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Chapter 4 helps the reader develop a basic understanding of boundary layers and their impact on aerodynamic flows, and be able to obtain solutions for basic laminar flows and use the results to estimate properties, such as boundary layer thickness, shear stress, and skin friction. Descriptions are included for the characteristics of turbulent boundary layers, and how they compare to laminar boundary layers. Readers will be presented with information on how drag is impacted by laminar and turbulent boundary layers, including friction and separation. Analysis approaches will be presented to estimate turbulent boundary layer properties, such as boundary layer thickness, shear stress, and skin friction, including how to complete a control volume analysis of a boundary layer flow. Information is also presented for how to calculate the heat transfer and heat-transfer rate for a constant-property flow.
In this study, we introduce a method, applied for the first time to manipulate human cells, by leveraging the controlled activation and deactivation of microbubble streaming – previously used for rigid polymer particles. This innovative technique enables automatic detection and non-destructive sorting of target cells within a microchannel, directing them into a collection chamber for further analysis or removal. A major focus was the quantification of shear stress distribution induced by the microbubble streaming, which confirmed the method’s biocompatibility. Even with prolonged exposure, no damage to live cells was observed, reinforcing the safety and viability of using microstreaming. These findings demonstrate the potential of microbubble streaming as a powerful tool for lab-on-a-chip systems and biomedical diagnostics.
This chapter deals with the linear response of the hull girder to primary loads. The primary structure is defined and vertical bending axial and shear stresses are determined. The theory of shear stresses in open and closed sections is presented. Deflections related to both axial and shear stresses are discussed and hull girder longitudinal bending theory is validated against full-scale measurements. Initial design considerations for longitudinal strength are discussed in relation to rule requirements and the calculation of the section modulus of a transverse section. The combined effect of axial bending and shear-induced axial stresses is discussed and shear lag is defined and calculated. The effective breadth method is described. Horizontal bending of the hull girder is discussed next. The response of the hull girder to torsional loading is discussed next. Torsion theory of thin-walled sections is presented and this leads is applied to the analysis of sections consisting of a number of closed cells subjected to uniform torsion. The last section deals with the determination of critical regions of the hull girder for longitudinal strength with respect to yielding, given that the stress field is multiaxial, longitudinal bending stresses being one component.
In this chapter, basic concepts in fluid mechanics are introduced. Firstly, the definition of a fluid is discussed in depth with the conclusion that a fluid is such a substance that cannot generate internal shear stresses by static deformation alone. Secondly, some important properties of fluids are discussed, which includes viscosity of fluids, surface tension of liquids, equation of state for gases, compressibility of gases, and thermal conductivity of gases. Lastly, some important concepts in fluid mechanics are discussed, which includes the concept of continuum and forces in a fluid. Within these discussions, fluid is compared to solid in both microscopic and macroscopic to reveal the mechanism of its mechanical property. Viscosity of fluid is compared to friction and elasticity of solid to give readers a better idea how it works microscopically. Forces is classified as body force and surface force for further analysis. Finally, continuum hypothesis is introduced to deem the fluid as continuously separable, which tells the reader that fluid mechanics is a kind of macroscopic mechanics that conforms Newtonian mechanics and thermodynamics.
Infective endocarditis remains a severe complication associated with a high morbidity and mortality in patients after heart valve replacement. Exploration of the pathogenesis is of high demand and we, therefore, present a competent model that allows studying bacterial adherence and the role of plasma fibrinogen in this process using a new in-house designed low-volume flow chamber. Three cardiac graft tissues used for pulmonary valve replacement have been tested under shear conditions to investigate the impact of surface composition on the adhesion events.
Methods:
Tissue pieces of cryopreserved homograft (non-decellularised), decellularised homograft and bovine pericardium patch were investigated for fibrinogen binding. Adherence of Staphylococcus aureus to these graft tissues was studied quantitatively under flow conditions in our newly fabricated chamber based on a parallel plates’ modality. The method of counting colony-forming units was reliable and reproducible to assess the propensity of different graft materials for bacterial attachment under shear.
Results:
Bacterial perfusions over all plasma-precoated tissues identified cryopreserved homograft with the lowest affinity for S. aureus compared to decellularised homograft presenting a significantly higher bacterial adhesion (p < 0.05), which was linked to a more avid fibrinogen binding (p < 0.01). Bovine pericardial patch, as a reference tissue in this study, was confirmed to be the most susceptible tissue graft for the bacterial adhesion, which was in line with our previous work.
Conclusion:
The two studied homograft tissues showed different levels of bacterial attachment, which might be postulated by the involvement of fibrinogen in the adhesion mechanism(s) shown previously for bovine tissues.
