Mathematical simulation of gravitational liquid film flow on a vertical surface with fins
Numerical methods and programming, Tome 14 (2013) no. 3, pp. 419-423.

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The process of liquid film flow on a vertical surface with fins is simulated; we consider the case of two-dimensional laminar steady flow. A boundary value problem for the flow equation is solved numerically by Galerkin's method, which allows us to find the values that characterize the flow: the flow rate, the average flow velocity, the density of irrigation, and the Reynolds criterion. The formulas for the average thickness of the film are obtained.
Keywords: mathematical simulation; film flow; Reynolds criterion; Poisson equation; Galerkin's method.
@article{VMP_2013_14_3_a18,
     author = {O. B. Butusov and Ya. M. Zhileikin and A. B. Kukarkin and O. P. Nikifiorova},
     title = {Mathematical simulation of gravitational liquid film flow on a vertical surface with fins},
     journal = {Numerical methods and programming},
     pages = {419--423},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a18/}
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O. B. Butusov; Ya. M. Zhileikin; A. B. Kukarkin; O. P. Nikifiorova. Mathematical simulation of gravitational liquid film flow on a vertical surface with fins. Numerical methods and programming, Tome 14 (2013) no. 3, pp. 419-423. http://geodesic.mathdoc.fr/item/VMP_2013_14_3_a18/