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Showing papers by "Indian Institute of Technology Bombay published in 1973"


Journal ArticleDOI
TL;DR: However, there are serious limitations in quantitative applications of the Hellmann-Feynman (H-F) theorem with approximate wave functions, since the calculated forces are extremely sensitive to small inaccuracies in the wave functions especially near the nuclei of interest as mentioned in this paper.
Abstract: The applications, most of which have been developed in the last decade, of the Hellmann-Feynman (H-F) theorem in molecular quantum mechanics are reviewed. In general, the forces (on the nuclei of molecules) calculated with the use of this theorem provide great qualitative insight into the nature of the phenomena investigated; outstanding examples of these are in the concepts of chemical binding and molecular shapes. However, there are serious limitations in quantitative applications of the H-F theorem with approximate wave functions, since the calculated forces are extremely sensitive to small inaccuracies in the wave functions, especially near the nuclei of interest. Nevertheless, in view of the fact that it is difficult to discern general qualitative features in very accurate or ab initio molecular calculations, the H-F theorem is likely to be a highly useful tool for developing much needed qualitative chemical models which will be based on firm quantum mechanical foundations and will also remain open to quantitative extension, at least in principle.

386 citations


Journal ArticleDOI
01 Jun 1973-Wear
TL;DR: In this article, the effect of the shape of plate and porosity on bearing performance was calculated, illustrated graphically and in tabular form, and the equation governing the pressure distribution is a Poisson's equation.

148 citations


Journal ArticleDOI
TL;DR: In this article, an analytical solution relating the mass flow rate to the film thickness and other flow parameters have been developed for the general case of gas, and the equation developed reduces to the equation derived for the Newtonian fluid when the flow index is equated to unity.

31 citations


Journal ArticleDOI
TL;DR: In this paper, the absorption edges of cations in the manganites of magnesium, nickel, copper, zinc and cadmium and ferrite samples of composition have been recorded employing a 40 cm curved mica crystal spectrograph of transmission type.

28 citations


Journal ArticleDOI
TL;DR: In this article, a parametric approach for the optimization of system reliability with linear constraints is presented, which is analytically complete, sufficiently accurate and computationally simple, gives optimum or near optimum design.
Abstract: This paper presents a new method for the optimization of system reliability with linear constraints, using the parametric approach [1]. The classical nonlinear programming technique is used for the solution. This method, which is analytically complete, sufficiently accurate and computationally simple, gives optimum or near optimum design. The procedure is illustrated with examples, and flow charts for the problems are given.

23 citations


Journal ArticleDOI
TL;DR: In this article, the lattice stability concept has been briefly reviewed and expressions for the computation of relative stabilities of various structural modifications of metals with the help of phase diagram are presented.

22 citations


Journal ArticleDOI
TL;DR: In this article, the authors used the Muskhelishvili's technique to determine the elastic fields in an elastic circular inclusion and surrounding infinite matrix containing two cracks symmetrically situated, when the matrix is subjected to loads at infinity.

21 citations


Journal ArticleDOI
TL;DR: In this article, a recently developed technique of grain refinement by rapid cyclic heat treatment has been applied to a commercial medium carbon steel and the changes in the microstructure, microfracture and tensile behavior as related to the reduced grain size are reported.

21 citations


Journal ArticleDOI
TL;DR: In this article, self-similar flows behind a cylindrical blast wave in magnetogasdynamics are studied, where the shock is assumed to be propagating in a medium at rest with nonuniform density permeated by an azimuthal magnetic field generated by a constant line current passing along the line source of the blast wave.

17 citations


Journal ArticleDOI
TL;DR: In this article, Sundquist's theory of pearlite growth based on the interface diffusion and local equilibrium across the interface has been employed to explain the anomalous growth rate and interlamellar spacing variation with temperature observed in this system.

16 citations


Journal ArticleDOI
TL;DR: In this paper, an analysis of the fully-developed MHD free convective flow between two vertical, electrically conducting plates has been carried out, and the effects of the external circuit, heat sources and modified boundary conditions on the temperature at the non-perfect thermally conducting plates have been studied.
Abstract: An analysis of the fully-developed MHD free convective flow between two vertical, electrically conducting plates has been carried out. The effects of the external circuit, heat sources and modified boundary conditions on the temperature at the non-perfect thermally conducting plates have been studied. The nonlinear integro-differential equations, governing the flow, have been solved by perturbation method. Velocity and temperature profiles have been shown on graphs and the numerical values of other quantities are entered in tables. It is observed that the flow is stable at small values ofM, the Hartmann number, whereas at large values ofM, an increase inΦ 1 (the thermal conductance ratio) or λ (line heat source) leads to an instability of the flow. However, instability of the flow may be avoided by selecting the plates of high electrical conductivity.


Journal ArticleDOI
TL;DR: In this paper, pressure drop studies were carried out with a view to elucidate the role of swirl generators and the effect of pipe geometry on flow behaviour of non-Newtonian fluids in circular pipes.

