Physico-chemical concept of drag reduction nature in dilute polymer solutions (the Toms effect)

The physicochemical concept of turbulent drag reduction (the Toms effect) integrates physicochemical characteristics of polymer solutions with hydrodynamic and rheological flow parameters into a generalized equation, where the increment in volumetric flow rate Q_P is a function of the external shear stress τ_w, temperature, volume of macromolecular coils with immobilized solvent V_c and a function of their volume fraction Ψ = C · [η]/(1 + C · [η]). The Q_P depends on the coil intrinsic elasticity [G] = kT/V_c as well. This model allows one: (1) to describe the Toms effect in terms of useful elastic work spent by macromolecular coils with immobilized solvent to overcome the frictional forces (i.e. the forces of intermolecular interactions), (2) to forecast the initial conditions of the Toms effect (τ_* ≈ (RT)/(M · [η])) and (3) to explain the unusual temperature dependence of the polymer solutions flow.     

Development of asymmetric BTDA-TDI/MDI (P84) copolyimide flat sheet and hollow fiber membranes for ultrafiltration: Morphology transition and membrane performance

In this paper, the effects of γ-butyrolactone (GBL) weight ratio (w_GBL) and membrane thickness on the formation of asymmetric flat sheet membranes prepared with P84 (BTDA-TDI/MDI co-polyimide)/N-methyl-2-pyrrolidone (NMP)/GBL casting solutions are investigated. With the increase of membrane thickness, the transition of membrane morphology from sponge-like to finger-like structure occurs at critical structure-transition thickness L_c. L_c and the general sponge-like structure thickness (L_gs) increase with w_GBL. For 20 wt.% P84/NMP/GBL casting solution, the membrane morphology changes from finger-like to sponge-like structure at the critical weight ratio of GBL (w^? = 0.69). The membrane morphology and performance of hollow fibers spun with various w_GBL are observed. Compared with the hollow fiber membranes made of 18 wt.% P84/NMP/GBL dope solution with w_GBL = 0.75, the hollow fiber membranes spun with w_GBL = 0.25 present a higher permeation flux and a larger MWCO. As w_GBL increases from 0.25 to 0.75, the membrane morphology transfers from finger-like to sponge-like structure. An increase in shear rate shifts the rejection curves towards left, and lowers the MWCO of hollow fiber membranes. For hollow fiber membranes spun with w_GBL = 0.75, a relatively high permeation flux and a large MWCO are obtained by the wet spinning process.     

Characterization and dielectric behavior of willemite and TiO2-doped willemite ceramics at millimeter-wave frequency

Willemite ceramics (Zn₂SiO₄) have been successfully prepared in the temperature range from 1280 to 1340 °C. It is found that willemite ceramics possess excellent millimeter-wave dielectric properties: a dielectric constant ɛ_r value of 6.6, a quality factor Q × f value of 219,000 GHz and a temperature coefficient of resonant frequency τ_f value of −61 ppm/°C. By adding TiO₂ with large positive τ_f value (450 ppm/°C), near zero τ_f value can be achieved in a wide sintering temperature range. With 11 wt% of TiO₂, an ɛ_r value of 9.3, a Q × f value of 113,000 GHz, and a τ_f value of 1.0 ppm/°C are obtained at 1250 °C. The relationships between microstructure and properties are also studied. Our results show that willemite with appropriate TiO₂ is an ideal temperature stable, low ɛ_r and high Q × f dielectric for millimeter-wave application.     

Synthesis and properties of TiO2 added NiNb2O6 microwave dielectric ceramics using a simple process

TiO₂ added NiNb₂O₆ ceramics produced using a reaction-sintering process were investigated. Pure columbite NiNb₂O₆ could be obtained without TiO₂ addition. With 30 and 40 mol% TiO₂ addition, a phase with the same structure of Ni_0.5Ti_0.5NbO₄ formed. Grain growth is easier in pellets with 30 and 40 mol% TiO₂ addition than in the NiNb₂O₆ pellets. Microwave dielectric properties: ?_r = 20.7, Q × f = 19,800 GHz (at 9 GHz) and τ_f = ?31.9 ppm/°C were obtained for NiNb₂O₆ pellets sintered at 1300 °C/2 h. ?_r around 45, Q × f = 5400–7700 GHz (at 6 GHz) and τ_f ～ 73 ppm/°C were obtained in pellets with 30 mol% TiO₂ addition. ?_r around 50, Q × f = 3800–5700 GHz (at 6 GHz) and τ_f ～ 99 ppm/°C were obtained in pellets with 40 mol% TiO₂ addition.     

