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  • Hindawi  (1)
  • Wiley-Blackwell  (1)
  • 1980-1984  (2)
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  • 1
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    Influence of wall waviness on friction and pressure drop in channels (1981)
    Hindawi
    Details
    Publication Date: 1981-01-01
    Description: An attention has been given to investigate the flow behavior of an incompressible viscous fluid confined in horizontal wavy channels and set in motion due to the movement of the upper wall and the pressure differences. The governing equations have been solved analytically as well as numerically subject to the relevant boundary conditions by assuming that the solution consists of two parts: a mean part and a disturbance or perturbed part. For small and moderate Reynolds numbers, the analytical solution for the perturbed part has been found to be in good agreement with the numerical one. The effects of Reynolds number, the pressure gradient parameter, and the undulation wavenumber on friction and pressure drop are found to be quite significant. In addition to the flow behavior for both long and short waves and for large Reynolds numbers, the effect of the wall waviness on friction and pressure drop has been examined for any arbitrary amplitude of the wavy wall.
    Print ISSN: 0161-1712
    Electronic ISSN: 1687-0425
    Topics: Mathematics
    Published by Hindawi
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  • 2
    Electronic Resource
    Electronic Resource
    Mathematical simulation of singularities for isoparametric elements of arbitrary orders (1981)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 17 (1981), S. 465-470 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: For the general quadrilateral isoparametric elements with 4(n-1) nodes (i.e. n nodes along each side), it is shown that the inverse square root singularity of the strain field at the crack tip can be obtained by a general but simple rule. This amounts to collapsing the quadrilateral elements into triangular elements around the crack tip and placing the (n-2) mid-side nodes at locations γ2/(n-1)2 (γ=1,2,…, n-2) times the length of side emanating from the crack tip. These locations are measured from the crack tip. The known results for n = 3 and n = 4 are thus obtained as special cases.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620170312
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