Slow flow of a conducting fluid past a non-conducting porous sphere of variable permeability in presence of a uniform radial magnetic field is studied. The drag experienced by the sphere is shown graphically and compared to that for a non-conducting fluid.Notation
velocity vectors of the porous matrix and the conducting fluid
-
P, p
pressures in the porous material and the free fluid
-
K
permeability at a point of the porous medium
-
viscosity
-
v
(=) kinematic viscosity
-
magnetic induction
-
current density
- (r, , )
spherical coordinates
-
dimensionless constant
-
conductivity of the liquid
The authors remain thankful to the referee for his valuable comments and helpful suggestions for improvement of the quality of the paper. 相似文献
9-(2-Phenylethyl)aminoanthracene has been prepared and used as a template in the Diels-Alder/retro-Diels-Alder sequence to produce α,β-butenolides and α,β-unsaturated lactams. In this sequence the aminoanthracene serves as a stereo- and regiocontrolling chaperone in guiding maleic anhydride or N-alkylmaleimides through transformations to the butenolide or lactam targets. 相似文献
The influence of a 1–20% content of PVC in PS films on their thermal stability was investigated. It was found that the thermal stabilities of these blends are higher than that of either of the two pure polymers. This indicated the mutual stabilizing effects of these polymers on each other. The effect is significant when the PVC content in the blends is 1–5%. A higher amount of PVC causes either no significant change or a lowering of the thermal stability. The miscibility of the polymer components in the blends clearly has an important influence on the course of the thermal processes.
Zusammenfassung Der Einfluß von 1–20% PVC in PS-Filmen auf deren thermische Stabilität wurde untersucht. Es wurde festgestellt, daß die thermische Stabilität dieser Gemische höher ist, als die der beiden reinen Polymere für sich. Dies verdeutlicht den gegenseitigen Stabilisierungseffekt der beiden Polymere. Zu einem signifikanten Effekt kommt es bei einem PVC Gehalt der Gemische von 1–5%. Ein höherer Gehalt an PVC führt entweder zu keiner signifikanten Veränderung oder zu einer Abnahme der thermischen Stabilität. Die Mischbarkeit der Polymerkomponenten des Gemisches verfügt eindeutig über einen wichtigen Einfluß auf den Ablauf der thermischen Prozesse.
A novel rhodamine–tryptamine conjugate–based fluorescent and chromogenic chemosensor (RTS) for detection of Hg2+ present in water was reported. After gradual addition of Hg2+ in aqueous methanol solution of RTS, a strong orange fluorescence and deep-pink coloration were observed. The probe showed high selectivity towards Hg2+ compared to other competitive metal ions. The 1:1 binding stoichiometry between RTS and Hg2+ was established by Job’s plot analysis and mass spectroscopy. Initial studies showed that the synthesized probe RTS possessed fair non-toxicity and effectively passed through cell walls of model cell systems, viz., human neuroblastoma (SHSY5Y) cells and cervical cells (HeLa) to detect intercellular Hg2+ ions, signifying its utility in biological system. The limit of detection (LOD) was found to be 2.1 nM or 0.42 ppb by fluorescence titration. Additionally, the potential relevance of synthesized chemosensor for detecting Hg2+ ions in environmental water samples has been demonstrated.
The influence of some irregularities in polystyrene (PS) and polyvinyl chloride (PVC) chains on their thermal stability was investigated. UV irradiation caused an increase in the content of these irregularities in the polymers. It was found that the presence of carbonyl groups and crosslinking of the polymer chains hamper the thermal dehydrochlorination of PVC and the total decomposition of both polymers. On the other hand, weak peroxy linkages (which facilitate degradation processes) and conjugated double bonds decrease the temperature of total decomposition of PS and PVC blends.
Zusammenfassung Es wurde der Einfluß von Unregmlmäßigkeiten in Polystyrol (PS)- und Polyvinylchlorid (PVC)-Ketten auf deren thermische Stabilität untersucht. UV-Bestrahlung verursacht ein Ansteigen des Gehaltes an Unregelmäßigkeiten in den Polymeren. Es wurde festgestellt, daß die Gegenwart von Carbonylgruppen und Querverbindungen der Polymerketten die thermische Dehydrochlorierung von PVC und eine vollständige Zersetzung beider Polymere verhindern. Andererseits senken Peroxidverknüpfungen (die die Degradierungsvorgänge erleichtern) und konjugierte Doppelbindungen die Temperatur für eine vollständige Zersetzung von PS und PVC Gemischen.
The symmetric sinc-Galerkin method developed by Lund, when appliedto the second-order self-adjoint boundary value problem, givesrise to a symmetric coefficient matrix has a special structureso that it can be advantageously used in solving the discretesystem. In this paper, we employ the preconditioned conjugategradient method with banded matrices as preconditioners. Weprove that the condition number of the preconditioned matrixis uniformly bounded by a constant independent of the size ofthe matrix. In particular, we show that the solution of an n-by-ndiscrete symmetric sinc-Galerkin system can be obtained in O(nlog n) operations. We also extend our method to the self-adjointelliptic partial differential equation. Numerical results aregiven to illustrate the effectiveness of our fast iterativesolvers. 相似文献
The electronic structure and high pressure structural phase transition in lanthanum and cerium antimonides have been investigated
using the tight binding LMTO method. Calculation of the total energy reveals that the simple tetragonal structure is stable
at high pressure for both the compounds. In LaSb, the calculated values of the equilibrium cell volume and the cell volume
at which phase transition occurs agree with the experimental results. However, in CeSb, the agreement is not so good. We have
also predicted the most favouredc/a value in the simple tetragonal phase for these compounds. Further, we present the calculated results on the electronic structure
of these systems at the equilibrium as well the reduced cell volumes. 相似文献
The angular distribution of the five-fold differential cross section for the electron impact double ionization of He (21S) and He (23S) has been studied. The kinematical conditions for maxima/minima in the angular distribution for the two cases have been compared.
The two-step process for the double ionization is found to contribute very little in the triplet case. 相似文献
This paper reports the imaging characteristics of an optical system consisting of a lens made of a uniaxial birefringent crystal sandwiched between two linear polarizers under polychromatic input illumination. The optic axis of the birefringent crystal is perpendicular to the lens axis and for an initial investigation, the spectral profile of the input beam is considered to be uniform for all wavelengths. The study reveals that if the variation of the birefringence parameters of the device with the wavelength is less, a larger bandwidth may be used without considerably deviating from the imaging characteristics under strictly monochromatic illumination. The nonlinear variation of birefringence with wavelength results in an asymmetric axial irradiance distribution. This obviates an optimal operating wavelength as well as a proper choice of the lens material. It is found that no appreciable change in image quality under diffraction-limited condition results for an input beam having 632 nm operating wavelength and 60 nm bandwidth. Therefore, it may be feasible to use this system with a white light source in conjunction with a wavelength-selective filter. 相似文献