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  • 11
    Electronic Resource
    Electronic Resource
    A unified theory of turbulent flow (1959)
    Springer
    Flow, turbulence and combustion 8 (1959), S. 158-168 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary A critical analysis is made of the assumptions underlying Reynolds' equations for turbulent flow. It is shown that there are regions in a flow field where these assumptions break down, and it is therefore necessary to separate the flow into a turbulent core and a laminar sublayer. The importance of the boundary conditions to be imposed on the mean velocities and Reynolds stresses at the junction is emphasized as this is the way in which the effect of surface roughness enters the theory. A set of equations for calculating turbulent flows is proposed. The distinctive feature is that the turbulent stresses are represented as the difference between viscous terms with a large eddy viscosity and terms satisfying auxiliary differential equations proposed by Broszko. These terms may be associated with the free and wall turbulence respectively. The theory enables the idea of a large eddy viscosity to be applied even where the velocity gradient is large. The results obtained for specific configurations, which will be reported in detail in future papers, are previewed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00411746
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    Paper (German National Licenses)
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  • 12
    Electronic Resource
    Electronic Resource
    Letters to the Editor (1979)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 25 (1979), S. 559-560 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690250331
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  • 13
    Electronic Resource
    Electronic Resource
    A unified theory of turbulent flow (1961)
    Springer
    Flow, turbulence and combustion 10 (1961), S. 439-456 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary A general theory of turbulent flow is applied to Couette flow between concentric cylinders. It appears that the basic differential equation of the theory is capable of describing the velocity profiles obtained experimentally if suitable assumptions are made about the structure of the flow and the numerical value of constants in the equation. However, in its present state of development, the theory is not capable of predicting the flow pattern from the Reynolds number and relative diameters of the inner and outer cylinders. The need is shown for additional experimental investigations to define the conditions for the appearance of the various flow patterns.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00411937
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    Paper (German National Licenses)
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  • 14
    Electronic Resource
    Electronic Resource
    A unified theory of turbulent flow (1961)
    Springer
    Flow, turbulence and combustion 10 (1961), S. 23-44 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary A general theory of turbulent flow is applied to incompressible flow in a circular pipe. The theoretical mean velocity distribution is found to be in good agreement with experiment, but there is some discrepancy in the normal stress distribution. The available pressure drop data are used to estimate the value of the apparent wall velocity as a function of Reynolds number and roughness. It is found that the results can be represented by simple expressions which in turn imply simple expressions for the pressure drop as a function of Reynolds number and roughness. However, it has not been possible to derive these results from fundamental considerations. The basis of Reynolds analogy and the application of the theory to channel flow are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00411896
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  • 15
    Electronic Resource
    Electronic Resource
    A unified theory of turbulent flow (1960)
    Springer
    Flow, turbulence and combustion 9 (1960), S. 393-410 
    Details
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary A general theory of turbulent flow is applied to incompressible plane Couette flow. It is found that a unique formulation is not obtained because of a singularity in the equations and problems relating to the boundary conditions. Solutions are obtained for several different assumptions. The characteristic feature is a square root velocity profile for high Reynolds numbers. The logarithmic law is obtained as a divergent approximation. There are discrepancies in the available experimental data; one set agreeing with the square root form, and a second set with the logarithmic form.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00382217
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  • 16
    Electronic Resource
    Electronic Resource
    Calculation and inversion of K/K′ on a programmable calculation (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1559-1562 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Approximate and exact methods are presented for computing a function, related to complete elliptic integrals of the first kind, which arise in the theory of microwave transmission lines. The method can be implemented on programmable hand calculators.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620141010
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  • 17
    Electronic Resource
    Electronic Resource
    Comment on exponential fitting using integral equations (1975)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 491-491 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620090218
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    Paper (German National Licenses)
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  • 18
    Electronic Resource
    Electronic Resource
    The numerical treatment of laplace transforms: I. The Koizumi inversion method (1984)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 1697-1702 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An inversion formula based on expansion in a Fourier sine series, proposed by Koizumi in 1935, is examined. It is found to give results of moderate accuracy with relatively little work.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620200912
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    Paper (German National Licenses)
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  • 19
    Electronic Resource
    Electronic Resource
    Numerical evaluation of a class of singular double integrals by symmetric pairing (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 703-708 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Two quadrature rules based on nodes in a rhombus are used to evaluate integrals over a square with integrands which are singular on a diagonal. The rules are also compared for non-singular integrals with an equivalent product Gauss rule.
    Additional Material: 4 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620100316
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  • 20
    Electronic Resource
    Electronic Resource
    A quadrature method for finite intervals (1976)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 10 (1976), S. 708-712 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The quadrature rule for a finite interval obtained by transforming to an infinite range and applying the midpoint rule is examined. It is found that the condition required to make the quadrature exact for a constant integrand imposes severe practical limits. The method is very good for integrands with singularities near the endpoints but ineffective for oscillatory integrands.
    Additional Material: 2 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620100317
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