Microwave dielectric properties of forsterite-based solid solutions

Recently forsterite has been reported as an excellent dielectric material for millimeter wave application. However, its temperature variation of the resonant frequency (τ_f) is relatively large which precludes its immediate use in practical applications. In this paper, we report the effect of substituting Ca and Mn for Mg on the microwave dielectric properties of forsterite. The composition 0.975Mg₂SiO₄–0.025Mn₂SiO₄ showed excellent Q × f value of 180,000 GHz with a τ_f of −71 ppm/°C. The end member Mn₂SiO₄, showed a Q × f of 50,000GHz, ɛ_r of 8.52 and τ_f  =  −90 ppm/°C. In the case of Ca substitution for Mg, τ_f shifted to high negative value with increasing amount of Ca. However, Q × f did not show much change in its value. It is suggested that the increase of τ_f towards a more negative value is related to the ionic radii of the substitutes.     

Mixture behavior and microwave dielectric properties of (1 − x)Ca2P2O7–xTiO2

(1 − x)β-Ca₂P₂O₇–xTiO₂ were prepared by solid-state reaction. The mixture behavior and microwave dielectric properties were investigated using X-ray powder diffraction and a network analyzer, respectively. X-ray powder diffraction patterns showed that β-Ca₂P₂O₇ and TiO₂ existed in a mixture form, which was also confirmed by SEM analysis. It was shown that TiO₂, which has positive temperature coefficient of the resonant frequency (τ_f), compensated the negative τ_f of β-Ca₂P₂O₇ (−53 ppm/°C) through mixture formation. The variation of dielectric properties with a function of TiO₂ contents could be explained using mixture rule. In the 0.3 < x < 0.4 regions, τ_f value could be successfully reduced almost zero. In particular, at x = 0.3, good microwave dielectric properties was obtained: Q × f = 44,000, ɛ_r = 10.9, and τ_f = −11 ppm/°C.     

Microwave dielectric properties of low loss microwave dielectric ceramics: A0.5Ti0.5NbO4 (A = Zn,Co)

The microwave dielectric properties of low-loss A_0.5Ti_0.5NbO₄ (A = Zn, Co) ceramics prepared by the solid-state route had been investigated. The influence of various sintering conditions on microwave dielectric properties and the structure for A_0.5Ti_0.5NbO₄ (A = Zn, Co) ceramics were discussed systematically. The Zn_0.5Ti_0.5NbO₄ ceramic (hereafter referred to as ZTN) showed the excellent dielectric properties, with ɛ_r = 37.4, Q × f = 194,000 (GHz), and τ_f = −58 ppm/°C and Co_0.5Ti_0.5NbO₄ ceramic (hereafter referred to as CTN) had ɛ_r = 64, Q × f = 65,300 (GHz), and τ_f = 223.2 ppm/°C as sintered individually at 1100 and 1120 °C for 6 h. The dielectric constant was dependent on the ionic polarizability. The Q × f and τ_f are related to the packing fraction and oxygen bond valence of the compounds. Considering the extremely low dielectric loss, A_0.5Ti_0.5NbO₄ (A = Zn and Co) ceramics could be good candidates for microwave or millimeter wave device application.     

Effect of Zn2+ substitution on the microwave dielectric properties of LiMgPO4 and the development of a new temperature stable glass free LTCC

The LiMg_(1?x)Zn_xPO₄ ceramics have been prepared by the solid state ceramic route. The LiMg_(1?x)Zn_xPO₄ ceramic retains the orthorhombic structure up to x = 0.2. The compositions with 0.3 ≤ x ≤ 0.8 exist as a mixture of orthorhombic and monoclinic phases. When Mg²⁺ is fully replaced with Zn²⁺ (x = 1.0) complete transition to monoclinic phase occurs. The ceramic with x = 0.1 (LiMg_0.9Zn_0.1PO₄) sintered at 925 °C exhibits low relative permittivity (?_r) of 6.7, high quality factor (Q_u × f) of 99,700 GHz with a temperature coefficient of resonant frequency (τ_f) of ?62 ppm/°C. The slightly large τ_f is adjusted nearly to zero with the addition of TiO₂. LiMg_0.9Zn_0.1PO₄–TiO₂ composite with 0.12 volume fraction TiO₂ sintered at 950 °C shows good microwave dielectric properties: ?_r = 10.1, Q_u × f = 52,900 GHz and τ_f = ?5 ppm/°C. The ceramic is found to be chemically compatible with silver.     

