Studies in qualitative inorganic analysis. Part XXVI

Summary The preliminary tests for organic radicals, which are based on charring by strong heating or by hot concentrated sulphuric acid are examined. Even when both these tests are applied some organic acids escape identification. Two alternative procedures based upon oxidation of organic matter with potassium dichromate in dilute sulphuric have been examined. The first procedure involves a reduction of the dichromate ion to the distinctive green chromium(III) ion. This occurs with all organic radicals commonly encountered in qualitative inorganic analysis, except acetate and salicylate. Interference due to inorganic reducing agents is overcome by a preliminary oxidation with hydrogen peroxide. The second procedure involves decomposition of carbonates, bicarbonates, and cyanates with dilute sulphuric acid, followed by oxidation of organic matter with potassium dichromate in sulphuric acid to carbon dioxide, which is detected with lime water. Of the radicals commonly encountered in qualitative inorganic analysis only acetate gives a negative result.

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Zusammenfassung Die Vorprobe auf organische Anionen auf Grund ihrer Verkohlung durch kräftiges Erhitzen oder durch Einwirkung konz. Schwefelsäure wurde überprüft. Auch bei Anwendung beider Arbeitsweisen entziehen sich einige organische Säuren dem Nachweis. Zwei andere Verfahren auf der Grundlage der Oxydation des organischen Materials mit Kaliumbichromat in verd. Schwefelsäure wurden untersucht. Das erste führt zur Reduktion des Bichromats zu deutlich grün gefärbtem Cr(III) mit allen bei der anorganischen Analyse üblicherweise auftretenden organischen Anionen, ausgenommen Acetat und Salicylat. Störungen durch reduzierende anorganische Substanzen werden durch deren vorherige Oxydation mit Wasserstoffperoxid umgangen. Das zweite Verfahren sieht die vorherige Zersetzung anwesender Carbonate, Bicarbonate oder Cyanate mit verd. Schwefelsäure vor, wonach das organische Material mit Kaliumbichromat-Schwefelsäure zu Kohlendioxid oxydiert wird, das mit Kalklösung nachgewiesen wird. Von den in der anorganischen Analyse üblichen organischen Anionen gibt nur Acetat ein negatives Resultat.

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Résumé On examine les essais préliminaires pour radicaux organiques, fondés sur la carbonisation par chauffage à température élevée ou sur l'action de l'acide sulfurique concentré chaud. Même en appliquant ces deux modes de recherche, certains des acides organiques échappent à l'identification. On a étudié deux autres procédés susceptibles d'être utilisés. Ils reposent sur l'oxydation de la matière organique par le bichromate de potassium en milieu sulfurique dilué. Le premier met en jeu la réduction de l'ion bichromate en ion chrome-III vert caractéristique. Cette réaction se produit avec tous les radicaux organiques habituellement rencontrés en analyse minérale qualitative, sauf avec les acétates et les salicylates. On élimine l'interférence due aux agents réducteurs minéraux par oxydation préliminaire par l'eau oxygénée. Le second procédé met en jeu la décomposition des carbonates, hydrogénocarbonates et cyanates par l'acide sulfurique dilué, suivie d'une oxydation de la matière organique par le bichromate de potassium dans l'acide sulfurique, en gaz carbonique que l'on met en évidence par l'eau de chaux. Seul l'ion acétate donne un résultat négatif parmi tous les radicaux rencontrés habituellement en analyse minérale qualitative.

     

Studies in qualitative inorganic analysis. Part XXVIII

Summary Schemes for the analysis of the Copper-Tin group are reviewed. The advantages of the scheme recommended by the Midlands Association for Qualitative Analysis are discussed.

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Zusammenfassung Analysen-Schemata für die Kupfer-Zinn-Gruppe wurden besprochen. Die Vorteile des Analysenganges der Midlands Association for Qualitative Analysis werden diskutiert.

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Résumé Examen des différents processus d'analyse du groupe cuivre-étain. Discussion des avantages de la technique recommandée par la Midlands. Association pour l'analyse qualitative.

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Part XXVII: Mikrochim. Acta [Wien]1967, 389.     

On perturbations associated with the creation of lift acting on a body in a transonic stream of a dissipative gas PMM vol. 31, no. 6, 1967, pp. 1035–1049

The flow pattern of a viscous imcompressible fluid past a finite body is well known; an approximate solution of the related problem can, for example, be found in the book by Landau and Lifshits [1]. Finn [2] made a rigorous and exhaustive study of plane-parallel flows. No fundamental difficulties arise in passing from the motion of an incompressible fluid to a transonic flow of a compressible gas, however the velocity field is different, when the velocity of particles becomes critical at infinity.

The pattern of a sonic flow past a body of circular cross-section was investigated in paper [3]. This paper deals with perturbations associated with the creation of lift acting on an arbitrary body in a three-dimensional flow. When solving this problem it is necessary to consider not only the external stream, but also the laminar vortex trail because of the velocity vector transverse components becoming infinitely great, if functions defining these are formally extended into the trail area. This difficulty arises in investigations of three-dimensional flows only. The solution defining perturbation damping in an axisymmetric sonic stream of a dissipative gas has in its first approximation one singular point only, and does not contain any other singularities along the axis of symmetry [3].