Journal ArticleDOI
TL;DR: In this paper, a discrete strip energy method is presented for the analysis of curved box girder bridges of arbitrary cross section and various forms of curved folded plate structures simply supported at the two ends and composed of elements that may, in general, be segments of conical frustra.
Abstract: A discrete strip energy method is presented for the analysis of curved box girder bridges of arbitrary cross section and various forms of curved folded plate structures simply supported at the two ends and composed of elements that may, in general, be segments of conical frustra. The method is based on harmonic analysis in the circumferential direction. The total potential energy of the structure is discretized into energy due to extension and bending and energy due to shear and twisting. The two types of circumferential strip elements are obtained by using a modified finite difference discretization in the transverse direction. The use of minimum energy principles yields two types of element matrices which are assembled to form the overall stiffness matrix of the structure following stiffness matrix procedures. Results of two examples obtained by the method are compared with available solutions.

Journal ArticleDOI
TL;DR: The flow chart for the SCR trigger module for use in a three-pulse cycloconverter circuit is discussed and a mathematical expression for the digital computation of output voltage harmoniic components is derived in terms of the Fourier transform.
Abstract: The flow chart for the SCR trigger module for use in a three-pulse cycloconverter circuit is discussed. Generalized equations for simulating the cycloconverter operation are derived. A mathematical expression for the digital computation of output voltage harmoniic components is derived in terms of the Fourier transform. The computed results of cycloconverter operation for an R-L load are presented.

Journal ArticleDOI
TL;DR: In this paper, self-similar flows behind a radiation-driven shock wave have been investigated, and approximate analytical solutions are presented when the flow is adiabatic or isothermal.


Journal ArticleDOI
TL;DR: In this article, self-similar solutions for one dimensional unsteady adiabatic flow of water, considered to be a compressible fluid, driven by an expanding spherical or cylindrical or plane piston are investigated.

Journal ArticleDOI
TL;DR: In this article, the anion exchange behavior of indium on Dowex 21K in malonic acid and ascorbic acid solutions was studied and their efficiency was evaluated in terms of elution constants.
Abstract: Systematic studies are presented on the anion-exchange behaviour of indium on Dowex 21K in malonic acid and ascorbic acid solutions. Hydrochloric, sulphuric, nitric and perchloric acids, also sodium and ammonium nitrate at different concentrations were tested as eluants in the two systems. Their efficiency was evaluated in terms of elution constants. Methods have been developed for the separation of indium from several elements in malonate as well as ascorbate media with the technique of selective sorption, selective elution or by gradient elution.


Journal ArticleDOI
TL;DR: In this paper, a model for diffusion in ordered DO3 type of structure is presented, based on the six-jump vacancy cycle suggested by Huntington for b.c. ordered structures.

Journal ArticleDOI
TL;DR: In this article, the Fadle-Papkovitch functions for the isotropic case are shown to form a special case of the orthotropic eigenfunctions, and an analysis for orthotropic plates using these functions yields extremely accurate solutions.

Journal ArticleDOI
TL;DR: In this article, the effect of oil groove location and supply pressure on the oil feed rate of a journal bearing was investigated and the results indicated that oil groove position has a great influence on oil feed ratio.
Abstract: Oil feed rate is an important parameter governing the operating characteristics of a journal bearing. In the present paper investigation is carried out to explore the effect of oil groove location and supply pressure on the oil feed rate to the bearing. These results are further used to get variation in Sommerfeld number and attitude angle for different oil groove locations and supply pressures. The results indicate that oil groove location has a great influence on oil feed rate to the bearing. It is also observed that oil supply arrangement does not have a significant influence on Sommerfeld number and attitude angle.

Journal ArticleDOI
01 Jun 1973
TL;DR: In this paper, the authors used mesityl oxide [(CH3)2C[dbnd]CHCOCH3] for the liquid-liquid extraction of antimony.
Abstract: Mesityl oxide [(CH3)2C[dbnd]CHCOCH3] was used for the liquid-liquid extraction of antimony. It can be quantitatively extracted from 3 M hydrochloric acid within 10 sec of equilibration with 15 ml of mesityl oxide. The metal from the organic phase was stripped with 10 ml of water and was determined photometrically as its iodide complex at 425 mm. The probable composition of the extractable species at 3 M hydrochloric acid was either SbCl3 · 3MeO or [HSbCl4 (MeO)3] where MeO is mesityl oxide. The method is simple, rapid, and selective, as it was possible to separate antimony from a large number of elements which are associated with it in alloys and minerals. The method is applicable for the analysis of antimony in solder. The standard deviation is ± 1%.

