Closed-Form Theoretical Solution for Finite-Depth Seepage below Flat Apron with Equal End Cutoffs and a Downstream Step

    Authors

    A. K. Jain;L. N. Reddi

    Comments

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    Abbreviated Journal Title

    J. Hydrol. Eng.

    Keywords

    Conformal mapping; Flat apron; Cutoff; Seepage; Uplift pressure; Exit; gradient; Step; DESIGN; WEIR; Engineering, Civil; Environmental Sciences; Water Resources

    Abstract

    The paper gives a closed-form theoretical solution for the steady seepage below the flat horizontal impervious apron of a hydraulic structure with equal end cutoffs, with a step at the downstream end, founded on a pervious medium of finite depth. This is obtained by using Schwarz-Christoffel transformation in two stages. The numerical solution of the resulting implicit equations involving elliptic integrals gives the uplift pressures at key points, seepage discharge factor, and exit gradient factor in terms of nondimensional floor profile ratios. Design charts have been given for these seepage characteristics. DOI: 10.1061/(ASCE)HE.1943-5584.0000583. (C) 2012 American Society of Civil Engineers.

    Journal Title

    Journal of Hydrologic Engineering

    Volume

    17

    Issue/Number

    12

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    1358

    Last Page

    1367

    WOS Identifier

    WOS:000312714000008

    ISSN

    1084-0699

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