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.
Similar content being viewed by others
References
P. Ya. Polubarinova-Kochina, Theory of Ground Water Movement [in Russian], GTTI, Moscow (1952).
É. N. Bereslavskii, “Mathematical modeling of filtration flows from foundation pits fenced with Zhukovskii sheet piles,” Inzh.- Fiz. Zh., 87(1), 3 – 14 (2014).
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).
L. Crocco, “Sulla strata limite laminare nei gas lungo una lamina plana,” Rend. Math. Appl. Ser. 5, 21, 138 – 152 (1941).
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).
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).
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).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Gidrotekhnicheskoe Stroitel’stvo, No. 6, June 2019, pp. 41 – 44.
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10749-019-01097-7