Journal ArticleDOI
TL;DR: In this article, the authors used thiothenoyltrifluoroacetone (1, 1, 1-trifluro 4-(2-thienyl) 4-mer-captoput-en-3-2-one) for the simultaneous extraction and spectrophotometric determination of cobalt(II).
Abstract: Thiothenoyltrifluoroacetone (1,1,1-trifluoro 4-(2-thienyl) 4-mer-captoput-en-3-2-one) is used for the simultaneous extraction and spectrophotometric determination ofμg amounts of cobalt(II). 10 ml of 0.001M STTA in carbon tetrachloride quantitatively extracts, at pH 6.5, 20μg of cobalt(II) as red orange colored complex which can be measured photometrically at 490 nm. The system conforms to Beer's law in the concentration range of 0.5–6.0μg/ml of Cobalt(II). Studies on the effect of varying volume and concentration of the reagent, stability of the complex, and the period of equilibration were also reported. It is possible to extract and determine cobalt(II) quantitatively in the presence of large number of cations and anions. The method can be made selective by making use of appropriate masking agents.

Journal ArticleDOI
01 Aug 1973
TL;DR: In this paper, the authors used thiothenoyltrifluoroacetone (STTA) for the quantitative extraction of cadmium at tracer level, which was shown to be stable for at least 96 hr. The system adhered to Beer's law in the concentration range of 0.9 to 19 μg/ml.
Abstract: Thiothenoyltrifluoroacetone (STTA) was used for the quantitative extraction of cadmium at tracer level. Cadmium was extracted completely at pH 6.5-7.5 with 0.001 M STTA in carbon tetrachloride as the yellow colored complex which could be measured colorimetrically at 450 nm. The system adhered to Beer's law in the concentration range of 0.9 to 19 μg/ml. The complex was stable for at least 96 hr. Ten milliliters 0.001 M STTA in carbon tetrachloride was adequate for quantitative extraction of cadmium. The optimum period of equilibration was 10 min. It was possible to effect extractive separation and colorimetric determination of cadmium in the presence of 1 : 200 of alkali, alkaline earths, thallium, germanium, and organic complexing acids. Other ions were tolerated in the ratio ≥ 1 : 20. The method was rendered selective by using sequestering agents, such as citric acid, tartaric acid, or alkali cyanide, or by resorting to selective extraction process with either tributylphosphate or acetylacetone.

Journal ArticleDOI
TL;DR: In this paper, an asymmetrical saturation type nonlinearity in series with a linear block whose factors depend upon the number of pulses of the rectifier and the order of subharmonic in question is used.
Abstract: Often subharmonic oscillations of firing angle of thyristor converters with large magnitude in negative feedback control systems are a kind of jump phenomena. For their investigation rectifiers may be modeled by an asymmetrical saturation type nonlinearity in series with a linear block whose factors depend upon the number of pulses of the rectifier and the order of subharmonic in question. Application of the incremental describing function technique results in a set of curves, which is useful for the determination of the critical gain of the system and its design. Results of digital computer simulated systems are in good agreement with the predicted values


Journal ArticleDOI
TL;DR: In this article, the reliability analysis of a system consisting of n identical units (connected in parallel) subject to exponential failure distribution has been studied and an explicit expression for the mean time to system failure has been obtained.

Journal ArticleDOI
TL;DR: In this paper, the dynamics of GaAs is studied using a variety of rigid-ion models and some empirical rules are deduced regarding their accuracy, which are used to evaluate the zone-boundary phonon frequencies for CdTe, InSb, and AlSb.
Abstract: In an earlier paper (referred to as I) effective charges for a number of II-VT and III-V compounds have been obtained from a model of the chemical bond in these crystals. In the present paper, the dynamics of GaAs is studied using a variety of rigid-ion models and some empirical rules are deduced regarding their accuracy. These rules are used to evaluate the zone-boundary phonon frequencies for CdTe, InSb, and AlSb, which have nearly the same effective charges (in the scheme of the present work) as GaAs. Phonon frequencies have also been calculated for ZnS, which is more ionic than the crystals mentioned above. The two and three phonon spectra of AlSb are calculated in order to show a possible way of refining lattice dynamical calculations. In einer fruheren Arbeit (Teil I) wurden effektive Ladungen fur eine Anzahl von II-VI-und III-V-Verbindungen aus einem Modell der chemischen Bindungen dieser Kristalle erhalten. In dieser Arbeit wird die Gitterdynamik von GaAs mit mehreren starren lonen-modellen untersucht und einige empirische Regeln fur ihre Genauigkeit abgeleitet. Diese Regeln werden benutzt, um die Phononenfrequenzen an den Zonengrenzen fur CdTe, InSb und AlSb zu berechnen, die nahezu die gleichen effektiven Ladungen (in dieser Arbeit) wie GaAs haben. Fur ZnS, das starker ionisch ist als die oben erwahnten Kristalle, werden die Phononenfrequenzen ebenfalls berechnet. Das Zwei- und Drei-Phononenspektrum von AlSb wird berechnet, um Moglichkeiten fur verbesserte gitterdynamische Berechnungen zu zeigen.