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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 15 (1976), S. 403-410 
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung Mit Hilfe einer Störungsrechnung wird die schleichende Strömung einer viskoelastischen Flüssigkeit durch eine Rohrverengung berechnet. Die dabei auftretenden Randwertaufgaben werden mit der Methode der finiten Elemente gelöst. Für ein Kontraktionsverhältnis von 2:1 werden Ergebnisse für die Stromfunktion, die Geschwindigkeitsverteilung und den Verlauf der Reibungsspannungen entlang der Rohrachse angegeben und diskutiert. Die Ergebnisse für das Geschwindigkeitsfeld zeigen, daß in der Kontraktionszone eine Sekundärströmung erzeugt wird, die aus zwei entgegengesetzt drehenden Ringwirbeln besteht. Da diese der Primärströmung zu überlagern ist, besteht bei einer viskoelastischen Flüssigkeit im Unterschied zu einer newtonschen in der Kontraktionszone die Tendenz zu einer Zirkulationsströmung.
    Notes: Summary The creeping flow of a viscoelastic fluid through a tapered contraction is analysed by using a perturbation method. Finite element method has been applied to solve the vorticity transport and stream function equations. For a contraction ratio of 2:1 results for the stream function, the velocity distribution and the stress components along the tube axis are presented and discussed. The results indicate that for a viscoelastic fluid there is a tendency of circular motion in the contraction zone.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Rheologica acta 15 (1976), S. 283-289 
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Summary The two-dimensional creeping flow of a simple viscoelastic fluid through a finite gap located in an infinitely wide plate is analysed by using a perturbation method. Solutions for the streamline pattern, the velocity distribution in the gap and the stress components are derived and discussed. Because of the restrictions of the perturbation method no circular flow, as observed in some experiments, is predicted, but the results indicate at least some tendencies into this direction.
    Notes: Zusammenfassung Es wird die zweidimensionale schleichende Strömung einer einfachen viskoelastischen Flüssigkeit durch einen endlich breiten Spalt mit Hilfe einer Störungsrechnung untersucht. Dabei wird vorausgesetzt, daß die Relaxationslänge klein gegen die Spaltbreite ist. Für einige Werte der Strömungsparameter werden Ergebnisse für die Geschwindigkeitsverteilung im Spalt, den Stromlinienverlauf und die Reibungsspannungen graphisch dargestellt und diskutiert. Obwohl wegen der Beschränkung der Lösungsmethode die bei Experimenten beobachteten Zirkulationsströmungen nicht beschrieben werden können, zeigen die Ergebnisse, daß die Tendenz der Abweichung vom newtonschen Verhalten in die gleiche Richtung geht.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of materials science 21 (1986), S. 2633-2642 
    ISSN: 1573-4803
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In the process of developing an alkali-resistant glass composition to be used as reinforcing fibres with cement, a glass in the system SiO2-PbO- Al2O3-R2O (R = an alkali metal) was adopted after some trials. The glass composition which possesses low melting point (1350° C), fair alkaline resistance (particularly in the long term) and appears to have satisfactory fibrilizing qualities, has the composition: SiO2 = 34%, PbO = 59%, Al2O3 = 3%, K2O= 3.5% and Na2O = 0.5% (wt%). The alkaline durability of the glass fibres (coated and uncoated) was studied at pH 9, 10, 11 and 12. There was no significant difference in the amount of extraction of the constituents in the leaching solution at pH 9 and 10. At pH 11 and 12 the amount of extraction value of the constituents initially increased up to seven days and thereafter no significant increase could be detected. The thermodynamic stability of the different oxides under present investigation (SiO2, Al2O3, PbO) in aqueous solutions at different pH values has been discussed with standard thermochemical data and it has been shown that alkaline durability of the glass fibres can be satisfactorily correlated with thermodynamic predictions. There is a lower value in the extraction of the constituents in the case of coated fibres, than those of uncoated fibres. An epoxy resin with a cycloaliphatic diamine improves alkaline durability.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 5 (1985), S. 71-80 
    ISSN: 0271-2091
    Keywords: Finite Difference ; Residual Method ; Elliptic Equation ; Cavity Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A residual method of finite differencing the governing differential equation for the elliptic transport problem is presented. The new finite differencing technique is applied to (1) the one-dimensional transport problem and (2) the cavity flow problem for numerical illustrations. The results indicate the validity of the residual method of finite differencing. The usual method of term-by-term finite differencing, and considerations such as central differencing, hybrid differencing and upwind differencing are not needed in the present residual method.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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