Le jet libre immergé d'un fluide viscoélastique

Résumé Les auteurs étudient le jet libre laminaire bidimensionnel d'un fluide viscoélastique obéissant à une loi de comportement semiempirique. Ils appliquent la méthode de raccordement des développements asymptotiques afin de déterminer le profil de vitesses à l'intérieur du jet, et l'entraînement du fluide extérieur. Les résultats obtenus illustrent l'influence de l'élasticité sur le champ de vitesse et la présence d'un gradient de pression à l'intérieur du jet. Les lignes de courant obtenues montrent que le fluide externe est aspiré vers l'axe du jet.

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Summary A two-dimensional laminar free jet of a viscoelastic fluid following a semiempiric constitutive equation is studied. The method of matching asymptotic expansions is applied to determine the velocity profiles inside the jet and the entrainment of the external fluid. The results thus obtained highlight the influence of elasticity on the velocity field and the presence of a pressure gradient inside the jet. The streamlines obtained show that the external fluid is sucked in towards the axis of the jet.

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Zusammenfassung Es wird der laminare zweidimensionale Freistrahl einer viskoelastischen Flüssigkeit, die einem halbempirischen Stoffgesetz folgt, untersucht. Asymptotische Entwicklungen werden aneinandergefügt, um die Geschwindigkeitsverteilung in der Strahlströmung und die Ansaugkraft der äußeren Flüssigkeit zu bestimmen. Die erzielten Ergebnisse zeigen den Einfluß der Elastizität auf die Geschwindigkeitsverteilung und das Bestehen eines Druckgradienten innerhalb der Strahlströmung. Die abgeleiteten Stromlinien zeigen weiter, daß die äußere Flüssigkeit zur Strahlachse hin angesaugt wird.

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A ₁;A ₂;A ₃ tenseurs de Rivlin-Ericksen - A constante définie par [27] - D domaine d'écoulement - f ₁();f ₀() fonctions définies par la transformation [20] - I tenseur unité - J nombre adimensionnel [12] - L longueur de référence - M flux total d'impulsion [19]m: µ/ - N _Re nombre de Reynolds - N _w nombre de Weissenberg - n indice de comportement - p pression - s indice de comportement «élastique» - T tenseur des contraintes - U ₀ vitesse de référence - u, v composantes du vecteur vitesse - x, y coordonnées cartésiennes - Y coordonnée de «couche limite» [9] - Z variable complexe - angle entre les parois de la fente - paramètre de perturbation - variable affine [20] - () fonction définie par [2c] - coefficient d'élasticité - fonction de viscosité [2a] - µ indice de consistance - masse volumique - ; fonctions de courant - fonction définie par [2b] - 2ème invariant principal du tenseurA ₁ Avec 7 figures     

The stick-slip problem for a round jet

Summary The stick-slip problem for a round jet studied in Part I gives a good approximation for the swell of a low speed jet when the surface tension is large but it fails when the surface tension is small. In this paper a new stick-slip problem (II) is defined and solved using matched eigenfunction expansions. The new problem reduces to that solved in Part I when the surface tension is large and gives good results in the case of zero and small surface tension.With 18 figures     

Transient flows of a second grade fluid

Exact analytical solutions for a class of unsteady unidirectional flows of an incompressible second-order fluid are constructed. The flows are generated impulsively from rest by motion of a plate or two plates or by sudden application of a pressure gradient. Expressions for velocity, flux and skin friction are obtained for both large and small times. It is found that large and small times solutions are dependent on the coefficient of viscoelasticity. The solutions corresponding to Newtonian fluids can be easily obtained from those for fluids of second order by letting the viscoelastic parameter to be zero.     

Theoretical and experimental analysis of longitudinal wave propagation in cylindrical viscoelastic rods

Wave propagation in viscoelastic rods is encountered in many applications including studies of impact and fracture under high strain rates and characterization of the dynamic behavior of viscoelastic materials. For viscoelastic materials, both material and geometric dispersion are possible when the diameter of the rod is of the same order as the wavelength. In this work, we simplify the Pochhammer frequency equation for low and intermediate loss viscoelastic materials and formulate corrections for geometric dispersion for both the phase velocity and attenuation. The formulation is then experimentally verified with measurements of the phase velocity and attenuation in commercial polymethylmethacrylate rods that are 12 and in diameter. Without correcting for geometric dispersion, the usable frequency range for determining the phase velocity and attenuation for the rod is about , and about for the rod. Using the correction procedure developed here, it was possible to accurately determine the phase velocity and attenuation up to frequencies exceeding for the rod and for the rod. These corrections are applicable to many polymers and other viscoelastic materials. From thereon, the viscoelastic properties of the material can be determined over a wide range of frequencies.     

