimental campaign based on Particle Image Velocimetry (PIV) measurements of free-surface velocities forms the basis for an analysis of mixing processes which occur in a compound channel flow. The flow mixing is analyzed from a Lagrangian point of view, i.e. in terms of single and multiple particle statistics (absolute and relative dispersion and diffusivity) and of the related mean flow characteristics. In the present study the asymptotic behavior of mixing characteristics for larger times, once the ballistic regime has been attained, has been analyzed in terms of the absolute diffusivity in order to characterize typical values of longitudinal and transversal dispersion coefficients. Different series of experiments (related to the ratio rh between the main channel flow depth and the floodplain depth, which classifies the flow in Shallow, Intermediate and Deep, and Fr the Froude number) have been performed and the asymptotic value of the absolute diffusivity has been evaluated. The present study highlights a stronger dependence of coefficients on the main flow characteristics. The results are compared with several dispersion analyses for both the longitudinal dispersion coefficient and the transverse turbulent mixing coefficient presented in the literature.