Schnelle Berechnung der mittleren Temperaturdifferenz in luftgekühlten Kreuzstromwärmeaustauschern

Zusammenfassung Es wird eine bekannte, explizite Näherungsgleichung mit zehn neuen Sätzen von jeweils sechzehn empirischen Konstanten vorgestellt zur schnellen Berechnung der mittleren Temperaturdifferenz von nunmehr insgesamt achtzehn Kreuzstromführungen. Die mittlere Temperaturdifferenz wird aus der dimensionslosen Abkühlung des Prozeßstromes und der Zahl der Übergangseinheiten auf der Luftseite berechnet.

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Fast calculation of mean temperature difference in air-cooled cross-flow heat exchangers

A known approximate explicit equation together with ten new sets of sixteen empirical coefficients is presented for the fast calculation of the mean temperature difference of by now all together eighteen crossflow arrangements. The mean temperature difference is calculated from the effectiveness of the process stream and the number of transfer units on the air side.

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Bezeichnungen b_{i, K} Konstanten in Gl. (6) - c_p spezifische Wärmekapazität der Luft bei Konstanten Druck - Wärmekapazitätsstrom der Luft - F Austauschfläche, Fläche - f mittlerer absoluter Fehler von r - i, k Exponenten und Summenzähler in Gl. (6) - K Wärmedurchgangskoeffizient - m, n Maximalwerte von i bzw. k - p, q dimensionslose Temperaturänderungen beider Fluide, definiert durch Gln. (2) und (3) - r dimensionslose mittlere Temperaturdifferenz, definiert durch Gl. (1) - s Zahl der Übergangseinheiten (NTU) auf der Luftseite, definiert durch Gl. (4) - T Temperatur des Prozeßstroms - w Anströmgeschwindigkeit der Luft - z Zahl der Punkte - endliche Differenz - Dichte der Luft Indices I eine Rohrreihe - 1, 2 Eintritt, Austritt - a Anströmquerschnitt - Ge Gegenstrom - Gl Gleichstrom - M Mittelwert - max Maximalwert (nicht Mittelwert) Herrn Prof. em. Dr.-Ing. Dr.-Ing. E. h. H. Hausen zur Vollendung seines 85. Lebensjahres     

Application of holographic interferometry to a study of wave propagation in rock

Holographic interferometry was utilized to determine the three orthogonal components of displacement in elastic surface waves. A pulsed ruby laser was used as the light source and techniques to improve its coherence properties are described. Procedures for the formation and reconstruction of the hologram, fringe interpretation, and data reduction and presentation are detailed. The elastic-wave velocities and material constants for pink westerly granite were obtained. Solutions for an explosively generated Rayleigh wave in a half space and its reflection from a free edge are presented.     

Nonlinear wave motion in magnetoelasticity

Archive for Rational Mechanics and Analysis -     

Surface deformation measurements of a cylindrical specimen by digital image correlation

Planar digital image correlation has been extended to measure surface deformations of cylindrical specimens without physical contact for high-temperature situations. A single CCD camera acquires the surface image patterns of a section of a specimen in the undeformed and deformed states to determine two-dimensional displacements on a projection plane. Axial, circumferential and shear deformations are determined through curvature transformation on the two-dimensional projection displacement field. The resolution of this technique was determined for a cylinder of 22.23-mm diameter to be 3.5 μm for the axial displacement, 0.05 percent for the axial and shear strains and 0.08 percent for the circumferential strain when correlation computations are carried out over a field of 5 mm×5 mm.     

Microprojectile velocities in a gas driven launcher

Microprojectile methods of genetic engineering sometimes employ a macroprojectile which launches the microprojectiles when it hits a stopping plate. A study has been made of the relationship between the velocities of the macroprojectile and the microprojectile it launches. Macroprojectile velocities were measured using a beam blanking method and the microprojectile velocities were measured with a laser Doppler anemometer. Particles of tungsten, titanium dioxide and silicon carbide were investigated as microprojectiles. The microprojectile velocity was found to depend not only on the macroprojectile velocity but also on the microprojectile size and material, the bond strength with the macroprojectile and the gas flow that develops ahead of the macroprojectile. On average the microprojectile launch velocity was similar to the macroprojectile velocity. However, some tungsten particles had velocities twice this value. Experimental evidence suggests that these higher velocities were caused by early break-way of particles from the macroprojectile followed by further acceleration by aerodynamic drag arising from the gas flow ahead of the macroprojectile.We are especially grateful for the advice of Dr. M. Gharib on the use of the HSI color system. John Lyons provided expert help in the laboratory and materials for and advice on photography. We thank the staff of the SIO Hydraulics Laboratory for making the wind-wave channel available for our use, and the staff of UCSD library for enabling us to use the Barneyscanner photometer-digitizer. We thank an anonymous reviewer who pointed out a numerical error and improved the clarity of the text.     