The external stream pattern is essentially formed by the action of normal viscous stresses and the longitudinal component of the heat flux vector, while the distribution of gas parameters in the laminar trail is defined by tangential stresses. The conjunction of solutions valid for each of these areas makes the closure of the problem, and the determination of all necessary parameters possible.     

Generalized-hypergeometric solutions of the biconfluent Heun equation

The Ramanujan Journal - Infinitely many cases for which two independent fundamental solutions of the biconfluent Heun equation can each be presented as an irreducible linear combination of two...     

The crystal structure of eudesma-4(15),7(11)-dien-8α, 12-olide: a sesquiterpene lactone fromTrattinickia rhoifolia Willd

The title compound, formula C₁₅H₂₀O₂, is orthorhombic, P2₁2₁2₁ witha=8.747(2),b=12.025(3),c=12.554(3)Å,Z=4, andD _m =1.32(2)g/ml. The structural analysis shows that the compound corresponds to eudesma-4(15),7(11)-dien-8,12-olide, a sesquiterpene lactone previously isolated fromAster umbellatus but whose crystal structure was unknown.     

An experimental investigation of the sources of propeller noise due to the ingestion of turbulence at low speeds

Noise radiation from a four bladed, 10 in. diameter propeller operating in air at a rotational speed of 3000 RPM and a freestream velocity of 33 ft/s was experimentally analyzed using hot-wire and microphone measurements in an anechoic wind tunnel. Turbulence levels from 0.2 to 5.5% at the propeller location were generated by square-mesh grids upstream of the propeller. Autobicoherence measurements behind the blade trailing edges near the hub and tip showed regions of high phase-coherence between the blade-passage harmonics and the broadband frequencies. Inflow turbulence reduced this coherence. By relating the fluctuation velocities in the propeller wake to the unsteady blade forces, the primary regions of tonal noise generation have been identified as the hub and tip regions, while the midspan has been identified as a region responsible for broadband noise generation. These measurements were complimented by cross-spectra between the propeller wake-flow and the measured sound. The effect of turbulence on the radiated noise level showed an overall increase of 2 dB in the broadband levels for every 1% increase in turbulence. This effect varied for different frequency bands in the acoustic spectrum.List of Symbols b ² (f _k, f _l) Bicoherence - B (k, l) Bispectrum - B Number of Blades - c Speed of Sound - C _T Thrust coefficient=T/n ²D⁴ - D Propeller diameter - E [ ] Expected value - f Frequency, Hz - G _xx (f) One sided autospectral density function. - G _xy (f) One sided cross-spectral density function - J Advance ratio, J=U/nD - j, k Fourier component indices - m Grid mesh length - M _o Rotational mach number at a radial location M _o =2nr/a _o - M _c Axial convection mach number - n Rotational speed, revolutions per second - r Propeller radial location - R Propeller radius - R _e Reynolds number - T Propeller thrust - U Freestream velocity - U _i Induced axial velocity from propeller - u, w RMS of fluctuating velocity, u=(U–u)² - X(f) Fourier transform of x(t) Symbols _xy ^/2 (f) Coherence function, - Observer angle, measured from propeller thrust direction - _f Longitudinal Eulerian dissipation length scale - _f Longitudinal Eulerian integral length scale - Air density - Blade azimuthal location This research was performed at the Hessert Center for Aerospace Research, Department of Aerospace and Mechanical Engineering, University of Notre Dame, and was sponsored by the U.S. Navy, Office of Naval Research, Arlington, Virginia under Contract No. N00014-89-J-1783. The authors would like to thank the program manager, and technical manager, Dr. E. P. Rood. The authors would also like to thank Dr. William Blake of the David Taylor Research Center and Dr. Flint O. Thomas and Dr. Huang-Chang Chu of Notre Dame for their help and comments at various stages of this research     

Quantization of Poisson pencils and generalized lie algebras

We describe two types of Poisson pencils generated by a linear bracket and a quadratic one arising from a classical R-matrix. A quantization scheme is discussed for each. The quantum algebras are represented as the enveloping algebras of generalized Lie algebras.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 3, pp. 476–488, June, 1995.     

Self-dual Yang-Mills fields ind=4 and integrable systems in 1≤d≤3

The Ward correspondence between self-dual Yang-Mills fields and holomorphic vector bundles is used to develop a method for reducing the Lax pair for the self-duality equations of the Yang-Mills model ind=4 with respect to the action of continuous symmetry groups. It is well known that reductions of the self-duality equations lead to systems of nonlinear differential equations in dimension 1d3. For the integration of the reduced equations, it is necessary to find a Lax pair whose compatibility conditions is these equations. The method makes it possible to obtain systematically a Lax representation for the reduced self-duality equations. This is illustrated by a large number of examples.N. N. Bogolyubov Theoretical Physics Laboratory, JINR, 141980 Dubna, Russia. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 3, pp. 384–419, March, 1995.