Crystal structure,mixture behavior,and microwave dielectric properties of novel temperature stable (1 − x)MgMoO4 − xTiO2 composite ceramics

Novel temperature stable MgMoO₄–TiO₂ microwave dielectric ceramics were prepared by a solid state reaction process at low temperature (950 °C). As TiO₂ content increases, the relative permittivity increases while the Q × f value decreases, and the variation mechanisms are proposed, respectively. The temperature coefficient of resonant frequency (τ_f) shifts to the positive direction as TiO₂ is added. The mixture mechanisms of τ_f value for two-phase composite materials are supposed. A near-zero τ_f value (3.2 ppm/°C) is obtained when x = 0.3, with ε_r = 9.13 ± 0.03 and Q × f = 11,990 GHz. The 0.7MgMoO₄–0.3TiO₂ composites are considered to be appropriate as a low temperature co-fired ceramic material for microwave wireless communication applications.     

Microwave dielectric properties of Re3Ga5O12 (Re: Nd,Sm, Eu,Dy and Yb) ceramics and effect of TiO2 on the microwave dielectric properties of Sm3Ga5O12 ceramics

Re₃Ga₅O₁₂ (Re: Nd, Sm, Eu, Dy and Yb) garnet ceramics sintered at 1350–1500 °C had a high quality factor (Q × f) ranging from 40,000 to 192,173 GHz and a low dielectric constant (ɛ_r) of between 11.5 and 12.5. They also exhibited a relatively stable temperature coefficient of resonant frequency (τ_f) in the range of −33.7 to −12.4 ppm/°C. In order to tailor the τ_f value, TiO₂ was added to the Sm₃Ga₅O₁₂ ceramics, which exhibited good microwave dielectric properties. The relative density and grain size increased with addition of TiO₂, resulting in the enhancement of Q × f value. The τ_f increased with the addition of TiO₂. Excellent microwave dielectric properties of ɛ_r = 12.4, Q × f = 240,000 GHz and τ_f = −16.1 ppm/°C were obtained from the Sm₃Ga₅O₁₂ ceramics sintered at 1450 °C for 6 h with 1.0 mol% TiO₂. Therefore, Re₃Ga₅O₁₂ ceramics, especially TiO₂-added Sm₃Ga₅O₁₂ ceramics are good candidates for advanced substrate materials in microwave integrated circuits (MICs) applications.     

Effect of dopants on synthesis of BaTi4O9 and Ba2Ti9O20 ceramics prepared by reaction-sintering process

The effect of dopants on BaTi₄O₉ (BT4) and Ba₂Ti₉O₂₀ (B2T9) ceramics by the reaction-sintering process was investigated. CuO addition is more effective in lowering the sintering temperature of BT4 and B2T9 ceramics. MnO₂ and CuO addition are effective to obtain temperature stable BT4 ceramics. With MnO₂ addition, Q × f of BT4 ceramics could be raised. ZrO₂ addition is effective to obtain B2T9 ceramics with higher dielectric constant. With CuO addition, τ_f of B2T9 ceramics shifted toward negative values and 0 ppm/°C could be obtained. Optimum properties in BT4 doped with MnO₂ of ɛ_r = 37.1, Q × f = 51,200 GHz (at 7 GHz) and τ_f = 0 ppm/°C and in B2T9 doped with ZrO₂ of ɛ_r = 37.9, Q × f = 39,700 GHz (at 7 GHz) and τ_f = 5.9 ppm/°C were obtained.     

Microwave dielectric characteristics of SrLaGaO4 and SrNdGaO4 ceramics

SrLnGaO₄ (Ln = La and Nd) ceramics with K₂NiF₄ structure were prepared by solid-state reaction approach, and the microwave dielectric properties and microstructures were characterized. The SrLaGaO₄ and SrNdGaO₄ ceramics with minor secondary phase, Sr₃Ga₂O₆, were obtained by sintering at 1250–1350 °C for 3 h, and good microwave dielectric characteristics were achieved: the ceramics had (1) ɛ = 20.3, Q × f = 16,219 GHz, and τ_f = −33.5 ppm/°C for SrLaGaO₄; and (2) ɛ = 21.4, Q × f = 16,650 GHz, and τ_f = 7.1 ppm/°C for SrNdGaO₄.     