Direct modeling of flow of FENE fluids

Direct simulations of macromolecular fluids are carried out for flows between parallel plates and in expanding and contracting channels. The macromolecules are modeled as FENE dumbbells with soft disks or Lennard-Jones dumbbell-dumbbell interactions. The results are presented in terms of profiles and contour plots of velocity, pressure, temperature, density, and flow fields. In addition the data for potential energy, shear stress, and the normal components of the stress tensor are collected. In general, an excellent agreement is found between the simulated profiles and the well-known flow structures, such as flow separation and formation of viscous eddies, indicating that micro-hydrodynamics is a viable tool in linking macroscopic phenomena with the underlying physical mechanisms. The simulations are performed in the Newtonian regime, for medium-size systems comprising up to 3888 dumbbells. This number is sufficiently large to control boundary and particle number effects. The flow is induced by gravity. The traditional stochastic (thermal) and periodic boundary conditions are employed. Also, diffusive boundary conditions, which could include a stagnant fluid layer and repulsive potential walls, are developed. The scaling problems, which are related to the application of a large external force in a microscopic system (of the size of the order 100 Å), result in extreme pressure and temperature gradients. In addition, the viscosity and thermal conductivity coefficients obtained from velocity and temperature profiles of the channel flow are presented. These results are confirmed independently from modeling of Couette flow by the SLLOD equations of motion and from the Evans algorithm for thermal conductivity.     

圆柱壳大开孔问题——单圆孔的理论解

从Ｄｏｎｎｅｌｌ圆柱壳方程出发，利用复变函数与保角映射的方法，将圆柱壳展开面上的开孔边界线保角晨射成单位圆，并在映射平面上给出了逼近大开孔圆柱壳方程解答的完备函数逼近序列，进而利用边界条件和正交函数展开的方法得到了自由孔边应力集中系数的表达式，最后，对具有开孔率的圆柱壳在不同荷载条件下的自由孔口边界上的应力集中的系数进行了计算，此种方法，同时研究圆柱壳开非圆大孔和接管等问题提供了可能性。     

Retention behaviors of novel ionic liquid stationary phases and their selectivity for capillary gas chromatography

<正>One chloride-terminated ionic liquid(CTIL) and two hydroxyl-terminated ionic liquids(HTILs) were synthesized and used as stationary phases for capillary gas chromatography(CGC).Molecular interactions of these stationary phases were evaluated by Abraham solvation parameter model,indicating that the CTIL exhibits remarkably strong H-bond basicity and the HTILs possess both H-bond basicity and acidity.The molecular interactions were further confirmed by separation of a complex mixture consisting of ketones,aldehydes,esters,alcohols and aromatic compounds.It was found that the obtained solvation parameters correlate well with the chromatographic performances of the analytes in terms of elution order and resolution.The well correlated relationship between the solvation parameters and the selectivity of the CTIL and HTILs stationary phases is quite helpful in predicting and understanding the retention behaviors of different types of analytes on these stationary phases.     

顶空气相色谱法测定聚氯乙烯固体药用硬片中氯乙烯单体含量的测量不确定度评定

依据CNAS-GL06,对顶空气相色谱法测定聚氯乙烯固体药用硬片中氯乙烯单体含量的测量不确定度进行系统分析,找出影响测量结果不确定度的主要因素。对各不确定度分量进行了评定和量化,计算了合成标准不确定度和扩展不确定度,聚氯乙烯固体药用硬片中氯乙烯单体含量的测定结果表示为(4.17±0.18)×10-7,k=2。     

Visual detection of melamine in milk products by label-free gold nanoparticles

A simple, rapid, field-portable colorimetric method for the detection of melamine based on melamine-induced color change of label-free gold nanoparticles (Au NPs) was developed in this study. Melamine can induced the aggregation of Au NPs and results in the color change from wine-red to purple, which provided a platform for rapid and field-portable colorimetric detection of melamine. The proposed method can be used to detect melamine in liquid milk and infant formula with a detection limit of 1.0 and 4.2 ppm, respectively, within 30 min by naked eyes observation without the aid of any advanced instrument and the need of any complex pretreatment, and detect as low as 0.15 ppm of melamine in liquid milk and 2.5 ppm of melamine in infant formula with UV-vis-spectroscopy. The proposed method is promising for on-site screening of melamine adulterant in milk products.     

Synthesis of the western half of breviones C, D, F and G

The enantioselective synthesis of the diterpenic moiety in the abeo-breviano skeleton is reported. The synthesis is carried out starting from 2-methyl-1,3-cyclohexanedione and EVK in eleven steps following a ring-expansion strategy once the tricyclic perhydrophenantrene skeleton has been obtained. A new Tiffeneau-Demjanov rearrangement under dark conditions is reported in which the insertion of the new methylene group is directed towards the most hindered side of the carbonyl group. This result is new and opposite to those reported in the literature under light (filtered or un-filtered wavelengths) conditions where insertion in the less hindered side is usually preferred.