Assessment of a quintuple hotwire measurement technique for highly turbulent flows

A five-wire calibration and measurement technique is presented, which is an extension of the four-wire method developed by Döbbeling et al. (1990a, b). From numerical simulations of the uniqueness domain and the angular resolution it is concluded that the uniqueness domain of the quintuple technique can be expanded to a hemisphere as opposed to the four-wire techniques which are restricted to a conical domain of about 40° half angle. Measurements of the mean velocities and Reynolds stresses in a low-turbulence jet and in grid turbulence confirm and complement the results of the numerical simulations. It is thus shown that the quintuple method achieves increased accuracy in an expanded measurement range.The work of D. Hölzer, student of engineering at the University of Karlsruhe, and the support of W. Paulat and W. Pfeffinger in writing the data aquisition software, and H. Klette who manufactured the probe, is gratefully acknowledged. This work was supported by the Deutsche Forschungsgemeinschaft within the framework of the Sonderforschungsbereich 167, Hochbelastete Brennräume- Stationäre Gleichdruckverbrennung, Teilprojekt A10.     

Design and stress evaluation of a nonsymmetric pressure vessel

Presently, the large variation in demand for electrical power at different periods of the day imposes new considerations in the evaluation of pressure components in large steam-generating equipment. In the past, pressure components such as valve bodies have been designed for static pressure conditions against bursting with sufficient stiffness to assure operation ability. In today's plant operation, the response of the valve body to thermal transients will have a major influence on the life of the valve. Since the valve body is a compact nonsymmetric body, the direct calculation of stresses is very complex. The evaluation of the behavior of nonsymmetric pressure components under the loads imposed by various operational modes requires information from both analytical and experimental methods of analysis. The contributions from modern computer-calculation programs and three-dimensional photoelasticity are discussed as applied to the evaluation of a valve body used in a large, supercritical steam generator. In the analysis, computer procedures are used to develop the preliminary geometry for pressure loading. Because of the close proximity of the nonsymmetrical openings, a three-dimensional photoelastic analysis is used to calibrate the computer model. Once a satisfactory computer model has been developed for pressure loading, it is used to calculate the thermal stresses. Since stresses have little meaning in themselves, a design basis is necessary to evaluate the significance of the calculated stresses. The design basis must consider the types of failures which are possible and is thus dependent on the temperature at which the valve must operate. A design basis is discussed for the evaluation of pressure components in a boiler system.     

Das mechanische Verhalten von Thermoplasten bei mittlerer und hoher Deformation bis zum Bruch

Zusammenfassung Es wird versucht, den Deformationsvorgang bis zum Bruch an einem unvernetzten thermoplastischen Material zu analysieren. Dabei zeigt es sich, daß das makroskopische Bruchverhalten des Materials durch die beiden konkurrierenden Vorgänge des mikroskopischen Fehlstellenwachstums und der aufgezwungenen makroskopischen Deformation bestimmt wird. Da das Fehlstellenwachstum wiederum von der molekularen Reaktion des Materials auf die Deformation abhängt, ergeben sich enge Zusammenhänge zwischen dem Dehnungs- und Bruchverhalten und den molekularen Relaxationsprozessen.Diese Zusammenhänge werden an einem Weichmacherfreien PVC erstens mit Hilfe von Zugversuchen in einem weiten Geschwindigkeits- und Temperaturbereich und zweitens mit einer indirekten Methode zur Verfolgung des Fehlstellenwachstums untersucht.Wenn mit niedrigeren Geschwindigkeiten die zur Verfügung stehende Zeit und bzw. oder die Versuchstemperatur zunehmen, steigt die mittlere Dehnbarkeit erstmalig an, wenn die Neben-Relaxationsmechanismen die Streckspannung abbauen können, und erreicht sehr hohe Werte, wenn die Hauptrelaxationsmechanismen die lokalen Spannungen an den Fehlstellen herabsetzen.

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Summary An attempt is made to analyse the deformation process of a non-crosslinked thermoplastic material until fracture occurs. It is shown that the macroscopic fracture behaviour is determined by the competition of the microscopic flaw growing with the macroscopic elongation. The flaw growing itself depends on the molecular reaction of the specimen against the elongation forced upon it. This causes certain relations between the strain- and fracture-behaviour and the molecular relaxation processes of the material.These relations were investigated by means of tensile tests on unplastified PVC in a wide speed and temperature range. Moreover the flaw growing during the tensile tests is examined by a new indirect method.With increasing test time and temperature the mean elongation increases for the first time, when the secondary relaxation processes are able to reduce the yield stress. A further marked increase of the elongation is to be stated when the main relaxation processes diminish the local stresses at the microscopic flaws.

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Vorgetragen auf der Jahrestagung der Deutschen Rheologen in Berlin-Dahlem am 22. Mai 1968.