Microwave dielectric properties of LiNb3O8 ceramics with TiO2 additions

The microwave dielectric properties of LiNb₃O₈ ceramics were investigated as a function of the sintering temperature and the amount of TiO₂ additive. LiNb₃O₈ ceramics, which were calcined at 750 °C and sintered at 1075 °C for 2 h, showed a dielectric constant (ɛ_r) of 34, a quality factor (Q × f₀) of 58,000 GHz and a temperature coefficient of resonance frequency (τ_f) of −96 ppm/°C, respectively. The density of the samples influenced the properties of these properties. As the TiO₂ content increased in the LiNb₃O₈–TiO₂ system, ɛ_r and τ_f of the material were increased due to the mixing effect of TiO₂ phase, which has higher dielectric constant and larger positive τ_f. The 0.65LiNb₃O₈–0.35TiO₂ ceramics showed a dielectric constant ɛ_r of 46.2, a quality factor (Q × f₀) of 5800 GHz and a temperature coefficient of resonance frequency τ_f of near to 0 ppm/°C.     

Improvement of the dielectric properties of rutile-doped Al2O3 ceramics by annealing treatment

The microwave dielectric properties of alumina (Al₂O₃) ceramics were studied. The objectives were to improve the large negative temperature coefficient of the resonant frequency (τ_f) of Al₂O₃ ceramics and to obtain a relatively large quality factor (Qf) through the addition of rutile (TiO₂), which has a large positive τ_f, and an annealing treatment. A near-zero τ_f (+1.5 ppm/°C), excellent Qf (148,000 GHz) and ɛ_r (12.4) were obtained in 0.9 Al₂O₃–0.1 TiO₂ ceramics sintered at 1350 °C for 2 h, followed by annealing at 1100 °C for 12 h in air.     

Chloride-induced corrosion of steel in cracked concrete—Part II: Corrosion rate prediction models

Chloride-induced corrosion rate (i_corr) prediction models for RC structures in the marine tidal zone that incorporate the influence of crack width (w_cr), cover (c) and concrete quality are proposed. Parallel corrosion experiments were carried out for 2¼ years by exposing one half of 210 beam specimens (120 × 130 × 375 mm long) to accelerated laboratory corrosion (cyclic wetting and drying) while the other half underwent natural corrosion in the tidal zone. Experimental variables were w_cr (0, incipient crack, 0.4, 0.7 mm), c (20, 40 mm), binder type (PC, PC/GGBS, PC/FA) and w/b ratio (0.40, 0.55). The two proposed models (one each for accelerated and natural i_corr) can aid not only in quantifying the propagation phase, but also provide a novel way to select c, w_cr and concrete quality.     

Mixture behavior and microwave dielectric properties of (1 − x)CaWO4–xTiO2

The microwave dielectric characteristics and mixture behavior of (1 − x)CaWO₄–xTiO₂ ceramics prepared with conventional solid-state route were studied using a network analyzer and X-ray power diffraction, respectively. The CaWO₄ compound had good properties (low permittivity and high quality factor) for microwave applications, but it had a high negative temperature coefficient of resonant frequency (τ_f = −53). Hence, in order to tune the dielectric properties, (1 − x)CaWO₄–xTiO₂ were prepared for different values of x. X-ray powder diffraction and SEM analysis revealed that CaWO₄ and TiO₂ coexisted as a mixture. The mixture formation and dielectric properties could be explained by mixture rule. In particular, at x = 2.6, good microwave dielectric properties were obtained: Qf = 27,000, ɛ_r = 17.48, and τ_f = ∼0 ppm/°C.     

Microwave dielectric properties of novel temperature stable high Q Li2Mg1−xZnxTi3O8 and Li2A1−xCaxTi3O8 (A = Mg,Zn) ceramics

The Li₂Mg_1?xZn_xTi₃O₈ (x = 0–1) and Li₂A_1?xCa_xTi₃O₈ (A = Mg, Zn and x = 0–0.2) ceramics are synthesized by solid-state ceramic route and the microwave dielectric properties are investigated. The Li₂MgTi₃O₈ ceramic shows ?_r = 27.2, Q_u × f = 42,000 GHz, and τ_f = (+)3.2 ppm/°C and Li₂ZnTi₃O₈ has ?_r = 25.6, Q_u × f = 72,000 GHz, and τ_f = (?)11.2 ppm/°C respectively when sintered at 1075 °C/4 h. The Li₂Mg_0.9Zn_0.1Ti₃O₈ dielectric ceramic composition shows the best dielectric properties with ?_r = 27, Q_u × f = 62,000 GHz, and τ_f = (+)1.1 ppm/°C. The effect of Ca substitution on the structure, microstructure and microwave dielectric properties of Li₂A_1?xCa_xTi₃O₈ (A = Mg, Zn and x = 0–0.2) has also been investigated. The materials reported in this paper are excellent in terms of dielectric properties and cost of production compared to commercially available high Q dielectric resonators.     

