Ship hull drag reduction using bottom air injection

The idea of bottom air injection to reduce ship hull resistance is not new. Early patents envisioned planing hull applications. Recent planing hull tests speed realized an increase of 7–12 knots. River barges and ship fitted with an air injection system results are presented to show a 10–15% reduction in the frictional resistance. Graphs for making initial estimates for displacement hulls with bottom air injection are presented. It is clear from these results that improvements in high speed planing catamarans and full form hull resistance can be realized by using bottom air injection.     

La constante solar

Zusammenfassung Aus der Temperatur der Sonnenoberfläche und der Entfernung Sonne-Erde ergiebt sich die Solarkonstante 2.4 in Uebereinstimmung mit dem rohen Wert, der die Instrument-Temperatur berücksichtigt. Da an den meisten Observatorien die mittägliche Sonnenhöhe nicht ausreicht für eine genaue Bestimmung der Solarkonstante, wird 2.4 als rohe vorläufige Solarkonstante vorgeschlagen, bis im Laufe der nächsten 2 Jahre eine genauere Bestimmung vorliegt. Vermutlich ist auch die Strahlungskonstante von dem Temperaturfehler beeinflusst.     

The atmospheric tide as a continuous spectrum: Lunar semidiurnal tide in surface pressure

Summary The standard equations for the theory of atmospheric tides are solved here by an integral representation on the continuous spectrum of free oscillations. The model profile of back-ground temperature is that of the U.S. Standard Atmosphere in the lower and middle atmosphere, and in the lower thermosphere, above which an isothermal top extends to arbitrarily great heights. The top is warm enough to bring both the Lamb and the Pekeris modes into the continuous spectrum.Computations are made for semidiurnal lunar tidal pressure at sea level at the equator, and the contributions are partitioned according to vertical as well as horizontal structure. Almost all the response is taken up by the Lamb and Pekeris modes of the slowest westward-propagating gravity wave. At sea level, the Lamb-mode response is direct and is relatively insensitive to details of the temperature profile. The Pekeris mode at sea level has an indirect response-in competition with the Lamb mode-and, as has been known since the time of its discovery, it is quite sensitive to the temperature profile, in particular to stratopause temperature. In the standard atmosphere the Lamb mode contributes about +0.078 mb to tidal surface pressure at the equator and the Pekeris mode about –0.048 mb.The aim of this investigation is to illustrate some consequences of representing the tide in terms of the structures of free oscillations. To simplify that task as much as possible, all modifying influences were omitted, such as background wind and ocean or earth tide. Perhaps the main defect of this paper's implementation of the free-oscillation spectrum is that, in contrast to the conventional expansion in the structures of forced oscillations, it does not include dissipation, either implicity or explicity, and thus does not satisfy causality. Dissipation could be added implicity by means of an impedance condition, for example, which would cause up-going energy flux to exceed downgoing flux at the base of the isothermal top layer. To achieve complete causality, however, the dissipation must be modeled explicity. Nevertheless, since the Lamb and Pekeris modes are strongly trapped in the lower and middle atmosphere, where dissipation is rather weak (except possibly in the surface boundary layer), more realistic modeling is not likely to change the broad features of the present results.Symbols a earth's mean radius; expansion coefficient in (5.3) - b recursion variable in (7.4); proximity to resonance in (9.2) - c sound speed in (2.2); specific heatc _p in (2.2) - f Coriolis parameter 2sin in (2.2) - g standard surface gravity - h equivalent depth - i ; discretization index in (7.3) - j index for horizontal structure - k index for horizontal structure; upward unit vectork in (2.2) - m wave number in longitude - n spherical-harmonic degree; number of grid layers in a model layer - p tidal pressure perturbation; background pressurep ₀ - q heating function (energy per mass per time) - r tidal state vector in (2.1) - s tidal entropy perturbation; background entropys ₀ - t time - u tidal horizontal velocityu - w tidal vertical component of velocity - x excitation vector defined in (2.3); vertical coordinate lnp _*/p ₀ [except in (3.8), where it is lnp /p ₀] - y vertical-structure function in (7.1) - z geopotential height - A constant defined in (6.2) - C spherical-harmonic expansion coefficient in (3.6) - D vertical cross section defined in (5.6) and (5.9) - E eigenstate vector - F vertical-structure function for eigenstate pressure in (3.2) [re-defined with WKB scaling in (7.2)] - G vertical-structure function for eigenstate vertical velocity in (3.2) [re-defined with WKB scaling in (7.2)] - H pressure-scale height - I mode intensity defined in (8.1) - K quadratic form defined in (4.4) - L quadratic form defined in (4.4); horizontal-structure magnification factor defined in (5.11) - M vertical-structure magnification factor defined in (4.6) - P eigenstate pressure in (3.2); tidal pressure in (6.2) - R tidal state vector in (5.1) - S eigenstate entropy in (3.2); spherical surface area, in differential dS - T background molecular-scale (NOAA, 1976) absolute temperatureT ₀ - U eigenstate horizontal velocityU in (3.2); coefficient in (7.3) - V horizontal-structure functionV for eigenstate horizontal velocity in (3.2); recursion variable in (7.3) - W eigenstate vertical velocity in (3.2) - X excitation vector in (5.1) - Y surface spherical harmonic in (3.7) - Z Hough function defined in (3.6) - +dH/dz - (1––)/2 - Kronecker delta; Dirac delta; correction operator in (7.6) - equilibrium tide elevation - (square-root of Hough-function eigenvalue) - ratio of specific gas constant to specific heat for air=2/7 - longitude - - - background density ₀ - eigenstate frequency in (3.1) - proxy for heating functionq =c _P/t - latitude - tide frequency - operator for the limitz - horizontal-structure function for eigenstate pressure in (3.2) - Hough function defined in (6.2) - earth's rotation speed - horizontal gradient operator - ()₀ background variable - ()_* surface value of background variable - () value at base of isothermal top layer - Õ state vector with zerow-component - , energy product defined in (2.4) - | | energy norm - ()^* complex conjugate With 10 Figures     

