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  • 1
    Electronic Resource
    Electronic Resource
    On the theory of adsorption kinetics of ionic surfactants at fluid interfaces (1985)
    Springer
    Colloid & polymer science 263 (1985), S. 420-423 
    Details
    ISSN: 1435-1536
    Keywords: adsorption kinetics ; ionic surfactants ; electric double layer influence ; theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The kinetic equation to describe the adsorption process of ionic surfactants (derived in part 1) will be solved numerically. The results show the effect of parameters such as ion valencyz, thickness of theDL x −1, and surfactant parametersΓeq,K, andK ads on the adsorption process. The results can be used to decide whether the model can explain experimental data on charged surfactant molecules or not.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01410392
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  • 2
    Electronic Resource
    Electronic Resource
    On the theory of adsorption kinetics of ionic surfactants at fluid interfaces 3. Generalization of the model (1991)
    Springer
    Colloid & polymer science 269 (1991), S. 923-928 
    Details
    ISSN: 1435-1536
    Keywords: Adsorptionkinetics ; theory ; ionicsurfactants
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract It was shown that, in the case of adsorbing ions, the Boltzmann equation cannot be applied in its classical form, but has to be modified by considering the flux of adsorbing ions. From the comparison with the adsorption of nonionic surfactants a ratio results which is the measure of deceleration of adsorption kinetics due to the electric double layerr=K(y s)/δ(t). At highr-values the electrostatic deceleration controls the adsorption kinetics process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00657309
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  • 3
    Electronic Resource
    Electronic Resource
    On the theory of adsorption kinetics of ionic surfactants at fluid interfaces (1983)
    Springer
    Colloid & polymer science 261 (1983), S. 335-339 
    Details
    ISSN: 1435-1536
    Keywords: Adsorption kinetics ; ionic surfactants ; influence of the electric double layer ; theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The influence of the electric field caused by an electric double layer (DL) on the adsorption kinetics of charged surfactant molecules at fluid interfaces is described for the case of high surface potentials and a quasi-equilibrium state of the DL. Known relations for the description of the transport of molecules in the diffusion layer and the DL respectively are used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01413940
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Adsorption kinetics of surfactants from micellar solutions (1981)
    Springer
    Colloid & polymer science 259 (1981), S. 1124-1128 
    Details
    ISSN: 1435-1536
    Keywords: Adsorption kinetics ; surfactants ; micellar solutions ; theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Zusammenfassung Es wird ein Modell für die diffusionskontrollierte Adsorption von Tensiden aus mizellaren Lösungen angegeben und numerisch gelöst. Das dabei zugrundegelegte Modell für die Mizellkinetik entspricht einem Bildungs-Auflösungs-Mechanismus. Es wird der Einfluß von Parametern wie Mizellkonzentration, Assoziationsgrad, Geschwindigkeitskonstanten der Mizellkinetik auf die Adsorptionskinetik diskutiert.
    Notes: Summary A model of diffusion controlled adsorption of surfactants from micellar solutions is given and numerically solved. The model used to describe the micelle kinetics corresponds to a formation-dissolution mechanism. Parameters like micelle concentration, aggregation number, rate constant of formation or dissolution of micelles influencing the adsorption process are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01524900
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  • 5
    Electronic Resource
    Electronic Resource
    On consistent finite difference formulae for ordinary differential equations (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1567-1573 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper presents a finite difference method for two-point boundary value problems described by fourth-order ordinary differential equations which results in consistency of truncation errors. It is demonstrated that the order of the formulae used to approximate the boundary conditions must be higher than those used for similar derivative terms in the differential equation. A generalization of the method to differential equations of order n is discussed. The procedure is illustrated with a numerical example.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620141012
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  • 6
    Electronic Resource
    Electronic Resource
    A finite element-equivalent energy linearization technique for the analysis of nonlinear plate vibration (1985)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 21 (1985), S. 1499-1520 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A simplified technique for the dynamic analysis of geometrically nonlinear plate structures is developed. The essence of this technique is the construction of a linear substitute of the nonlinear problem. The linear substitute problem is derived from an equivalence criterion which involves balancing the energies of the linear substitute model and the nonlinear model over one period of oscillation. The linearized equations are discretized by a finite element method, and solutions at different amplitudes are obtained numerically by an incremental-iterative scheme. To verify the equivalent energy linearization approach, example problems consisting of the free and forced vibration of nonlinear circular plates with various boundary conditions are studied. All results are compared to theoretical and numerical solutions in the literature. In addition, the forced vibration results are compared to available experimental results. These comparisons tend to validate the assumptions made in the equivalent energy linearization procedure. The proposed method is found to be computationally more efficient than other available procedures.
    Additional Material: 20 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620210811
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  • 7
    Electronic Resource
    Electronic Resource
    Numerical analysis of a generalized plane elastica (1980)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 15 (1980), S. 325-332 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This article presents the derivation of a very straightforward approximate procedure for the analysis of a continuous flexible member. Since very large deformations are anticipated, a shooting method is utilized along with Newton-type iteration for improved estimates. The resulting computer program is used to compare with exact solutions for a new examples.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620150302
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    Paper (German National Licenses)
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