Antiplane shear is a type of deformation in which the only nonvanishing displacement component is the out-of-plane displacement, orthogonal to the (x,y) plane. The corresponding nonvanishing shear stresses are within that plane. For this type of deformation, the displacement is a harmonic function of (x,y), satisfying the Laplace's equation. We solve and discuss the problems of antiplane shear of a circular annulus, a concentrated line force along the surface of a half-space, antiplane shear of a medium weakened by a circular or an elliptical hole, and the problem of a medium strengthened by a circular inhomogeneity. The stress field near a crack tip under remote antiplane shear loading is derived, as well as the stress field around a screw dislocation in infinite and semi-infinite media. The stresses produced by a screw dislocation near a circular hole or a circular inhomogeneity in an infinite homogeneous medium, and the stresses produced by a screw dislocation in the vicinity of a bimaterial interface are examined.
The analysis of normal and shear stresses over differently oriented surface elements through a considered material point is presented. The Cauchy relation for traction vectors is introduced, which leads to the concept of a stress tensor. The analysis is presented of one-, two-, and three-dimensional states of stress, the principal stresses (maximum and minimum normal stresses), the maximum shear stress, and the deviatoric and spherical parts of the stress tensor.The equations of equilibrium are derived and the corresponding boundary conditions are formulated.
In the previous chapter, it was shown that an aligned composite is usually stiff along the fibre axis, but much more compliant in the transverse directions. Sometimes, this is all that is required. For example, in a slender beam, such as a fishing rod, the loading is often predominantly axial and transverse or shear stiffness are not important. However, there are many applications in which loading is distributed within a plane: these range from panels of various types to cylindrical pressure vessels. Equal stiffness in all directions within a plane can be produced using a planar random assembly of fibres. This is the basis of chopped-strand mat. However, demanding applications require material with higher fibre volume fractions than can readily be achieved in a planar random (or woven) array. The approach adopted is to stack and bond together a sequence of thin ‘plies’ or ‘laminae’, each composed of long fibres aligned in a single direction, into a laminate. It is important to be able to predict how such a construction responds to an applied load. In this chapter, attention is concentrated on the stress distributions that are created and the elastic deformations that result. This involves consideration of how a single lamina deforms on loading at an arbitrary angle to the fibre direction. A summary is given first of some matrix algebra and analysis tools used in elasticity theory.
The finite element method (FEM) was used to study the elastic-plastic contact in the coating systems with interlayer. The results reveal that with the increase of interlayer thickness, the maximum shear stress of coating/interlayer and interlayer/substrate interfaces decreases. Moreover, the sharply changed shear stress between the interfaces of coating/interlayer and interlayer/substrate decreases too. There is no further decrease when interlayer thickness increase to 0.04 mm and above. With the increasing of interlayer elastic modulus, the shear stress of coating/interlayer interface decreases while the shear stress of interlayer/substrate interface increases. Meanwhile, the higher elastic modulus leads to the intensive tensile stress concentration on the interface of coating/interlayer. Hence, the interlayer with appropriate elastic modulus not only reduces the shear stress of coating/interlayer and interlayer/substrate interfaces but also decreases the tensile stress of coating/interlayer interface. The mechanical properties of coating systems were investigated with different interlayer yield strength. The effective hardness and elastic modulus increase with the increase of interlayer yield strength, which is good to protect the substrate from the deformation. In addition, higher indentation load can lead to the decrease of effective hardness and elastic modulus.
This paper examines the effects of shear stress on the structural parameters that define the ‘crystallinity’ of graphite. The results show that highly crystalline graphite samples ground for up to 120 min do not undergo detectable changes in the three-dimensional arrangement of carbon layers but crystallite sizes (Lc and La) decrease consistently with increasing grinding time. Grinding also involves particle-size diminution that results in lower temperatures for the beginning of combustion and exothermic maxima in the differential thermal analysis curves. These changes in the structural and thermal characteristics of graphite upon grinding must be taken into account when such data are used for geothermometric estimations.
Tectonic shear stress also induces reduction of the particle size and the Lc and La values of highly crystalline graphite. Thus, the temperature of formation of graphite according to structural as well as thermal data is underestimated by up to 100°C in samples that underwent the most intense shear stress. Therefore, application of graphite geothermometry to fluid-deposited veins where graphite is the only mineral found should take into consideration the effect of tectonic shearing, or the estimated temperatures must be considered as minimum temperatures of formation only.
The icing wind tunnel can simulate the air flow at a high altitude; such an air flow contains supercooled droplets moving at certain velocities. An integrated experiment method was proposed, and it included the icing test and shear stress measurements in the simulated environment of the icing wind tunnel. The error caused by the change in experimental environments was completely eliminated with this novel method. Thus, there was no discrepancy between the real-time and experimental values of shear stress between the ice and substrate. The experiments of icing and shear stress measurements are carried out by varying the following parameters: icing temperature, mean volume diameter (MVD) of droplets, and surface roughness of the substrate. The results indicate that the shear stress between the ice and the substrate increases with the decrease in temperature provided the temperature is relatively high. When the MVD value is 22 μm, the liquid water content is about 1 g/m3 and surface roughness is 2 μm. Under these conditions, the shear stress reaches its maximum value at a temperature of –15°C. The shear stress is also affected by the MVD values of droplets, and the surface roughness of substrate.