Klastische und pyroklastische Sedimente des Südharzer Rotliegenden

Ohne Zusammenfassung     

Ein weiterer Beitrag zur Vereinfachung der graphischen Integration der barotropen Wirbelgleichung

Zusammenfassung In einer früheren Arbeit konnte gezeigt werden, daß das durchFjörtoft bei der graphischen Integration des barotropen Modells zur Rückermittlung des Isohypsenfeldes aus der Vorticityverteilung angewandte Näherungsverfahren, dem gewisse die Allgemeinheit einschränkende Voraussetzungen zugrunde liegen, durch eine statistische Methode mit Erfolg ersetzt werden kann. Der vorliegende Bericht beruht auf den gleichen statistischen Grundlagen, es kommen jedoch zusätzlich noch kinematische Überlegungen hinzu, die schließlich zu einer weiteren Vereinfachung des Arbeitsvorganges führen. Auswertungen an einer konkreten Wetterlage zeigen, daß sowohl die statistische wie die statistisch-kinematische Methode darüber hinaus eine gewisse Verbesserung der Resultate der Integration herbeiführen.

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Summary In a previous paper it was shown that the computation of the geopotential field from a given vorticity distribution by means of theFjörtoft method of graphical integration of the barotropic model may be improved by the introduction of statistical considerations. The present paper deals with the same subject, however expanded by kinematical considerations which eventually lead to a further simplification of the routine procedure. The application to an actual weather situation indicates that the statistical as well as the statistical-kinematical method render a certain improvement of the results.

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Résumé Dans une précédente étude, on avait montré que le processus d'approximation deFjörtoft permettant par intégration graphique de restituer le champ d'isohypses et qui supposait certaines restrictions, peut être remplacé avec succès par une méthode statistique. On ajoute ici à cette dernière des considérations d'ordre cinématique qui conduisent à simplifier encore le procédé. Un exemple pratique démontre que l'intégration proposée conduit à des résultats encore meilleurs.

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Mit 1 Textabbildung     

Über stratigraphische Untersuchungsmethoden in rezenten Tiefseesedimenten

Zusammenfassung Durch Bestimmung der Foraminiferenanzahl in I g Sediment wird die biostratigraphische Untersuchungsmethode, die mittels einer qualitativen und quantitativen Erfassung der Foraminiferenfauna in den Tiefseekernen der deutschen Meteor-Expedition und schwedischen Albatroß-Expedition durchgeführt werden ist, auf ihre Richtigkeit hin geprüft. Die Untersuchung hat die Anwendbarkeit dieser stratigraphischen Methode bestätigt. Sie hat daneben wiederum gezeigt, daß die Verbreitung und Entwicklung der einzelnen Foraminiferenarten vor allem von der Temperatur des Meerwassers abhängig sind; andere Faktoren wie Phosphatgehalt des Wassers usw. scheinen in dieser Hinsicht eine mehr untergeordnete Rolle zu spielen. Unter gewissen Voraussetzungen können Tiefseekerne durch Bestimmung der Foraminiferenanzahl je 1 g Sediment in groben Zügen stratigraphisch gegliedert werden; auch kann die Individuenanzahl der einzelnen Foraminiferenarten aus der Foraminiferenanzahl in 1 g Sediment und aus der prozentualen Zusammensetzung der Gesamtfauna errechnet werden. Mit den hier gewonnenen Erkenntnissen wird versucht, die engen Bezichungen zwischen dem prozentualen Anteil der Warmwasserforaminiferen in der Gesamtfauna und dem CO₂-Gehalt des Sedimentes, dieOvey im Kern 241 der schwedischen Albatroß-Expedition beobachtet hat, zu deuten.Herrn Professor Dr.Carl W. Correns zum 60. Geburtstag gewidmet.     

The Darfur Dome,western Sudan: the product of a subcontinental mantle plume

Field investigations, K-Ar age determinations and chemical data were used to describe the development of an intraplate volcanic province, the Darfur Dome, Sudan. Magmatism started 36 Ma ago at a small subvolcanic complex (Jebel Kussa) in the center of the dome and was active in the same area between 26 and 23 Ma. Two major volcanic fields (Marra Mountains and Tagabo Hills) developed between 16 and 10 Ma. Volcanism started again at 6.8 Ma with a third volcanic field (Meidob Hills) and at 4.3 Ma in the Marra Mountains and with the reactivation of the center. Activity then continued until the late Quaternary. Having started in the center of the Darfur Dome, volcanism moved in 36 Ma 200 km towards the NNE and 100 km SSW No essential difference in the alkaline magma types (basanitic to phonolitic-trachytic, with different amounts of assimilation of crustal material) in the different fields, was observed. Magmatism is thought to have been produced by a rising mantle plume and volcanism was triggered by stress resolution along the Central African Fault Zone.     

Changes in the water regime of the caspian sea

The article deals with issues of structure and dynamics of the Caspian Sea water balance. On the base of historical, paleogeomorphological and other data the evolution history of the Caspian Sea and its basin has been observed for different time intervals down to 400 thous. years ago. Presented are computerized data on water balance components in the current centenary obtained from instrumental observations, revealed are causes of the sea-level fluctuations within that time interval and anthropogenic factor contribution to this process. Based on the analysis of this material, an attempt has been undertaken to present a scenarion of a possible sea-level position of the Caspian Sea with the expected versions of climatic changes at the end of the XX and beginning of the XXI centuries.