Low-temperature sintered MgWO4–CaTiO3 ceramics with near-zero temperature coefficient of resonant frequency

The phases, microstructure, composition analysis and microwave dielectric properties of (1 ? x)MgWO₄–xCaTiO₃ ceramics with Li₂CO₃–4H₃BO₃ additions prepared by solid-state reaction method have been investigated by using X-ray diffraction, scanning electron microscopy, energy-dispersive spectroscopy and advantest network analyzer. The τ_f of (1 ? x)MgWO₄–xCaTiO₃ were dependent on phase constitutions. The microwave dielectric properties of 0.91MgWO₄–0.09CaTiO₃ ceramics with Li₂CO₃–4H₃BO₃ were characterized, the results indicated that the ?_r and Q × f were associated with the sintering temperature and amount of Li₂CO₃–4H₃BO₃. The sintering temperature of ceramics was reduced to 950 °C from 1150 °C and τ_f was modified to 0 ppm/°C with good Q × f. Addition of 5.0 wt% Li₂CO₃–4H₃BO₃ in 0.91MgWO₄–0.09 CaTiO₃ ceramics sintered at 950 °C showed excellent dielectric properties of ?_r = 15.5, Q × f = 20,780 GHz (f = 7.1 GHz) and τ_f ～ 0 ppm/°C. The material has a chemical compatibility with silver, making it a very promising candidate materials for LTCC applications.     

Enzymatic synthesis of poly(ɛ-caprolactone) in supercritical carbon dioxide medium by means of a variable-volume view reactor

Poly (ɛ-caprolactone) (PCL) is a biodegradable polyester approved for applications in the human body such as drug delivery devices and sutures. Conventional synthesis of PCL involves metal catalysts and organic solvents that may leave toxic residues in the products and contribute to environmental pollution. Polymerization processes catalyzed by enzymes are becoming more attractive due to the importance of clean processes, which produces substances free of residues, ideal for pharmaceutical and food applications. The aim of this work was to investigate the enzymatic ring-opening polymerization (e-ROP) of PCL in supercritical carbon dioxide (scCO₂) solvent medium through a set of experiments assessing the influence of pressure (120–280 bar), solvent/monomer ratio (2:1–1:2 mass ratio) and enzyme percentage related to monomer (5–15 wt%) on the reaction yield, number-average molecular weight (M_n), weight-average molecular weight (M_w) and polydispersity index (P.I.). The results of these first experiments were used in the selection of the conditions for the kinetic experiments evaluating the influence of catalyst content and temperature on reaction yield, M_n, M_w, P.I. and on the characteristics of the polymer produced. This study also evaluates the enzyme reuse in order to reduce the impact of the enzyme cost on the process. Results for ANOVA statistical analysis for the first set of experiments show that the pressure or the solvent density has no significant influence over the parameters evaluated, while the solvent/monomer mass ratio presented significant effect on M_n and on M_w, with the best results obtained for the solvent/monomer mass ratio of 1:2. As expected, the enzyme content affects significantly all parameters evaluated. Polymerization results for the kinetic experiments indicate reaction yields up to 90 wt%, M_n up to 13,700 Da and M_w up to 22,200 Da, with P.I. ranging from 1.2 to 1.7. Taking into account the reaction productivity, the conditions for the reuse assays were chosen: 120 bar, 1:2 solvent/monomer ratio, 3 wt% of enzyme, 65 °C and 12 h of reaction. The enzyme recycling experiments suggested viability up to the second cycle as an alternative to improve the enzyme use. The variable-volume view reactor was adequate to provide simultaneous control of the process variables.     

Two novel ultralow temperature firing microwave dielectric ceramics LiMVO6 (M = Mo,W) and their chemical compatibility with metal electrodes

Low temperature cofired ceramics technology (LTCC) has been widely studied and used in wireless communication because of their outstanding capability for device miniaturization and integration. However, many commercial microwave dielectric materials have high sintering temperatures that pose challenge for cofiring with inner electrodes. Herein, two brannerite vanadate LiMVO₆ (M = Mo, W) ceramics with intrinsically low sintering temperatures were prepared. Dense and stable LiMVO₆ (M = Mo, W) ceramics could obtained at 640 °C for LiMoVO₆ and 700 °C for LiWVO₆. Favorable microwave dielectric properties were also obtained with ε_r = 13.3, Q × f = 12,460 GHz, and τ_f = +101.0 ppm/°C for LiMoVO₆ and ε_r = 11.5, Q × f = 13,260 GHz, and τ_f = +163.8 ppm/°C for LiWVO₆. Moreover, the relationship between crystal structure and microwave dielectric properties was studied by means of packing fraction, bond valence, and octahedral distortion. Their chemical compatibility with the metal electrodes were confirmed.