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The Crocco Method in Hydraulic Filtration Theory —A Homogeneous Rectangular Dam

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Power Technology and Engineering Aims and scope

It is proven that the magnitude of the extrusion gap (dicontinuity of the depression curve) is obtained from the solution for establishment of the Boussinesq boundary problem for a solitary flow rate. The boundary problem of nonstationary filtration is reduced to the Crocco typical boundary problem.

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References

  1. P. Ya. Polubarinova-Kochina, Theory of Ground Water Movement [in Russian], GTTI, Moscow (1952).

  2. É. N. Bereslavskii, “Mathematical modeling of filtration flows from foundation pits fenced with Zhukovskii sheet piles,” Inzh.- Fiz. Zh., 87(1), 3 – 14 (2014).

    Google Scholar 

  3. É. N. Bereslavskii and L. M. Dudina, “Ground water movement to an incomplete gallery in the presence of evaporation from a free surface,” Mat. Model., 30(2), 99 – 109 (2018).

    Google Scholar 

  4. L. Crocco, “Sulla strata limite laminare nei gas lungo una lamina plana,” Rend. Math. Appl. Ser. 5, 21, 138 – 152 (1941).

    MATH  Google Scholar 

  5. M. P. Petrichenko and N. S. Khar’kov, “Boundary problems for the Crocco equation in transposition theory,” in: Nauch. Tekhn. Nov. S.-Peterburg. Gos. Politekh. Univ. Fiz.-Mat. Nauki, No. 3(201), 47 – 56 (2014).

  6. M. P. Petrichenko, D. D. Zaborova, E. V. Kotov, and T. A. Musorina, “Weak solutions of Crocco boundary problems,” Nauch. Tekhn. Nov. S.-Peterburg. Gos. Politekh. Univ. Fiz.-Mat. Nauki, 11(3), 27 – 38 (2018).

    Google Scholar 

  7. V. P. Varin, “Asymptotic expansion of the Crocco solution and the Blasius constant,” Prepr. IPM Keldysha RAN, No. 106, http://keldysh.ru/papers/2016/prep2016_106.pdf (2016).

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Correspondence to M. R. Petrichenko.

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Translated from Gidrotekhnicheskoe Stroitel’stvo, No. 6, June 2019, pp. 41 – 44.

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Petrichenko, M.R., Zaborova, D.D. & Kotov, E.V. The Crocco Method in Hydraulic Filtration Theory —A Homogeneous Rectangular Dam. Power Technol Eng 53, 445–448 (2019). https://doi.org/10.1007/s10749-019-01097-7

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  • DOI: https://doi.org/10.1007/s10749-019-01097-7

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