This paper presents an analysis of unsteady flow of incompressible fractional Maxwell fluid filled in the annular region between two infinite coaxial circular cylinders. The fluid motion is created by the inner cylinder that applies a longitudinal time-dependent shear stress and the outer cylinder that is moving at a constant velocity. The velocity field and shear stress are determined using the Laplace and finite Hankel transforms. Obtained solutions are presented in terms of the generalized G and R functions. We also obtain the solutions for ordinary Maxwell fluid and Newtonian fluid as special cases of generalized solutions. The influence of different parameters on the velocity field and shear stress are also presented using graphical illustration. Finally, a comparison is drawn between motions of fractional Maxwell fluid, ordinary Maxwell fluid and Newtonian fluid.
Understanding blood flow in human body’s cerebral arterial system is of both fundamental and practical significance for prevention and treatment of vascular diseases. The mechanism and treatment for the growth of daughter aneurysm on its mother aneurysm are not yet fully understood. Themain purpose of the present paper is to elucidate the relationships between hemodynamics and the genesis, growth, subsequent rupture of the mother and daughter aneurysm on the cerebral vascular. The intensified stents with different porosities and structures are investigated to reduce the wall shear stress and pressure of mother and daughter aneurysm. The simulation is based on a lattice Boltzmann modeling of non-Newtonian blood flow. A novel stent structurewith “dense in front and sparse in rear” is proposed,which is verified to have good potential to reduce the wall shear stress of both mother and daughter aneurysm. The simulation is based on a lattice Boltzmann modeling of non-Newtonian blood flow. A novel stent structurewith “dense in front and sparse in rear” is proposed,which is verified to have good potential to reduce the wall shear stress of both mother and daughter aneurysm.
This paper concentrates on the wall shear stress discussion of implanting bi-leaflet aortic valve and concludes a better valve design. To simulate the haemodynamic characteristics of the blood flow, ANSYS CFX10.0 software was utilized to analyze the three-dimensional Reynolds-averaged Navier-Stokes equations. With a quasi-steady analysis model, we predict values of the blood velocity and the wall shear stress both over the valve leaflets and the endothelial lining. Analysis results highlight that leaflet opening angle and valve geometry affect the shear stress distribution and vortex flow regime. An analysis of haemodynamic study for the St. Jude valve with various openingangles is presented first and the sewing ring geometry change is then recommended. It is found that the wall shear stress decreases significantly after modifying the sewing ring geometry. Maximum shear stress reduces 18.5% compared to that of the original St. Jude model at peak systole. This would ease possible damage of endothelial lining of the aorta.
L'interaction entre un fluide en écoulement et les conduites de transport est en rapport avec le niveau des contraintes appliquées ainsi que la durée de vie souhaitée de la structure. L'approche numérique développée dans cette étude est basée sur une modélisation globale du fluide et de la déformation de la conduite en écoulement transitoire. La contrainte tangentielle de viscosité est exprimée par un développement polynomial mixte représentant la variation du profil radial de la vitesse du fluide. La résolution du système d'équations mis au point a été menée à partir de la méthode des caractéristiques couplée avec les différences finies. Dans le cas d'un fluide newtonien, les résultats obtenus ont pu être comparés avec les données expérimentales de Holmboe et celles théoriques de Zielke. Cette comparaison a permis de confirmer la validité du schéma de calcul utilisé. Une extension des calculs de manière analogue a été réalisée pour la même installation dans le cas d'un fluide viscoélastique linéaire.
By
Gastón A. Rodriguez-Granillo, Erasmus MC, Dr Molewaterplein 40, 3015 GD Rotterdam, The Netherlands,
Patrick W. Serruys, Erasmus MC, Dr Molewaterplein 40, 3015 GD Rotterdam, The Netherlands
Intravascular ultrasound (IVUS) is a catheter-based diagnostic tool that provides a real-time, high-resolution, tomographic view of coronary arteries. There are basically two types of commercially available IVUS imaging catheters: a single-element mechanically rotated transducer and a phased-array electronic system. Mechanical systems comprise a flexible cable with a single rotation transducer that revolves at 30 revolutions per second emitting and receiving ultrasound signals every 1º increment. Phased-array catheters contain a 64-element annular array that enables a coordinated emission of the ultrasound signal. Quantitative angiographic measurements can be misleading since this technique only allows the evaluation of the profile of the lumen. A meta-analysis of angiographic studies has concluded that the magnitude of the antiatherosclerotic effects is small compared with the effects of statins on the prevention of cardiovascular events. The relation between shear stress and plaque vulnerability is currently the subject of intensive research efforts.
We consider a 2D mathematical model describing the motion of asolution of surfactants submitted to a high shear stress in aCouette-Taylor system. We are interested in a stabilization processobtained thanks to the shear. We prove that, if the shear stress islarge enough, there exists global in time solution for smallinitial data and that the solution of the linearized system (controlled by a nonconstant parameter) tendsto 0 as t goes to infinity. Thisexplains rigorously some experiments.
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